tag:blogger.com,1999:blog-12606586179849801472024-03-19T03:58:15.882+00:00MattebloggenEn samling oppgaver og undervisningsopplegg for mattelærere på ungdomstrinnet.Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.comBlogger36125tag:blogger.com,1999:blog-1260658617984980147.post-42409715974868976212019-04-07T06:49:00.001+01:002019-04-07T06:49:08.770+01:00Delelighet<div class="WordSection1" style="-webkit-text-stroke-width: 0px; caret-color: rgb(0, 0, 0); color: black; font-family: -webkit-standard; font-style: normal; font-variant-caps: normal; letter-spacing: normal; page: WordSection1; text-align: start; text-decoration: none; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px;">
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<span style="font-size: 18pt; line-height: 27.600000381469727px;">Her er noen oppgaver for trening på delelighet for 2 og 5. Fin og bruke i oppstart av faktorisering. </span></div>
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<b><span style="font-size: 18pt; line-height: 27.600000381469727px;">Oppgaver: Regler for delelighet<o:p></o:p></span></b></div>
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<!--[if !supportLists]--><span style="mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin;"><span style="mso-list: Ignore;">1)<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]-->Hvilke av disse tallene er delelig med 2?<o:p></o:p></div>
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<!--[if !supportLists]-->e)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->6 678<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l2 level1 lfo2; text-indent: -18.0pt;">
<!--[if !supportLists]-->f)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->12 443<o:p></o:p></div>
</div>
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<div class="MsoListParagraphCxSpMiddle" style="line-height: 16.866666793823242px; margin-left: 54pt;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]-->2)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->Lag en regel for hvilke tall som er delelige med 2. Og forklar hvorfor.<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 16.866666793823242px;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]-->3)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->a) Hva kaller vi de tallene som er delelig med 2?<o:p></o:p></div>
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b) Hvor mange positive tall mindre enn 10 er delelig med 2?<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 16.866666793823242px;">
c) Hvor mange positive tall mindre enn 100 er delelig med 2?<o:p></o:p></div>
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d) Hvor mange positive tall mindre enn 1200 er delelig med 2?<o:p></o:p></div>
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<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]-->4)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->Se på tallene i oppgave 1. <o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l4 level1 lfo3; text-indent: -18.0pt;">
<!--[if !supportLists]-->a)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->Hvilke av tallene er delelige med 10?<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l4 level1 lfo3; text-indent: -18.0pt;">
<!--[if !supportLists]-->b)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->Lag en regel for hvilke tall det er som er delelige med 10.<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 16.866666793823242px; margin-left: 54pt;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]-->5)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->Hvilke av disse tallene er delelige med 4?<o:p></o:p></div>
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<span style="font-family: Calibri; font-size: 11pt; line-height: 16.866666793823242px;"><br clear="all" style="break-before: auto;" /></span>
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<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l3 level1 lfo4; text-indent: -18.0pt;">
<!--[if !supportLists]-->a)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->56<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l3 level1 lfo4; text-indent: -18.0pt;">
<!--[if !supportLists]-->b)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->130<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l3 level1 lfo4; text-indent: -18.0pt;">
<!--[if !supportLists]-->c)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->516<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l3 level1 lfo4; text-indent: -18.0pt;">
<!--[if !supportLists]-->d)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->724<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l3 level1 lfo4; text-indent: -18.0pt;">
<!--[if !supportLists]-->e)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->1250<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l3 level1 lfo4; text-indent: -18.0pt;">
<!--[if !supportLists]-->f)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->2380<o:p></o:p></div>
</div>
<span style="font-family: Calibri; font-size: 11pt; line-height: 16.866666793823242px;"><br clear="all" style="break-before: auto;" /></span>
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<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]-->6)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->Lag en regel for hvilke tall som er delelig med 4.<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 16.866666793823242px;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<!--[if !supportLists]-->7)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->Hvilke av disse tallene er delelige med 5?<o:p></o:p></div>
</div>
<span style="font-family: Calibri; font-size: 11pt; line-height: 16.866666793823242px;"><br clear="all" style="break-before: auto;" /></span>
<div class="WordSection6">
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l1 level1 lfo5; text-indent: -18.0pt;">
<!--[if !supportLists]-->a)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->170<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l1 level1 lfo5; text-indent: -18.0pt;">
<!--[if !supportLists]-->b)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->235<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l1 level1 lfo5; text-indent: -18.0pt;">
<!--[if !supportLists]-->c)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->4 315<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l1 level1 lfo5; text-indent: -18.0pt;">
<!--[if !supportLists]-->d)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->5 232<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l1 level1 lfo5; text-indent: -18.0pt;">
<!--[if !supportLists]-->e)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->14 670<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l1 level1 lfo5; text-indent: -18.0pt;">
<!--[if !supportLists]-->f)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->31 559</div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l1 level1 lfo5; text-indent: -18.0pt;">
<span style="font-size: 11pt; text-indent: -18pt;"><br /></span></div>
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<span style="font-size: 11pt; text-indent: -18pt;">8) Lag en regel for å finne hvilke tall som er delelig med 5. Forklar hvorfor.</span></div>
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<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
9)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->Bruk regler for delelighet.</div>
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<!--[if !supportLists]-->a)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->Finn alle tall mindre enn 35 som er delelige med 5.<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l5 level1 lfo6; text-indent: -18.0pt;">
<!--[if !supportLists]-->b)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->Finn alle tall mindre enn 50 som er delelige med både 4 og 5.<o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l5 level1 lfo6; text-indent: -18.0pt;">
<!--[if !supportLists]-->c)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->Finn alle tall mindre enn 100 som er delelige med både 2 og 5.<o:p></o:p></div>
<div class="MsoListParagraphCxSpLast" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l5 level1 lfo6; text-indent: -18.0pt;">
<!--[if !supportLists]-->d)<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; line-height: normal;"> </span><!--[endif]-->Hvis et tall er delelig med både 3, 4 og 5, hvilke andre tall kan vi være sikre på at det også er delelig med?<o:p></o:p></div>
Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-13330801420167968562018-08-24T12:37:00.001+01:002018-08-24T12:37:14.192+01:00Varierte oppgaver for å lære seg matematiske begreper<div class="MsoTitle">
<b><span style="font-size: 15.0pt;">Forberedelser</span></b></div>
<div class="MsoListBullet" style="mso-list: l1 level1 lfo1;">
<!--[if !supportLists]--><span style="font-family: Symbol; font-size: 15.0pt; line-height: 130%; mso-bidi-font-family: Symbol; mso-fareast-font-family: Symbol;"><span style="mso-list: Ignore;">·<span style="font: 7.0pt "Times New Roman";"> </span></span></span><!--[endif]--><span style="font-size: 15.0pt; line-height: 130%;">For å jobbe med begreper i matematikk
med disse oppgavene kan læreren forberede seg ved å lage lapper med begreper
elevene skal kunne eller velge ut bestemte begreper til hver elev. Elevene kan
jobbe med oppgavene alene, i par eller grupper. Dersom man jobber med
begrepslæring systematisk, f.eks. et begrep i uken vil elevene være sterkere
rustet i å kunne kommunisere matematiske problemer, fremgangsmåter og svar. <o:p></o:p></span></div>
<h2>
<b style="mso-bidi-font-weight: normal;"><span style="font-size: 15.0pt; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin;">Oppgaver
til elevene<o:p></o:p></span></b></h2>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; mso-layout-grid-align: none; mso-list: l0 level1 lfo2; mso-pagination: none; tab-stops: 11.0pt 36.0pt; text-autospace: none; text-indent: -36.0pt;">
<!--[if !supportLists]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;"><span style="mso-list: Ignore;">•<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;">Les lappen din grundig, forbered deg på å fortelle en annen om
begrepet på lappen din.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; mso-layout-grid-align: none; mso-list: l0 level1 lfo2; mso-pagination: none; tab-stops: 11.0pt 36.0pt; text-autospace: none; text-indent: -36.0pt;">
<!--[if !supportLists]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;"><span style="mso-list: Ignore;">•<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;">Legg lappen med begrepssiden opp i midten på et ark. Lag et
tankekart til dette begrepet.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; mso-layout-grid-align: none; mso-list: l0 level1 lfo2; mso-pagination: none; tab-stops: 11.0pt 36.0pt; text-autospace: none; text-indent: -36.0pt;">
<!--[if !supportLists]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;"><span style="mso-list: Ignore;">•<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;">Lag en regneoppgave der du bruker begrepet<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; mso-layout-grid-align: none; mso-list: l0 level1 lfo2; mso-pagination: none; tab-stops: 11.0pt 36.0pt; text-autospace: none; text-indent: -36.0pt;">
<!--[if !supportLists]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;"><span style="mso-list: Ignore;">•<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;">Lag en setning der du bruker begrepet<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; mso-layout-grid-align: none; mso-list: l0 level1 lfo2; mso-pagination: none; tab-stops: 11.0pt 36.0pt; text-autospace: none; text-indent: -36.0pt;">
<!--[if !supportLists]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;"><span style="mso-list: Ignore;">•<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;">Lag et eksempel med tall til begrepet<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; mso-layout-grid-align: none; mso-list: l0 level1 lfo2; mso-pagination: none; tab-stops: 11.0pt 36.0pt; text-autospace: none; text-indent: -36.0pt;">
<!--[if !supportLists]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;"><span style="mso-list: Ignore;">•<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;">Lag en tegning som forklarer begrepet.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 36.0pt; margin-right: 0cm; margin-top: 0cm; mso-layout-grid-align: none; mso-list: l0 level1 lfo2; mso-pagination: none; tab-stops: 11.0pt 36.0pt; text-autospace: none; text-indent: -36.0pt;">
<!--[if !supportLists]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;"><span style="mso-list: Ignore;">•<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;">Lag en elevwiki med begrepene. (f.eks. wikispaces.com).<o:p></o:p></span></div>
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<!--[if !supportLists]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;"><span style="mso-list: Ignore;">•<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;">Lag en flervalgsoppgave til begrepet. En ide er å samle alle
oppgavene i klassen til en Kahoot (se kahoot.it).<o:p></o:p></span></div>
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<!--[if !supportLists]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;"><span style="mso-list: Ignore;">•<span style="font: 7.0pt "Times New Roman";">
</span></span></span><!--[endif]--><span style="color: #4d4c4c; font-size: 15.0pt; line-height: 150%; mso-ascii-font-family: "Times New Roman"; mso-ascii-theme-font: major-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-theme-font: major-latin; mso-hansi-font-family: "Times New Roman"; mso-hansi-theme-font: major-latin;">Lag en plakat om begrepet. Plakaten skal inneholde: begrepet som
overskrift, en forklaring, et eksempel og en illustrasjon.<o:p></o:p></span></div>
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<span style="color: #4d4c4c;"><span style="font-size: 20px;">I stedenfor å lage egne lapper kan kort med begreper og forklaringer kjøpes på www.jossie.no</span></span></div>
Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-13076384933057730442018-04-28T12:58:00.000+01:002018-04-28T12:58:18.107+01:00Algeprix<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_4HlB9pqUNqA_kZDRAUVPJkxYl2yZnXE7lL1UJIsJ527znG5S2tlFWGoWWuEARVp_Qd7hi1CNWB3oRWcgThDk77jpMEXmr9XImdTTZrrfLMQsKLev0XrTWScfElWrvow5G_sLaF3L_10/s1600/b5ae85_05dfa3fb5fd740ad8cf33cbdd691c6ce%257Emv2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="236" data-original-width="354" height="213" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_4HlB9pqUNqA_kZDRAUVPJkxYl2yZnXE7lL1UJIsJ527znG5S2tlFWGoWWuEARVp_Qd7hi1CNWB3oRWcgThDk77jpMEXmr9XImdTTZrrfLMQsKLev0XrTWScfElWrvow5G_sLaF3L_10/s320/b5ae85_05dfa3fb5fd740ad8cf33cbdd691c6ce%257Emv2.jpg" width="320" /></a></div>
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Algeprix er et brettspill der temaer som elevene skal arbeide med er å finne verdien av uttrykk, forståelse for variabler, bruke faktorer og potenser i beregninger og masse mer. Spillerne kaster terning og fargen og øynene på terningen forteller hvilken formel de skal ta for seg. Gjennom diskusjon og samhandling skal vil elevene få trening i å argumentere og diskutere matematiske problemstillinger. Underveis kan spillerne havne på felter som gjør at de enten må stå over en runde, eller de kan få et ekstra kast eller ta en liten snarvei mot mål. Dette spillet har jeg utviklet og er veldig stolt av resultatet. Det er også gøy at jeg får mange positive tilbakemeldinger fra lærere som bruker det i klasserommet, og fra foreldre som spiller med barna sine. Passer fra 5. trinn - vgs avhengig av faglig nivå. Spillet kan bestilles fra nettsiden <a href="http://www.jossie.no/">www.jossie.no</a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCbRRPx3fW1joib4cFq7t5iFTTDdL63xDf_ZL_zhRrcH2_7NsnSWXK7lXvGJlLSnkBnE2XdhiDxb4r7tXblDCH1Jb8IMx8b4NSms1H1j7Kf8zGnpaKLTgoaxSZ4Anet0L862tKcKJ2HLU/s1600/thumbnail_Algeprix-logo.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="250" data-original-width="296" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCbRRPx3fW1joib4cFq7t5iFTTDdL63xDf_ZL_zhRrcH2_7NsnSWXK7lXvGJlLSnkBnE2XdhiDxb4r7tXblDCH1Jb8IMx8b4NSms1H1j7Kf8zGnpaKLTgoaxSZ4Anet0L862tKcKJ2HLU/s1600/thumbnail_Algeprix-logo.jpg" /></a></div>
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Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-8198290646613555092017-12-09T09:07:00.001+00:002017-12-09T10:27:12.253+00:00Yes, endelig har mattespillene mine kommet<div class="separator" style="clear: both; text-align: center;">
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Etter flere år med spedbarnsliv har jeg endelig realisert drømmen om å utvikle læremateriell. Det første jeg har laget er to kortstokker som handler om å utvikle en rik begrepsforståelse i matematikk. Den ene er 50 grunnleggende matematiske begreper, den andre er innen geometri. Jeg har også laget et kjempe kult brettspill som heter Algeprix. Her er det mye god samarbeidslæring innen algebra. Dette er utrolig spennende, og jeg er veldig stolt over produkten. Se gjerne mer på hjemmesiden <a href="http://www.jossie.no/">www.jossie.no</a><br />
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Jeg må takke Skage Hansen fra <a href="http://www.getsmart.no/" target="_blank">getsmart.no </a>for god hjelp.Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-13454518338799544172014-04-10T09:02:00.002+01:002014-04-10T09:02:29.880+01:00Problemløsing<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrZ0PePlaa6jwjntVR8ZH_vJgnjD-RsMqYLPpxDm9lo4jkrgNGCvrLua0vT6-JWabKjmLFW-7ZoND3j0fw8YobvFhdLbKA21zz8farsKnyAm33UoUfk8WKH7KLYEzMzekAN2tIIMpqYds/s1600/bilde.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrZ0PePlaa6jwjntVR8ZH_vJgnjD-RsMqYLPpxDm9lo4jkrgNGCvrLua0vT6-JWabKjmLFW-7ZoND3j0fw8YobvFhdLbKA21zz8farsKnyAm33UoUfk8WKH7KLYEzMzekAN2tIIMpqYds/s1600/bilde.JPG" height="320" width="256" /></a></div>
Denne dukket opp på feeden min på facebook en dag. Jeg har bedt elevene løse denne og de har klart å komme fram til flere metoder å løse den på. Både som algebra og likning med tre ukjente.<br />Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com2tag:blogger.com,1999:blog-1260658617984980147.post-56299568805719555642012-06-02T21:22:00.000+01:002012-06-02T21:22:10.401+01:00Hvorfor er algebra vanskelig?Margrethe Naalsund, lektor ved lærerutdanningen på Universitetet for
miljø- og biovitenskap på Ås, har i sin doktorgrad kartlagt hvordan
norske elever tenker når de jobber med algebraregning. Les denne spennende artikkelen " Derfor er algebra vanskelig": <a href="http://www.forskning.no/artikler/2012/mai/323180">http://www.forskning.no/artikler/2012/mai/323180</a>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-84411592400307030672012-01-02T10:04:00.001+00:002012-01-02T10:05:12.140+00:00Tolke fartsdiagram fra Lillestrømulykken i 2000<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-GrlxH_EPGWE/TwGAJjBpgPI/AAAAAAAAAM4/HfF2pyIl7ik/s1600/f03-10.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="227" src="http://4.bp.blogspot.com/-GrlxH_EPGWE/TwGAJjBpgPI/AAAAAAAAAM4/HfF2pyIl7ik/s320/f03-10.jpg" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Kilde: Romeriket politidistrikt</td></tr>
</tbody></table>Her er et case hor elevene kan tolke fartsrullen fra toget som kolliderte på Lillestrøm stasjon 5. april 2000. Etterpå kan de sammenlikne med undersøkelseskommisjonen sin beskrivelse av samme diagram.<br />
<a name='more'></a><br />
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<div class="MsoNormal">Til elevene:</div><div class="MsoNormal"><b>Lillestrømulykken 5. April 2000</b><br />
Et godstog mister bremsene og kolliderer med et stillestående godstog på Lillestrøm, to tankvogner med propangass tar fyr, 2000 mennesker blir evakuert. </div><table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://www.regjeringen.no/Rpub/NOU/20012001/009/HFIG/f05-04.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="221" src="http://www.regjeringen.no/Rpub/NOU/20012001/009/HFIG/f05-04.jpg" width="400" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Kilde: Regjeringen.no</td></tr>
</tbody></table><div class="MsoNormal"><b> Oppgave: Lag en beskrivelse av reisen til dette toget før ulykken inntreffer </b></div><b> </b><br />
<div class="MsoNormal"><b> Eksempel på løsning av oppgaven: </b></div><div class="MsoNormal"> Undersøkelseskommisjonens beskrivelse av hastighetsdata</div><div class="MsoNormal">•Hastigheten er omtrent konstant rundt 95km/t gjennom Strømmen stasjon og ut over fallet mellom km 17,6 og 18,4.<br />
<br style="mso-special-character: line-break;" /></div><div class="MsoNormal">• Ved km 18,4 viser hastighetsrullen en forholdsvis konstant akselerasjon over ca. 15 sekunder. Etter drøyt 400 meter reduseres akselerasjonen, og etter ytterligere 100 meter begynner toget å retardere. Dette skjer ved Sagdalen blokkpost, km 18,9, hvor hastigheten har økt til 102km/t. <br />
<br style="mso-special-character: line-break;" /></div><div class="MsoNormal">•Utover fallet fra Sagdalen blokkpost og frem til kollisjonspunktet (ca. km 20,55) er det ca. 1620 meter og et fall på ca. 17‰. På denne strekningen er retardasjonen svak og relativt konstant. <br />
<br style="mso-special-character: line-break;" /></div><div class="MsoNormal">•Ved kollisjonsstedet slutter linjen på hastig- hetsrullen med en avlest hastighet på 62km/t</div><div class="MsoNormal">Kilde: NOUNorges offentlige utredninger 2001: 9 Lillestrøm-ulykken 5. april 2000 Rapport fra undersøkelseskommisjon oppnevnt av regjeringen ved kongelig resolusjon 7. januar 2000 i forbindelse med Åsta-ulykken, som 7. april 2000 fikk utvidet mandat til også å undersøke togulykken på Lillestrøm stasjon. Avgitt til Justis- og politidepartementet 30. januar 2001. </div>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-68592175774526009262011-11-07T07:23:00.002+00:002011-11-07T07:23:22.057+00:00Algebraspill<div class="grid_7"><img alt="Algebra Meltdown" class="gameContainer" src="http://images.mangahigh.com/images_301d51595e3b6670b9fb1/component/global/games/huge/algebrameltdown.jpg" /></div>Et algebraspill hvor elevene løser likninger og bruker algebraregler. Dersom du som lærer registrerer deg får de også tilgang til vanskeligere nivåer.<br />
<br />
<a href="http://www.mangahigh.com/en/games/algebrameltdown">http://www.mangahigh.com/en/games/algebrameltdown</a>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com4tag:blogger.com,1999:blog-1260658617984980147.post-81869093528606787662011-10-28T19:24:00.003+01:002011-10-28T19:25:04.129+01:00Grubleoppgave<div class="separator" style="clear: both; text-align: center;"><a href="http://i.imgur.com/qvzU4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="225" src="http://i.imgur.com/qvzU4.jpg" width="400" /></a></div>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-20536263877931124522011-09-14T08:06:00.000+01:002011-09-14T08:06:09.109+01:00Desimaltall<div class="separator" style="clear: both; text-align: center;"><a href="http://upload.wikimedia.org/wikipedia/commons/9/97/7-segments_Indicator.gif?uselang=no" imageanchor="1" style="clear: left; cssfloat: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" rba="true" src="http://upload.wikimedia.org/wikipedia/commons/9/97/7-segments_Indicator.gif?uselang=no" /></a></div>På siden <a href="http://www.decimalsquares.com/dsGames/">http://www.decimalsquares.com/dsGames/</a> finner du mange forskjellige flash-spill som alle handler om desimaltall. Kjempe fine for drilling og øving i å forstå plassverdisystemet. Fin grafikk er det også.Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-43522928950067668132011-08-29T20:17:00.000+01:002011-08-29T20:17:46.153+01:00En utfordring!<div class="separator" style="clear: both; text-align: center;"><a href="http://upload.wikimedia.org/wikipedia/commons/7/79/Brikker.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="246" src="http://upload.wikimedia.org/wikipedia/commons/7/79/Brikker.jpg" width="320" /></a></div>Sitter her å klør meg i hodet. Hvordan kan man konkretisere multiplikasjon med negative tall? Jeg kommer ikke på noe som er forståelig. Men ser at å bevise dette kan være en fin oppgave for flinkisene. Er det noen dyktige mattelærere her som kan hjelpe meg med konkretiseringsproblemet? Tenk på svake elever.Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com4tag:blogger.com,1999:blog-1260658617984980147.post-19661608856851746842011-08-15T20:25:00.002+01:002011-11-15T06:42:05.031+00:00Flervalgprøve i de fire regneartene<style>
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<div class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 18pt;"> </span></b><span style="font-size: 14pt;">Navn:…………………………..<br />
</span><b style="mso-bidi-font-weight: normal;">Viktig</b>!! Sett ring rundt riktig svar. Bruk penn. Ingen hjelpemidler. <br />
Husk å fylle ut egenevalueringen.<br />
<a name='more'></a><b style="mso-bidi-font-weight: normal;"><span style="font-size: 18pt;"></span></b></div><div class="MsoNormal"><b style="mso-bidi-font-weight: normal;">Regn ut:</b></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; mso-border-alt: solid black; mso-border-insideh-themecolor: text1; mso-border-insideh: .5pt solid black; mso-border-insidev-themecolor: text1; mso-border-insidev: .5pt solid black; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 191;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.9pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">1)<span style="font-family: "Times New Roman";"> </span>327 + 87</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>413</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>514</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>307</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>414</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>404</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">2)<span style="font-family: "Times New Roman";"> </span>5837 + 9043</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>14880</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>15880</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>15890 </div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>14960</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>Ingen</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">3)<span style="font-family: "Times New Roman";"> </span>4,95 + 299,7 + 75</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>379,65</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>280,45</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>378</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>165,75</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>369,65</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 1;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.9pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm; text-indent: 3pt;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">4)<span style="font-family: "Times New Roman";"> </span>73 + 0,65 + 8,09 + 1,3</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>83</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>56,95</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>83,04</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>83,68</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>6,5</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">5)<span style="font-family: "Times New Roman";"> </span>423-212</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>122</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>112</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>211</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>311</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>Ingen</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">6)<span style="font-family: "Times New Roman";"> </span>505-12345</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>Går ikke opp</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>1095</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>-1095</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>-5006</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>Ingen</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 2;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.9pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm; text-indent: 3pt;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">7)<span style="font-family: "Times New Roman";"> </span>84,57 - 77,46</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>71,1</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>7,11</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>162,03</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>5,65</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>55,6</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm; text-indent: 3pt;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">8)<span style="font-family: "Times New Roman";"> </span>281.05 - 98.6</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>109,4</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>380,11</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>491,19</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>379,65</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>182,45</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm; text-indent: 3pt;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">9)<span style="font-family: "Times New Roman";"> </span>234 x 4</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>238</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>936</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>916</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>826</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>585</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 3;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.9pt;" valign="top" width="142"><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">10)<span style="font-family: "Times New Roman";"> </span>2734 x 7</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>16850</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>17916</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>18027</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>19138</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>Ingen </div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">11)<span style="font-family: "Times New Roman";"> </span>324 x 24</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>9861</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>7788</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>6457</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>6766</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>7776</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm; text-indent: 3pt;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">12)<span style="font-family: "Times New Roman";"> </span>56,3 x 8,5</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>48755</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>487,55</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>478,55</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>467,55</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>47855</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 4;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.9pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">13)<span style="font-family: "Times New Roman";"> </span>647 x 82</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>12876</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>45632</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>53054</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>87543</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>48045</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm; text-indent: 3pt;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">14)<span style="font-family: "Times New Roman";"> </span>985 : 5</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>392</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>4925</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>197</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>360</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>280</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">15)<span style="font-family: "Times New Roman";"> </span>10946:4</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>2736,5</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>2726,5</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>2737,5</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>2844</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>Ingen </div><div class="MsoNormal" style="margin-bottom: 0cm; text-indent: 3pt;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 5; mso-yfti-lastrow: yes;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.9pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">16)<span style="font-family: "Times New Roman";"> </span>481 : 13</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>37</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>154</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>44</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>35</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>36</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto;"><br />
</div><div class="MsoListParagraphCxSpMiddle" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">17)<span style="font-family: "Times New Roman";"> </span>965,33 : 37</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>47,5</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>85,5</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>26,09</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>112,5</div><div class="MsoListParagraphCxSpLast" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>23,5</div><div class="MsoNormal" style="margin-bottom: 0cm; text-indent: 3pt;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm; text-indent: 3pt;"><br />
</div><div class="MsoListParagraphCxSpFirst" style="margin-bottom: 0cm; mso-add-space: auto; mso-list: l2 level1 lfo3; text-indent: -18pt;">18)<span style="font-family: "Times New Roman";"> </span>45,9 : 3</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">a.<span style="font-family: "Times New Roman";"> </span>15,3</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">b.<span style="font-family: "Times New Roman";"> </span>9,8</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">c.<span style="font-family: "Times New Roman";"> </span>153</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">d.<span style="font-family: "Times New Roman";"> </span>98</div><div class="MsoListParagraphCxSpMiddle" style="margin: 0cm 0cm 0cm 72pt; mso-add-space: auto; mso-list: l2 level2 lfo3; text-indent: -18pt;">e.<span style="font-family: "Times New Roman";"> </span>12,7</div><div class="MsoListParagraphCxSpLast" style="margin-bottom: 0cm; mso-add-space: auto;"><br />
</div></td></tr>
</tbody></table><div class="MsoNormal"><br />
</div><div class="MsoNormal" style="text-indent: 3pt;"><b style="mso-bidi-font-weight: normal;">Egenvurdering:</b></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; mso-border-alt: solid black; mso-border-insideh-themecolor: text1; mso-border-insideh: .5pt solid black; mso-border-insidev-themecolor: text1; mso-border-insidev: .5pt solid black; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 191;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;">Kan litt</div></td><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;">Kan en del</div></td><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;">Kan godt</div></td></tr>
<tr style="mso-yfti-irow: 1;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;">Multiplikasjon</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 2;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;">Subtraksjon</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 3;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;">Addisjon</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 4;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;">Divisjon</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 5; mso-yfti-lastrow: yes;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;">Gangetabellen</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
</tbody></table><div class="MsoNormal" style="text-indent: 3pt;"><br />
</div><div class="MsoNormal" style="text-indent: 3pt;"><b style="mso-bidi-font-weight: normal;">Dette er jeg usikker på og må øve mer på:</b></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; mso-border-alt: solid black; mso-border-insideh-themecolor: text1; mso-border-insideh: .5pt solid black; mso-border-insidev-themecolor: text1; mso-border-insidev: .5pt solid black; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 191;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 425.8pt;" valign="top" width="426"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
</tbody></table><div class="MsoNormal"><br />
</div><div class="MsoNormal">--------------------------------------------------------------------------------------------------------<br />
<b style="mso-bidi-font-weight: normal;">Lærers evaluering:</b></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; mso-border-alt: solid black; mso-border-insideh-themecolor: text1; mso-border-insideh: .5pt solid black; mso-border-insidev-themecolor: text1; mso-border-insidev: .5pt solid black; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 191;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;">Kan litt</div></td><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;">Kan en del</div></td><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;">Kan godt</div></td></tr>
<tr style="mso-yfti-irow: 1;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;">Multiplikasjon</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 2;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;">Subtraksjon</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 3;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;">Addisjon</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 4;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;">Divisjon</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 5; mso-yfti-lastrow: yes;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;">Gangetabellen</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 106.45pt;" valign="top" width="106"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
</tbody></table><div class="MsoNormal"><br />
<b style="mso-bidi-font-weight: normal;">Lærers kommentar:</b></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; mso-border-alt: solid black; mso-border-insideh-themecolor: text1; mso-border-insideh: .5pt solid black; mso-border-insidev-themecolor: text1; mso-border-insidev: .5pt solid black; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 191;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 425.8pt;" valign="top" width="426"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
</tbody></table><div class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><br />
Karakter:</b></div><b style="mso-bidi-font-weight: normal;"><span style="font-family: Cambria; font-size: 12pt;"><br clear="all" style="mso-special-character: line-break; page-break-before: always;" /></span></b><br />
<div class="MsoNormal"><br />
</div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; margin-left: -30.05pt; width: 496px;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 255.2pt;" valign="top" width="255"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;">Gangetabelltest</b></div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">Navn:……………………..</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">Skriv kun ned svaret, ikke oppgaven.</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">1)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">2)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">3)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">4)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">5)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">6)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">7)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">8)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">9)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">10)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">------------------------------------</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;">Antall rett:</b></div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">…………………………………………</div><div class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 10pt;">Alt rett gir 2 poeng. </span></div><div class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 10pt;">5-10 rett gir 1 poeng</span></div><div class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 10pt;">1-5 rett gir 0,5 poeng</span></div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 240.95pt;" valign="top" width="241"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;">Gangetabelltest</b></div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">Navn:……………………..</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">Skriv kun ned svaret, ikke oppgaven.</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">1)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">2)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">3)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">4)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">5)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">6)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">7)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">8)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">9)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">10)</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">------------------------------------</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;">Antall rett:</b></div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">…………………………………………</div><div class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 10pt;">Alt rett gir 2 poeng. </span></div><div class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 10pt;">5-10 rett gir 1 poeng</span></div><div class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 10pt;">1-5 rett gir 0,5 poeng</span></div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
</tbody></table><div class="MsoNormal"><br />
</div><b style="mso-bidi-font-weight: normal;"><span style="font-family: Cambria; font-size: 12pt;"><br clear="all" style="page-break-before: always;" /></span></b><br />
<div class="MsoNormal"><b style="mso-bidi-font-weight: normal;"><span style="font-size: 18pt;">For lærer:</span></b></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; mso-border-alt: solid black; mso-border-insideh-themecolor: text1; mso-border-insideh: .5pt solid black; mso-border-insidev-themecolor: text1; mso-border-insidev: .5pt solid black; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 191;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0; mso-yfti-lastrow: yes;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 212.9pt;" valign="top" width="213"><div class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;">Del 1: Oppgaver til gangetesten:</b></div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;">1 ) 5 x 3 =15</div><div class="MsoNormal" style="margin-bottom: 0cm;">2) 7x 4 = 28</div><div class="MsoNormal" style="margin-bottom: 0cm;">3) 9 x 6 = 54</div><div class="MsoNormal" style="margin-bottom: 0cm;">4) 8 x 8 = 64</div><div class="MsoNormal" style="margin-bottom: 0cm;">5) 10x 7= 70</div><div class="MsoNormal" style="margin-bottom: 0cm;">6) 3 x 4= 12</div><div class="MsoNormal" style="margin-bottom: 0cm;">7) 8 x 7= 56</div><div class="MsoNormal" style="margin-bottom: 0cm;">8) 6 x 6= 36</div><div class="MsoNormal" style="margin-bottom: 0cm;">9) 2 x 9 =18</div><div class="MsoNormal" style="margin-bottom: 0cm;">10) 7x6= 42</div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 212.9pt;" valign="top" width="213"><div class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;">Les oppgavene høyt. Elevene skal kun skrive svaret. Samle inn gangetesten før del 2 av prøven deles ut.</b></div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div><div class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 10pt;">Alt rett gir 2 poeng. </span></div><div class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 10pt;">5-10 rett gir 1 poeng</span></div><div class="MsoNormal" style="margin-bottom: 0cm;"><span style="font-size: 10pt;">1-5 rett gir 0,5 poeng</span></div><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
</tbody></table><div class="MsoNormal"><br />
</div><div class="MsoNormal"><b style="mso-bidi-font-weight: normal;">Del 2: Prøve i 4 regnearter</b></div><div class="MsoNormal">--------------------------------------------------------------------------------------------------------<b style="mso-bidi-font-weight: normal;"></b></div><div class="MsoNormal"><b style="mso-bidi-font-weight: normal;">Prøven gir totalt 20 poeng.</b></div><div class="MsoNormal"><b style="mso-bidi-font-weight: normal;">Fasit:</b></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; mso-border-alt: solid black; mso-border-insideh-themecolor: text1; mso-border-insideh: .5pt solid black; mso-border-insidev-themecolor: text1; mso-border-insidev: .5pt solid black; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 191;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.9pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">1) D 414</div></td><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">2) A 14880</div></td><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">3) A 379,65</div></td></tr>
<tr style="mso-yfti-irow: 1;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.9pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">4) C 84,04</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">5) C 211</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">6) E ingen</div></td></tr>
<tr style="mso-yfti-irow: 2;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.9pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">7) B 7,11</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">8) E 182,45</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">9) B 936</div></td></tr>
<tr style="mso-yfti-irow: 3;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.9pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">10) D 19138</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">11) E 7776</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">12) C 478,55</div></td></tr>
<tr style="mso-yfti-irow: 4;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.9pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">13) C 53054</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">14) C 197</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">15) A 2736,5</div></td></tr>
<tr style="mso-yfti-irow: 5; mso-yfti-lastrow: yes;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.9pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">16) A 37</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">17) C 26,09</div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 141.95pt;" valign="top" width="142"><div class="MsoNormal" style="margin-bottom: 0cm;">18) A 15,3</div></td></tr>
</tbody></table><div class="MsoNormal"><br />
</div><div class="MsoNormal"><b style="mso-bidi-font-weight: normal;">Karakterer:</b></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-bottom: medium none; border-collapse: collapse; border-left: medium none; border-right: medium none; border-top: medium none; mso-border-alt: solid black; mso-border-insideh-themecolor: text1; mso-border-insideh: .5pt solid black; mso-border-insidev-themecolor: text1; mso-border-insidev: .5pt solid black; mso-border-themecolor: text1; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-yfti-tbllook: 191;"><tbody>
<tr style="mso-yfti-firstrow: yes; mso-yfti-irow: 0;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 26.7pt;" valign="top" width="27"><div class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;">1</b></div></td><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 4cm;" valign="top" width="113"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 1;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 26.7pt;" valign="top" width="27"><div class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;">2</b></div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 4cm;" valign="top" width="113"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 2;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 26.7pt;" valign="top" width="27"><div class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;">3</b></div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 4cm;" valign="top" width="113"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
</div></td></tr>
<tr style="mso-yfti-irow: 3;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 26.7pt;" valign="top" width="27"><div class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;">4</b></div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 4cm;" valign="top" width="113"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
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<tr style="mso-yfti-irow: 4;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 26.7pt;" valign="top" width="27"><div class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;">5</b></div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 4cm;" valign="top" width="113"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
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<tr style="height: 3.55pt; mso-yfti-irow: 5; mso-yfti-lastrow: yes;"><td style="border-bottom: black solid; border-left: black solid; border-right: black solid; border-top: black solid; height: 3.55pt; mso-border-alt: solid black; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 26.7pt;" valign="top" width="27"><div class="MsoNormal" style="margin-bottom: 0cm;"><b style="mso-bidi-font-weight: normal;">6</b></div></td><td style="border-bottom: black solid; border-left: medium none; border-right: black solid; border-top: medium none; height: 3.55pt; mso-border-alt: solid black; mso-border-bottom-themecolor: text1; mso-border-left-alt: solid black; mso-border-left-themecolor: text1; mso-border-right-themecolor: text1; mso-border-themecolor: text1; mso-border-top-alt: solid black; mso-border-top-themecolor: text1; padding-bottom: 0cm; padding-left: 5.4pt; padding-right: 5.4pt; padding-top: 0cm; width: 4cm;" valign="top" width="113"><div class="MsoNormal" style="margin-bottom: 0cm;"><br />
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</div>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-10242669531418462082011-05-03T13:14:00.002+01:002011-05-03T19:03:57.258+01:00Koordinatsystemet- Et spill om begreper<span style="font-family: Calibri;">Egner seg best med tre spillere. Start med å klippe ut begrepene og legge dem i en haug.</span><br />
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<div class="MsoListParagraphCxSpFirst" style="margin: 0mm 0mm 0pt 36pt; text-indent: -18pt;"><span style="font-family: Calibri;">1.</span><span style="font-family: 'Times New Roman';"> </span><span style="font-family: Calibri;">En spiller trekker lapp</span></div><div class="MsoListParagraphCxSpMiddle" style="margin: 0mm 0mm 0pt 36pt; text-indent: -18pt;"><span style="font-family: Calibri;">2.</span><span style="font-family: 'Times New Roman';"> </span><span style="font-family: Calibri;">Spilleren tegner det som står på lappen, det er ikke lov å si noe (han kan se i boka om han er usikker).</span></div><div class="MsoListParagraphCxSpMiddle" style="margin: 0mm 0mm 0pt 36pt; text-indent: -18pt;"><span style="font-family: Calibri;">3.</span><span style="font-family: 'Times New Roman';"> </span><span style="font-family: Calibri;">De andre spillerne skal gjette begrepet.</span></div><div class="MsoListParagraphCxSpMiddle" style="margin: 0mm 0mm 0pt 36pt; text-indent: -18pt;"><span style="font-family: Calibri;">4.</span><span style="font-family: 'Times New Roman';"> </span><span style="font-family: Calibri;">Dersom de andre ikke klarer å gjette begrepet, kan den som tegner forklare begrepet med ord.</span></div><div class="MsoListParagraphCxSpMiddle" style="margin: 0mm 0mm 0pt 36pt; text-indent: -18pt;"><span style="font-family: Calibri;">5.</span><span style="font-family: 'Times New Roman';"> </span><span style="font-family: Calibri;">Den som klarer å gjette begrepet får lappen.</span></div><div class="MsoListParagraphCxSpMiddle" style="margin: 0mm 0mm 0pt 36pt; text-indent: -18pt;"><span style="font-family: Calibri;">6.</span><span style="font-family: 'Times New Roman';"> </span><span style="font-family: Calibri;">Hvem som tegner går på tur i retning med klokka.</span></div><div class="MsoListParagraphCxSpMiddle" style="margin: 0mm 0mm 0pt 36pt; text-indent: -18pt;"><span style="font-family: Calibri;">7.</span><span style="font-family: 'Times New Roman';"> </span><span style="font-family: Calibri;">Den som tilslutt har flest lapper har vunnet.</span></div><div class="MsoListParagraphCxSpLast" style="margin: 0mm 0mm 10pt 36pt; text-indent: -18pt;"><span style="font-family: Calibri;">8.</span><span style="font-family: 'Times New Roman';"> </span><span style="font-family: Calibri;">Spill en gang til</span><br />
<a name='more'></a></div><div class="MsoNormal" style="margin: 0mm 0mm 10pt;"><b><span style="font-size: 26pt; line-height: 115%;"><span style="font-family: Calibri;">Begreper</span></span></b></div><table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: medium none;"><tbody>
<tr style="height: 221.4pt;"><td style="background-color: transparent; border: 1pt solid black; height: 221.4pt; padding: 0mm 5.4pt; width: 154.25pt;" valign="top" width="206"><div class="MsoListParagraphCxSpFirst" style="line-height: 200%; margin: 0mm 0mm 6pt 35.7pt; text-indent: -17.85pt;"><span style="font-family: Symbol;">·<span style="font-family: 'Times New Roman';"> </span></span><span style="font-family: Calibri;">Koordinatsystemet</span></div><div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin: 0mm 0mm 6pt 35.7pt; text-indent: -17.85pt;"><span style="font-family: Symbol;">·<span style="font-family: 'Times New Roman';"> </span></span><span style="font-family: Calibri;">Andreakse</span></div><div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin: 0mm 0mm 6pt 35.7pt; text-indent: -17.85pt;"><span style="font-family: Symbol;">·<span style="font-family: 'Times New Roman';"> </span></span><span style="font-family: Calibri;">Y-akse</span></div><div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin: 0mm 0mm 6pt 35.7pt; text-indent: -17.85pt;"><span style="font-family: Symbol;">·<span style="font-family: 'Times New Roman';"> </span></span><span style="font-family: Calibri;">1. Kvadrant</span></div><div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin: 0mm 0mm 6pt 35.7pt; text-indent: -17.85pt;"><span style="font-family: Symbol;">·<span style="font-family: 'Times New Roman';"> </span></span><span style="font-family: Calibri;">2. Kvadrant</span></div><div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin: 0mm 0mm 6pt 35.7pt; text-indent: -17.85pt;"><span style="font-family: Symbol;">·<span style="font-family: 'Times New Roman';"> </span></span><span style="font-family: Calibri;">3. Kvadrant</span></div><div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin: 0mm 0mm 6pt 35.7pt; text-indent: -17.85pt;"><span style="font-family: Symbol;">·<span style="font-family: 'Times New Roman';"> </span></span><span style="font-family: Calibri;">4. Kvadrant</span></div></td><td style="background-color: transparent; border-color: black black black rgb(192, 192, 192); border-style: solid solid solid none; border-width: 1pt 1pt 1pt medium; height: 221.4pt; padding: 0mm 5.4pt; width: 50mm;" valign="top" width="189"><div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin: 0mm 0mm 6pt 35.7pt; text-indent: -17.85pt;"><span style="font-family: Symbol;">·<span style="font-family: 'Times New Roman';"> </span></span><span style="font-family: Calibri;">Origo</span></div><div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin: 0mm 0mm 6pt 35.7pt; text-indent: -17.85pt;"><span style="font-family: Symbol;">·<span style="font-family: 'Times New Roman';"> </span></span><span style="font-family: Calibri;">Førsteakse</span></div><div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin: 0mm 0mm 6pt 35.7pt; text-indent: -17.85pt;"><span style="font-family: Symbol;">·<span style="font-family: 'Times New Roman';"> </span></span><span style="font-family: Calibri;">X-akse</span></div><div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin: 0mm 0mm 6pt 35.7pt; text-indent: -17.85pt;"><span style="font-family: Symbol;">·<span style="font-family: 'Times New Roman';"> </span></span><span style="font-family: Calibri;">Førstekoordinat</span></div><div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin: 0mm 0mm 6pt 35.7pt; text-indent: -17.85pt;"><span style="font-family: Symbol;">·<span style="font-family: 'Times New Roman';"> </span></span><span style="font-family: Calibri;"> Andrekoordinat</span></div><div class="MsoListParagraphCxSpMiddle" style="line-height: 200%; margin: 0mm 0mm 6pt 35.7pt; text-indent: -17.85pt;"><span style="font-family: Symbol;">·<span style="font-family: 'Times New Roman';"> </span></span><span style="font-family: Calibri;">X-koordinat</span></div><div class="MsoListParagraphCxSpLast" style="line-height: 200%; margin: 0mm 0mm 6pt 35.7pt; text-indent: -17.85pt;"><span style="font-family: Symbol;">·<span style="font-family: 'Times New Roman';"> </span></span><span style="font-family: Calibri;">Y-koordinat</span></div></td></tr>
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</div>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-36495130433103658662011-04-11T18:47:00.002+01:002011-04-11T18:53:47.028+01:00En kommentar til den lille gangetabellen<iframe allowfullscreen="" frameborder="0" height="390" src="http://www.youtube.com/embed/liPHRjsWKag" title="YouTube video player" width="480"></iframe><br />
I et forsøk på å muntre opp elevene viste jeg denne klassikeren. Enten er den for gammel eller de for unge, for den eneste som lo var meg. Noe moro må vi også ha:) Harald Eia og Bård Tufte er kostelige i denne sketsjen.<script src="http://connect.facebook.net/en_US/all.js#xfbml=1">
</script><fb:like font="" href="http://matematikkbloggen.blogspot.com/2011/04/en-kommentar-til-den-lille.html" show_faces="true" width="450"></fb:like>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-42895512508470578632011-04-11T09:57:00.000+01:002011-04-11T09:57:31.445+01:00Kjennetegn for måloppnåelse til likningerDet finnes så mye bra på skolenettet. I November i fjor ble Udir.no og skolenettet.no slått sammen. Det er en side publisert av utdanningsdirektoratet hvor det bla finnes en stor kilde til undervisningsopplegg som er ment som veiledning til læreplan. <br />
<strong>Her er et eks på kjennetegn til måloppnåelse for likninger:</strong><br />
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<tr><td height="9" valign="top" width="33%"><b><span style="font-size: small;"><div align="left">Lav måloppnåelse </div></span></b></td><td height="9" valign="top" width="33%"><b><span style="font-size: small;"><div align="left">Middels måloppnåelse </div></span></b></td><td height="9" valign="top" width="33%"><b><span style="font-size: small;"><div align="left">Høy måloppnåelse </div></span></b></td></tr>
<tr><td height="263" valign="top" width="33%"><span style="font-family: Verdana,Verdana; font-size: small;"><span style="font-family: Verdana,Verdana; font-size: small;"><div align="left">Eleven kan finne løsning til likninger av typen: </div><div align="center">3x+11=27 </div><div align="center"><br />
</div><div align="left">Eleven kan avgjøre ved innsetting om et tall er løsning av en likning av typen: </div><div align="center">3x+11=7-2x </div><div align="center"><br />
</div><div align="left">Eleven kan avgjøre om en likning løser uoppsatte oppgaver av typene H, I,J, og kan forklare forskjellen på en likning og et utrykk. </div></span></span></td><td height="263" valign="top" width="33%"><span style="font-family: Verdana,Verdana; font-size: small;"><span style="font-family: Verdana,Verdana; font-size: small;"><div align="left">Eleven kan finne løsning av likninger av typen: </div><div align="center">3x+11=7-2x </div><div align="center"><br />
</div><div align="left">Eleven kan finne en likning som løser en oppgave av typene H,I,J. </div><div align="left"><br />
</div><div align="left">Eleven kan avgjøre ved innsetting om et tall er løsning av en likning av typen </div></span></span><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><div align="center">3(</div><div align="center"></div></span></span><i><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><span style="font-family: Times New Roman,Times New Roman; font-size: small;">x</span></span><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><span style="font-family: Times New Roman,Times New Roman; font-size: small;">5)/4+6=2</span></span><i><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><span style="font-family: Times New Roman,Times New Roman; font-size: small;">x</span></span><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><span style="font-family: Times New Roman,Times New Roman; font-size: small;">34 </span></span><span style="font-family: Verdana,Verdana; font-size: small;"><span style="font-family: Verdana,Verdana; font-size: small;"><div align="left">Eleven kan avgjøre hvordan en finner løsningen til en likning med grafen til denne. </div><div align="left"><br />
</div><div align="left">Eleven kan forklare hva en løsning i en likning er. </div></span></span></i>−</i>+</td><td height="263" valign="top" width="33%"><span style="font-family: Verdana,Verdana; font-size: small;"><span style="font-family: Verdana,Verdana; font-size: small;"><div align="left">Eleven kan finne løsning av en likning av typen </div></span></span><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><div align="center">3(</div><div align="center"><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><span style="font-family: Times New Roman,Times New Roman; font-size: small;"> </span></span><span style="font-family: Verdana,Verdana; font-size: small;"><span style="font-family: Verdana,Verdana; font-size: small;"><div align="left">Eleven kan finne en likning som løser en uoppstilt oppgave av høyere vanskelighetsgrad enn H,I,J </div><div align="left"><br />
</div><div align="left">Eleven kan løse likninger grafisk. </div><div align="left"><br />
</div><div align="left">Eleven kan formulere en strategi for å løse en lineær likning. </div></span></span></div><div align="center"></div></span></span><i><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><span style="font-family: Times New Roman,Times New Roman; font-size: small;">x</span></span><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><span style="font-family: Times New Roman,Times New Roman; font-size: small;">5)/4+6=2</span></span><i><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><span style="font-family: Times New Roman,Times New Roman; font-size: small;">x</span></span><span style="font-family: Times New Roman,Times New Roman; font-size: small;"><span style="font-family: Times New Roman,Times New Roman; font-size: small;">3/4 </span></span></i>−</i>+</td></tr>
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Kilde: <a href="http://skolenettet.no/nyupload/Veiledninger/Matematikk/Undervisningsopplegg/likninger_uo.pdf">http://skolenettet.no/nyupload/Veiledninger/Matematikk/Undervisningsopplegg/likninger_uo.pdf</a>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com1tag:blogger.com,1999:blog-1260658617984980147.post-61136479085345258232011-04-10T10:09:00.002+01:002011-04-10T10:36:03.359+01:00Tja, kanskje en metode for å skape engasjement?<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7i-jhPN8oiC2lrWif_zPj3LbcUhMuR6gwguhs2t6MSQ7MbYm0SX4VJ6ShmypqMTtjHu2i1aWrZ2_4xtEPZfspP_iWlG1DcQYerB5NCWkO04oCz6jsw88gqaRA7hFAoHG7id6DtiCrrT4/s1600/proof-girls-evil.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7i-jhPN8oiC2lrWif_zPj3LbcUhMuR6gwguhs2t6MSQ7MbYm0SX4VJ6ShmypqMTtjHu2i1aWrZ2_4xtEPZfspP_iWlG1DcQYerB5NCWkO04oCz6jsw88gqaRA7hFAoHG7id6DtiCrrT4/s400/proof-girls-evil.jpg" width="362" /></a></div>Uansett hva jeg skriver nå så blir det nok feil;)<br />
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</script><fb:like font="" href="http://matematikkbloggen.blogspot.com/2011/04/tja-kanskje-en-metode-for-skape.html" show_faces="true" width="450"></fb:like>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com2tag:blogger.com,1999:blog-1260658617984980147.post-80196368227291709162011-03-27T12:52:00.003+01:002011-04-03T14:17:16.862+01:00Arealet til et parallelogram<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizveD9S7xuug9VSIE8uYtmQY5JLMYfTp6YfkER029Uf-G3uo0tj_vwWycqK29-HjL9oEsceb0_dVdg9Imc5P1VHJC-pE23RHezd2GeAHWGO0M3lJnDVp0AoaEEMZnVZ7SKv19NXRJM8OM/s1600/pic-demoparallelogram2.gif" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="252" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizveD9S7xuug9VSIE8uYtmQY5JLMYfTp6YfkER029Uf-G3uo0tj_vwWycqK29-HjL9oEsceb0_dVdg9Imc5P1VHJC-pE23RHezd2GeAHWGO0M3lJnDVp0AoaEEMZnVZ7SKv19NXRJM8OM/s320/pic-demoparallelogram2.gif" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">http://www.mathguide.com/lessons/Area.html</td></tr>
</tbody></table>La elevene bevise at formelen for arealet til et parallelogram er g*h. Del ut saks og papir og be elevene om å finne formelen selv. Når formelen sitter kan de øve seg på<a href="http://www.mathguide.com/cgi-bin/quizmasters/AreaPara.cgi"> parallelogram quiz</a>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-80398282044576022042011-03-15T08:24:00.000+00:002011-03-15T08:24:22.238+00:00Man må kunne gjøre om mellom enheter på hyttetur<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjur6P4tESNxKLohcOzxWdvrY3EGR455Tew0qqXbqPK0Chz5lsGDlO1bnoTWJO5Eb-F9pZX3MfqQmRL61165LnC-pI20dYkfYgt-KUHUCgN4xzNq7B0sW1U7lHjaHiIxTQ0EJEBif_Fcg/s1600/800px-Flickr_-_cyclonebill_-_Boller.jpg" imageanchor="1" style="clear: right; cssfloat: right; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" height="150" q6="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgjur6P4tESNxKLohcOzxWdvrY3EGR455Tew0qqXbqPK0Chz5lsGDlO1bnoTWJO5Eb-F9pZX3MfqQmRL61165LnC-pI20dYkfYgt-KUHUCgN4xzNq7B0sW1U7lHjaHiIxTQ0EJEBif_Fcg/s200/800px-Flickr_-_cyclonebill_-_Boller.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Photo by: <a class="external text" href="http://www.flickr.com/people/23178876@N03" rel="nofollow">cyclonebill</a></td></tr>
</tbody></table><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">Tenk deg at du er på ferie på en hytte. Etter en lang skitur får dere fryktelig lyst på boller. I et gammelt ukeblad finner du denne oppskriften. Etter å ha lett på kjøkkenet finner du nesten alt du trenger. Det finnes ikke vekt som måler gram eller et desilitermål. Heldigvis finner du en kilovekt og et litermål. Regn om gram og desiliter i oppskriften slik at du får rett mengde i deigen.</div><a name='more'></a><br />
<div class="ingrediensheader" style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><strong>Ingredienser</strong></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">9 dl melk<br />
200 gr. melis<br />
150 gr. smør<br />
2 pk. gjær<br />
2 egg<br />
1500 g hvetemel </div> <br />
<div class="tilbredningheader"><strong>Tilberedning</strong></div>Melk, melis og smør gis et oppkok og avkjøles. Bland sammen alt det andre med melkeblandingen. Trill ut bollene (deigen skal IKKE heves først) og legg dem på brett. Dekk bollene med plastfolie og la dem heve på brettet i ca 2 timer.<br />
Stekes ved 250 grader i ca 10 min.<br />
Husker ikke helt hvor mange boller det blir utav dette, men du kan jo doble oppskriften. Et veldig godt tips på opptining av boller som jeg fikk av min mor er å legge frosne boller på ett brett i stekeovnen, sette ovnen på 150 grader. Når ovnen er 150 grader er bollene ferdig tinte og akkurat som nylaget.Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-77050964561199451232011-03-04T19:45:00.000+00:002011-03-04T19:45:20.977+00:00Aktivitet om massetetthet<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqEGNCOhztc1t9bXFXr4FZnZ5osmRXJ897fbuT24Fdmr20m0MdB9RrE7P4iChWtkWhMCJkgfgEnIOwfEaN0uLryDOo-Kt80orxDO0yOCi9VSIgHN9GTJtMtJStEsrbCgXMhKbk2hm9p7U/s1600/WP_Barnstar_Density.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgqEGNCOhztc1t9bXFXr4FZnZ5osmRXJ897fbuT24Fdmr20m0MdB9RrE7P4iChWtkWhMCJkgfgEnIOwfEaN0uLryDOo-Kt80orxDO0yOCi9VSIgHN9GTJtMtJStEsrbCgXMhKbk2hm9p7U/s200/WP_Barnstar_Density.jpg" width="191" /></a></div>I dag har jeg skrevet en artikkel på naturfagsbloggen om aktiviteter til å skape forståelse og jobbe med massetetthet.<a href="http://naturfagsbloggen.blogspot.com/2011/03/aktiviteter-om-massetetthet.html"> http://naturfagsbloggen.blogspot.com/2011/03/aktiviteter-om-massetetthet.html</a>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-37709518349614960232011-02-20T19:18:00.004+00:002011-02-20T19:23:44.782+00:00Sannsynligheten for å vinne i lotto?<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6W6ZEiR4yOEvMq85v8t0iLZnroFdNBG06wz58qAi938BgSjs4gKEs2E3sRWv3-aPE7F1-ZIwvhOwtF1RTzFJ2nhoq7v7OeI-GckEiiuUHOiJ5733Vxj1gSYrnkRXM2_wGyvUFMCE_b8k/s1600/126px-Lotto_icon-2.svg.png" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="161" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6W6ZEiR4yOEvMq85v8t0iLZnroFdNBG06wz58qAi938BgSjs4gKEs2E3sRWv3-aPE7F1-ZIwvhOwtF1RTzFJ2nhoq7v7OeI-GckEiiuUHOiJ5733Vxj1gSYrnkRXM2_wGyvUFMCE_b8k/s200/126px-Lotto_icon-2.svg.png" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">By: <a href="http://commons.wikimedia.org/wiki/User:Pmox" title="User:Pmox">Pmox</a></td></tr>
</tbody></table>En klassiker er å la elevene regne ut sannsynligheten for å vinne 1. premien i lotto. Den er jo forsvinnende liten og når de finner svaret ler de av foreldrene sine.<br />
<br />
<i>Det er… 2,7 ganger større sjanse for at noen dør pga en flyulykke på din neste flyreise,5,3 ganger større sjanse å overleve om man blir truffet av en meteor, 53 ganger større sjanse å ikke våkne fra narkose, 233 ganger større sjanse å bli truffet av lynet,691 ganger større sjanse å få Maxi Yatzy i et kast,90 079 ganger større sjanse å få tvillinger ved neste graviditet,2 689 808 ganger større sjanse å overleve en flystyrt,… enn å tippe 1 rekke i Lotto og få 7 rette.</i><br />
<i>( Kilde: http://10min.no/penger/hva-er-sjansen-for-a-vinne-i-lotto)<a name='more'></a></i><br />
<br />
Norsk nettskole har lagt ut et lite og digitalt undervisningsopplegg om problemstillingen. Verdt å ta en titt.<a href="http://www.norsknettskole.no/etterutdanning/matematikk/sannsyn/lot6.htm"> http://www.norsknettskole.no/etterutdanning/matematikk/sannsyn/lot6.htm</a><br />
<br />
<br />
<iframe src="http://www.facebook.com/plugins/like.php?href=http%3A%2F%2Fmatematikkbloggen.blogspot.com%2F2011%2F02%2Fsannsynligheten-for-vinne-i-lotto.html&layout=standard&show_faces=true&width=450&action=like&colorscheme=light&height=80" scrolling="no" frameborder="0" style="border:none; overflow:hidden; width:450px; height:80px;" allowTransparency="true"></iframe>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-53328514648362807112011-02-15T19:14:00.001+00:002011-02-15T19:16:22.607+00:00Teoretisk exceltest<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjK96bHbfrUwcX6GBNL7mPn3EitYZyni9JsQ-1EDzUxuWkxmmXDxIPDnCAVhsKNk8OT-ODhN-N_r5l4dqMbD0cumcZAoWB8WqbUAy2Gelkt4kfu3MZtJtyHd-Kf7-0YQuct6XQvGS1sPKE/s1600/excelbilde2.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" height="195" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjK96bHbfrUwcX6GBNL7mPn3EitYZyni9JsQ-1EDzUxuWkxmmXDxIPDnCAVhsKNk8OT-ODhN-N_r5l4dqMbD0cumcZAoWB8WqbUAy2Gelkt4kfu3MZtJtyHd-Kf7-0YQuct6XQvGS1sPKE/s200/excelbilde2.jpg" width="200" /></a></div>Mangler datamaskiner igjen! Jeg vet ikke hvordan situasjonen er hos deg, men hos oss er det stadig opptatt eller maskiner som ikke virker. Underveis i arbeidet med excel i denne perioden har elevene hatt flere innleveringer, men nå på slutten har jeg lyst å vite noe om hva de kan av grunnleggende ferdigheter og evne til å kommunisere dette. Jeg har ikke lyst å bruke mye tid på å bytte til meg tid på data og eviglange innlogginger i timen. Derfor har jeg laget en kort teoretisk test som er et supplement til innleveringene som de har gjort.<br />
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<div class="MsoNormal"><b>Teoretisk test med regneark og evne til å kommunisere matematikk </b></div><div class="MsoListParagraphCxSpFirst" style="text-indent: -18pt;">1)<span style="font: 7pt "Times New Roman";"> </span>Nevn et dataprogram som egner seg til statistikk</div><div class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt;">2)<span style="font: 7pt "Times New Roman";"> </span>Hvilket diagram vil du bruke for å uttrykke denne frekvenstabellen.</div><div class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt;">3)<span style="font: 7pt "Times New Roman";"> </span> Hvorfor vil du bruke denne diagramtypen?</div><div class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt;">4)<span style="font: 7pt "Times New Roman";"> </span>Forklar hvordan du ville lage diagram i dette regnearket</div><div class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt;">5)<span style="font: 7pt "Times New Roman";"> </span>Hvilke taster må du bruke for å vise hvilke formler du har brukt?</div><div class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt;">6)<span style="font: 7pt "Times New Roman";"> </span>Hvordan får du en pen utskrift der alt får plass på en side?</div><div class="MsoListParagraphCxSpMiddle" style="text-indent: -18pt;">7)<span style="font: 7pt "Times New Roman";"> </span>Forklar hvordan koden du ville brukt hadde sett ut dersom du skulle finne gjennomsnittstemperaturen denne dagen.</div><div class="MsoListParagraphCxSpLast" style="text-indent: -18pt;">8)<span style="font: 7pt "Times New Roman";"> </span>Hvordan kan man på en rask måte summere tall i en kolonne? (vis tegnet i svaret)<br />
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</div><iframe allowtransparency="true" frameborder="0" scrolling="no" src="http://www.facebook.com/plugins/like.php?href=http%3A%2F%2Fmatematikkbloggen.blogspot.com%2F2011%2F02%2Fteoretisk-exceltest.html&layout=standard&show_faces=true&width=200&action=like&colorscheme=light&height=80" style="border: medium none; height: 80px; overflow: hidden; width: 200px;"></iframe>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-87843650981972417132011-02-01T12:03:00.001+00:002011-02-01T12:05:49.468+00:00Vinkelsum i en mangekant<div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEidPmlQ6fQHVogvUuG7Wu8z5P0-B-eKpBA8ZUBCMnpufCMJINGTW0saCLUqVYLw-CXVhYwZa2l0ewk_4-yTzX9rN6vcUN9VKPxF9kwq8Y6TFR9Hbw63iBSfqohyphenhyphenXnDDYpwfx2coF-NvHbw/s1600/Blue_star_on_deep_red%255B1%255D.gif" imageanchor="1" style="clear: left; cssfloat: left; cssfloat: right; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" s5="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEidPmlQ6fQHVogvUuG7Wu8z5P0-B-eKpBA8ZUBCMnpufCMJINGTW0saCLUqVYLw-CXVhYwZa2l0ewk_4-yTzX9rN6vcUN9VKPxF9kwq8Y6TFR9Hbw63iBSfqohyphenhyphenXnDDYpwfx2coF-NvHbw/s1600/Blue_star_on_deep_red%255B1%255D.gif" /></a>Fasinerende fakta: <span style="color: black;">"Vinkelsummen i en x-kant er like stor som vinkelssummen i antall trekanter inne i figuren.<br />
Det er ALLTID to mindre antall trekanter enn det er hjørner i mangekantene.<br />
I en 7-kant er det 5 trekanter.<br />
Antall grader er da 180 grader * 5 = 900 grader.<br />
I en 20-kant er det 18 trekanter, o.s.v.<br />
FORMEL: 180* (x-2) når x er antall kanter."</span></div><span style="color: red;"><span style="color: black;">Kilde</span>:<a href="http://matematikk.norsknettskole.no/geometri/f2vinkler.html">http://matematikk.norsknettskole.no/geometri/f2vinkler.html</a></span>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com8tag:blogger.com,1999:blog-1260658617984980147.post-36914665492970569062011-01-26T08:21:00.001+00:002011-01-28T16:22:10.112+00:00Utrolig lærerikt spill om sentraltendenser<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhpHwHhyphenhyphen9v4plTSXgqsF9GIILIHmMbwEZVq4CMOf286AE9gYGL8uW1UUJ5wpETAQLZgYFMweR3HlXPb67kzyDQDY0VFmI9DDP-4MsvGAhSM0V52HWQp_87ZvRmrmag8FR5AKnY0ktto8zk/s1600/statistikk+tabell.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="142" s5="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhpHwHhyphenhyphen9v4plTSXgqsF9GIILIHmMbwEZVq4CMOf286AE9gYGL8uW1UUJ5wpETAQLZgYFMweR3HlXPb67kzyDQDY0VFmI9DDP-4MsvGAhSM0V52HWQp_87ZvRmrmag8FR5AKnY0ktto8zk/s320/statistikk+tabell.jpg" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Photo by: <a class="mw-userlink" href="http://commons.wikimedia.org/wiki/User:Stilfehler" title="User:Stilfehler">Stilfehler</a> </td></tr>
</tbody></table> I dette spillet om sentraltendenser får elevene god mengdetrening i å regne med gjennomsnitt, median, variasjonsbredde og typetall. Jeg fant spillet først på matematikksenteret sine hjemmesider i et ressurshefte der. Desverre finner jeg ikke tilbake så jeg har rekonstruert spillet slik jeg husker det. <br />
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</div><div class="MsoNormal" style="margin: 0mm 0mm 10pt;"><b><span style="font-family: Calibri;">Regler: </span></b></div><div class="MsoListParagraphCxSpFirst" style="margin: 0mm 0mm 0pt 36pt; text-indent: -18pt;"><span style="font-family: Calibri;">1)</span><span style="font: 7pt 'Times New Roman';"> </span><span style="font-family: Calibri;">Alle deltagerne lager 10 lapper med tallene fra en til ti og legger i en felles skål. Kortstokk kan brukes.</span></div><div class="MsoListParagraphCxSpMiddle" style="margin: 0mm 0mm 0pt 36pt; text-indent: -18pt;"><span style="font-family: Calibri;">2)</span><span style="font: 7pt 'Times New Roman';"> </span><span style="font-family: Calibri;">Første deltager trekker fem lapper og regner ut gjennomsnitt, variasjonsbredde, median og typetall. </span></div><div class="MsoListParagraphCxSpMiddle" style="margin: 0mm 0mm 0pt 36pt; text-indent: -18pt;"><span style="font-family: Calibri;">3)</span><span style="font: 7pt 'Times New Roman';"> </span><span style="font-family: Calibri;">Han legger en brikke på brettet som passer med utregningene.</span></div><div class="MsoListParagraphCxSpMiddle" style="margin: 0mm 0mm 0pt 36pt; text-indent: -18pt;"><span style="font-family: Calibri;">4)</span><span style="font: 7pt 'Times New Roman';"> </span><span style="font-family: Calibri;">Turen går deretter til eleven til høyre.</span></div><div class="MsoListParagraphCxSpLast" style="margin: 0mm 0mm 10pt 36pt; text-indent: -18pt;"><span style="font-family: Calibri;">5)</span><span style="font: 7pt 'Times New Roman';"> </span><span style="font-family: Calibri;">Første elev som fyller et markert felt i hver kolonnene har vunnet.</span></div> <br />
<table align="left" border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: medium none; margin: auto 4.8pt;"><tbody>
<tr><td style="background-color: transparent; border: 1pt solid black; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">Gjennomsnitt</span></div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">(Rund av til nærmeste tall)</span></div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div></td><td style="background-color: transparent; border-color: black black black rgb(192, 192, 192); border-style: solid solid solid none; border-width: 1pt 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">Variasjonsbredde</span></div></td><td style="background-color: transparent; border-color: black black black rgb(192, 192, 192); border-style: solid solid solid none; border-width: 1pt 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">Median</span></div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">(Rund av til nærmeste tall)</span></div></td><td style="background-color: transparent; border-color: black black black rgb(192, 192, 192); border-style: solid solid solid none; border-width: 1pt 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">Typetall</span></div></td></tr>
<tr><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">1</span></div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">1</span></div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">1</span></div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">1</span></div></td></tr>
<tr><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">2</span></div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">2</span></div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">2</span></div></td><td style="background: none repeat scroll 0% 0% yellow; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">2</span></div></td></tr>
<tr><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">3</span></div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">3</span></div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">3</span></div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">3</span></div></td></tr>
<tr><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">4</span></div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div></td><td style="background: none repeat scroll 0% 0% yellow; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">4</span></div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">4</span></div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">4</span></div></td></tr>
<tr><td style="background: none repeat scroll 0% 0% yellow; border-color: rgb(192, 192, 192) black black; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">5</span></div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">5</span></div></td><td style="background: none repeat scroll 0% 0% yellow; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">5</span></div></td><td style="background: none repeat scroll 0% 0% yellow; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">5</span></div></td></tr>
<tr><td style="background: none repeat scroll 0% 0% yellow; border-color: rgb(192, 192, 192) black black; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">6</span></div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">6</span></div></td><td style="background: none repeat scroll 0% 0% yellow; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">6</span></div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">6</span></div></td></tr>
<tr><td style="background: none repeat scroll 0% 0% yellow; border-color: rgb(192, 192, 192) black black; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">7</span></div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">7</span></div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">7</span></div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">7</span></div></td></tr>
<tr><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">8</span></div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div></td><td style="background: none repeat scroll 0% 0% yellow; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">8</span></div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">8</span></div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">8</span></div></td></tr>
<tr><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">9</span></div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">9</span></div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">9</span></div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">9</span></div></td></tr>
<tr><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">10</span></div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><br />
</div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">10</span></div></td><td style="background-color: transparent; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">10</span></div></td><td style="background: none repeat scroll 0% 0% yellow; border-color: rgb(192, 192, 192) black black rgb(192, 192, 192); border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0mm 5.4pt; width: 115.15pt;" valign="top" width="154"><div class="MsoNormal" style="line-height: normal; margin: 0mm 0mm 0pt;"><span style="font-family: Calibri;">10</span></div></td></tr>
</tbody></table>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-13091057585969114722011-01-25T17:44:00.001+00:002011-01-25T17:46:09.920+00:00Trolleri med tall- introduksjon til algebra<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: right; margin-left: 1em; text-align: right;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmHXD9D7LarBoLU91pqU0bgn5lO4swT8mUmnktcqt1ceQOdESoZu52AmuaE5pLs2vdp8iF41pzEktibou_rOWWFd9zNdF3ETg31mP3vMGBS1GlPtY4cbFXD6Ih2K_X0q6EkpcW4qFkk-M/s1600/l%25C3%25B8sningsforslag1.jpg" imageanchor="1" style="clear: right; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmHXD9D7LarBoLU91pqU0bgn5lO4swT8mUmnktcqt1ceQOdESoZu52AmuaE5pLs2vdp8iF41pzEktibou_rOWWFd9zNdF3ETg31mP3vMGBS1GlPtY4cbFXD6Ih2K_X0q6EkpcW4qFkk-M/s200/l%25C3%25B8sningsforslag1.jpg" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Bildet hentet fra PDF på denne siden<br />
http://www.matematikksenteret.no/content.ap?thisId=772</td></tr>
</tbody></table>Dette undervisningopplegget ser utrolig lærerikt ut. Har funnet det <a href="http://www.matematikksenteret.no/content.ap?thisId=772">på matematikksenteret.no.</a><br />
Gleder meg til å bruke det. Her tror jeg elevene kan oppdage noen sammenhenger.<br />
<br />
<b>Trolleri med tall <br />
(Fra Karin Kairavuo, Mattelandet, Finland) </b><br />
<br />
<a name='more'></a>Lærer instruerer og elevene gjør det hun/han sier: <br />
<br />
1. Tenk på et tall. Hvilket som helst. <br />
2. Legg til 3 <br />
3. Multipliser med 2 <br />
4. Trekk fra tallet du tenkte på <br />
5. Legg til 4 <br />
6. Trekk fra tallet du tenkte på <br />
<br />
Snu deg til sidemannen og fortelle hvilket svar du fikk. <br />
<br />
<br />
<br />
Alle elvene vil si 10 i munnen på hverandre. <br />
Lærer spør om elevene tror det fungerer med alle tall. <br />
Var det noen som prøvde et tall større enn 100? Prøv å se om det går! <br />
Var det noen som prøvde et negativt tall? Prøv å se om det går! <br />
Var det noen som prøvde et desimaltall? Prøv å se om det går! <br />
Var det noen som prøvde en brøk? Prøv å se om det går! <br />
<br />
Nå skal elevene få i oppdrag å bevise at det alltid blir 10, og prøve å se hva som skjer <br />
underveis i prosessen. <br />
Del ut sjetonger (som skal symbolisere det tallet de tenkte på) og enhetskuber eller <br />
enhetspinner. <br />
Oppdrag: Gjennomfør algoritmen med det konkrete utstyret og beskriv hva som skjer. <br />
Dokumenter det i matematikkbøkene deres. <br />
Utfordring: <br />
Når elevene har løst det skal de lage liknende trolleri med tall til hverandre. <br />
<br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmHXD9D7LarBoLU91pqU0bgn5lO4swT8mUmnktcqt1ceQOdESoZu52AmuaE5pLs2vdp8iF41pzEktibou_rOWWFd9zNdF3ETg31mP3vMGBS1GlPtY4cbFXD6Ih2K_X0q6EkpcW4qFkk-M/s1600/l%25C3%25B8sningsforslag1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgmHXD9D7LarBoLU91pqU0bgn5lO4swT8mUmnktcqt1ceQOdESoZu52AmuaE5pLs2vdp8iF41pzEktibou_rOWWFd9zNdF3ETg31mP3vMGBS1GlPtY4cbFXD6Ih2K_X0q6EkpcW4qFkk-M/s320/l%25C3%25B8sningsforslag1.jpg" width="320" /></a></div><br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEm5GRqz-VNvSqtQW9uatrYoTN9CSVPoC6Ug_RIgIhCiniUq6Y_noAtPKIjcyo8izKB0yoakBmR5zO26ASzXZZl31MqoO4sEVpzJ2oJ6Oo71CfFdauxLm9h9Ur8F71aW2uajsesaKJZ-E/s1600/l%25C3%25B8sningsforslag2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEm5GRqz-VNvSqtQW9uatrYoTN9CSVPoC6Ug_RIgIhCiniUq6Y_noAtPKIjcyo8izKB0yoakBmR5zO26ASzXZZl31MqoO4sEVpzJ2oJ6Oo71CfFdauxLm9h9Ur8F71aW2uajsesaKJZ-E/s640/l%25C3%25B8sningsforslag2.jpg" width="372" /></a></div>Opplegget og disse bildene er hentet fra matematikksenteret sin hjemmeside: <a href="http://www.matematikksenteret.no/content.ap?thisId=772">http://www.matematikksenteret.no/content.ap?thisId=772</a>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0tag:blogger.com,1999:blog-1260658617984980147.post-22147494560227481932011-01-18T07:51:00.001+00:002011-01-18T07:54:00.178+00:00Lekseprøve prosent<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; margin-right: 1em; text-align: left;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgdGiUTEtCTU8NkYvMSiyGeE0koFbxooxZmAL_vzGVTK7ZqLCnzCF2_v9hX2ajg7EDXqjYa5e_eH7xpYzovagioAvedgEhWfilKmY8wxgiar2V0BC_TFrtN7SIaPrb29pP58zLriKkuj3E/s1600/Hot_Sauce-Pain_100_percent.jpg" imageanchor="1" style="clear: left; cssfloat: left; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" height="200" n4="true" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgdGiUTEtCTU8NkYvMSiyGeE0koFbxooxZmAL_vzGVTK7ZqLCnzCF2_v9hX2ajg7EDXqjYa5e_eH7xpYzovagioAvedgEhWfilKmY8wxgiar2V0BC_TFrtN7SIaPrb29pP58zLriKkuj3E/s200/Hot_Sauce-Pain_100_percent.jpg" width="150" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Photo by: Tim '<a href="http://commons.wikimedia.org/wiki/User:Avatar" title="User:Avatar">Avatar</a>' Bartel</td></tr>
</tbody></table><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">Her er en liten lekseprøve for å kontrollere at alle elevene kan basic prosentregning. Det er enkle oppgaver som alle bør kunne. Disse går fort å regne for elevene og raskt og rette.<br />
<br />
<strong>Lekseprøve i prosentregning</strong></div><div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;">1) Skriv formelen for å finne ”delen”<br />
2) Skriv formelen for å finne ”prosenten”<br />
3) Finn ”delen”: 30% av 240<br />
4) Et par basketsko kostet 300 kr. Under salget ble de satt ned 25 %. Hvor mange kroner ble de satt ned? <br />
5) En genser som hadde kostet 650 kr, ble solgt for 450 kr. Hvor mange prosent var avslaget?</div>Jossiehttp://www.blogger.com/profile/04370018000877522242noreply@blogger.com0