<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Genom undervisningen i &auml;mnet matematik ska eleverna sammanfattningsvis ges f&ouml;ruts&auml;ttningar att utveckla sin f&ouml;rm&aring;ga att
<ul style="margin-top: 0pt; margin-bottom: 0pt;">
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">formulera och <span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">l&ouml;sa problem med hj&auml;lp av matematik samt v&auml;rdera valda strategier och metoder,
</li>
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; 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 analysera matematiska begrepp och samband mellan begrepp,
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">v&auml;lja och anv&auml;nda l&auml;mpliga matematiska metoder f&ouml;r att g&ouml;ra ber&auml;kningar och l&ouml;sa rutinuppgifter
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">f&ouml;ra och f&ouml;lja matematiska resonemang, och
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; 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 matematikens uttrycksformer f&ouml;r att samtala om, argumentera och <span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">redog&ouml;ra f&ouml;r fr&aring;gest&auml;llningar, ber&auml;kningar och slutsatser
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</ul>
<h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 13.999999999999998pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Centralt inneh&aring;ll enligt kursplanen</h3>
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Reella tal och deras egenskaper samt deras anv&auml;ndning i vardagliga och <span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">matematiska situationer
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Centrala metoder f&ouml;r ber&auml;kningar med tal i br&aring;k- och decimalform vid <span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">&ouml;verslagsr&auml;kning, huvudr&auml;kning samt vi ber&auml;kningar med <span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">skriftliga metoder och digital teknik. Metodernas anv&auml;ndning i olika situationer.
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Rimlighetsbed&ouml;mning vid uppskattningar och ber&auml;kningar i vardagliga och matematiska situationer och inom andra &auml;mnesomr&aring;den. 
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Strategier f&ouml;r probleml&ouml;sning i vardagliga situationer och inom olika <span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">&auml;mnesomr&aring;den samt v&auml;rdering av valda strategier och metoder
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Matematisk formulering av fr&aring;gest&auml;llningar utifr&aring;n vardagliga situationer
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Enkla matematiska modeller och hur de kan anv&auml;ndas i olika situationer
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</ul>
<h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 13.999999999999998pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">M&aring;l f&ouml;r arbetsomr&aring;det</h3>
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Inom detta arbetsomr&aring;det kommer du att l&auml;ra dig:
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">positionssystemet och de fyra r&auml;knes&auml;tten
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">numeriska uttryck och prioriteringsreglerna
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">utf&ouml;ra ber&auml;kningar med tal i br&aring;k- och decimalform
</li>
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">utf&ouml;ra ber&auml;kningar med negativa tal
</li>
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">metoder f&ouml;r multiplikation och division med sm&aring; och stora tal
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">avrundning och &ouml;verslagsr&auml;kning
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">v&auml;rdera l&ouml;sningsmetoder och matematiska resonemang
</li>
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline;">
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">f&ouml;rklara och motivera utifr&aring;n dina kunskaper om begreppen i kapitlet
</li>
</ul>
<h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 13.999999999999998pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Arbetsformer och bed&ouml;mning</h3>
&nbsp;
<span style="font-size: 11pt; font-family: Arial; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">F&ouml;r att uppn&aring; m&aring;len kommer genomg&aring;ngar av olika moment att h&aring;llas, tid f&ouml;r enskild r&auml;kning av uppgifterna i boken kommer ocks&aring; att ges. P&aring; lektionerna kommer olika begrepp och l&ouml;sningsmetoder diskuteras, b&aring;de i st&ouml;rre och mindre grupper. L&auml;xa ges i form av att du ansvarar f&ouml;r att f&ouml;lja den uppsatta planeringen. Omr&aring;det kommer bed&ouml;mas bl.a. muntliga diskussioner i grupp och enskilt med l&auml;rare, redovisningar samt prov.

Matematik

Planering utifrån matematikboken x, kapitel 1.

Taluppfattning och tals användning 7d

Matriser i planeringen

Uppgifter