<span style="font-size: 24pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Matematik 2a
<h2 dir="ltr" style="line-height: 1.38; background-color: #ffffff; margin-top: 0pt; margin-bottom: 0pt; padding: 22pt 0pt 9pt 0pt;"><span style="font-size: 13pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">&Auml;mnets syfte</h2>
<img style="float: right;" src="https://start.unikum.net/unikum/planering/image.ajax?id=6823486994&amp;lppId=6823404900" width="256" height="192" />
<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Undervisningen i &auml;mnet matematik ska syfta till att eleverna utvecklar f&ouml;rm&aring;ga att arbeta
<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> matematiskt.&nbsp;
<ul style="margin-top: 0; margin-bottom: 0; padding-inline-start: 48px;">
<li dir="ltr" style="list-style-type: disc; font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;" aria-level="1">
<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">utveckla f&ouml;rst&aring;else
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<li dir="ltr" style="list-style-type: disc; font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;" aria-level="1">
<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">utveckla olika strategier
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<li dir="ltr" style="list-style-type: disc; font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;" aria-level="1">
<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">utvecklar f&ouml;rm&aring;ga
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<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Undervisningen ska inneh&aring;lla <span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #fff2cc; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">varierade <span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">arbetsformer och arbetss&auml;tt, d&auml;r unders&ouml;kande aktiviteter utg&ouml;r en del.
<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">N&auml;r s&aring; &auml;r l&auml;mpligt ska undervisningen ske i relevant <span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #fff2cc; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">praxisn&auml;ra milj&ouml;<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> och med verktyg som anv&auml;nds inom karakt&auml;rs&auml;mnena.
<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Undervisningen ska ge eleverna m&ouml;jlighet att kommunicera med olika <span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #fff2cc; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">uttrycksformer<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">. Vidare ska den ge ele
<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">verna <span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #fff2cc; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">utmaningar <span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">samt erfarenhet av matematikens logik, generaliserbarhet, kreativa kvaliteter och m&aring;ngfacetterade karakt&auml;r. Undervisningen ska <span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #fff2cc; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">st&auml;rka <span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">elevernas <span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #fff2cc; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">tilltro <span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">till sin f&ouml;rm&aring;ga att anv&auml;nda matematik i olika sammanhang samt ge utrymme &aring;t probleml&ouml;sning som b&aring;de m&aring;l och medel. I undervisningen ska eleverna dessutom ges m&ouml;jlighet att <span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #fff2cc; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">utveckla <span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">sin <span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #fff2cc; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">f&ouml;rm&aring;ga <span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">att anv&auml;nda <span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #fff2cc; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">digitala verktyg<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: #ffffff; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;"> f&ouml;r att l&ouml;sa problem, f&ouml;rdjupa sitt matematikkunnande och ut&ouml;ka de omr&aring;den d&auml;r matematiska kunnandet kan anv&auml;ndas.
&nbsp;
<h4 dir="ltr" style="line-height: 1.38; background-color: #ffffff; margin-top: 0pt; margin-bottom: 8pt; padding: 15pt 0pt 0pt 0pt;"><span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: bold; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Undervisningen i &auml;mnet matematik ska ge eleverna f&ouml;ruts&auml;ttningar att utveckla f&ouml;rm&aring;ga att:</h4>
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<ol style="margin-top: 0; margin-bottom: 0; padding-inline-start: 48px;">
<li dir="ltr" style="list-style-type: decimal; font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;" aria-level="1">
<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">anv&auml;nda och beskriva inneb&ouml;rden av matematiska begrepp samt samband mellan begreppen.
</li>
<li dir="ltr" style="list-style-type: decimal; font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;" aria-level="1">
<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">hantera procedurer och l&ouml;sa uppgifter av standardkarakt&auml;r utan och med verktyg.
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<li dir="ltr" style="list-style-type: decimal; font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;" aria-level="1">
<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">formulera, analysera och l&ouml;sa matematiska problem samt v&auml;rdera valda strategier, metoder och resultat.
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<li dir="ltr" style="list-style-type: decimal; font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;" aria-level="1">
<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">tolka en realistisk situation och utforma en matematisk modell samt anv&auml;nda och utv&auml;rdera en modells egenskaper och begr&auml;nsningar.
</li>
<li dir="ltr" style="list-style-type: decimal; font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;" aria-level="1">
<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">f&ouml;lja, f&ouml;ra och bed&ouml;ma matematiska resonemang.
</li>
<li dir="ltr" style="list-style-type: decimal; font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;" aria-level="1">
<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">kommunicera matematiska tankeg&aring;ngar muntligt, skriftligt och i handling.
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<li dir="ltr" style="list-style-type: decimal; font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;" aria-level="1">
<span style="font-size: 12pt; font-family: Arial; color: #262626; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">relatera matematiken till dess betydelse och anv&auml;ndning inom andra &auml;mnen, i ett yrkesm&auml;ssigt, samh&auml;lleligt och historiskt sammanhang.
</li>
</ol>

Syfte Ma 2a

Matriser i planeringen

Uppgifter