<span style="font-size: 12pt; font-family: Cambria; color: #4f81bd; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Ur lgr11
<span style="font-size: 11pt; font-family: Calibri; 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
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: 'Noto Sans Symbols'; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;">
<span style="font-size: 11pt; font-family: Calibri; 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 l&ouml;sa problem med hj&auml;lp av matematik samt v&auml;rdera valda strategier och metoder,
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: 'Noto Sans Symbols'; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;">
<span style="font-size: 11pt; font-family: Calibri; 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: 'Noto Sans Symbols'; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;">
<span style="font-size: 11pt; font-family: Calibri; 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: 'Noto Sans Symbols'; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;">
<span style="font-size: 11pt; font-family: Calibri; 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: 'Noto Sans Symbols'; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;">
<span style="font-size: 11pt; font-family: Calibri; 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 redog&ouml;ra f&ouml;r fr&aring;gest&auml;llningar, ber&auml;kningar och slutsatser
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</ul>
&nbsp;
<span style="font-size: 12pt; font-family: Cambria; color: #4f81bd; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Centralt inneh&aring;ll enligt kursplanen
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: 'Noto Sans Symbols'; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;">
<span style="font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Procent f&ouml;r att uttrycka f&ouml;r&auml;ndring samt ber&auml;kningar med procent i vardagliga situationer och i situationer inom olika &auml;mnesomr&aring;den
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;">
<span style="font-size: 11pt; font-family: Calibri; 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 matematiska situationer
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;">
<span style="font-size: 11pt; font-family: Calibri; 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 &ouml;verslagsr&auml;kning, huvudr&auml;kning samt vid ber&auml;kningar med 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: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;">
<span style="font-size: 11pt; font-family: Calibri; 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 &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: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;">
<span style="font-size: 11pt; font-family: Calibri; 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 och olika &auml;mnesomr&aring;den
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre;">
<span style="font-size: 11pt; font-family: Calibri; 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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<span style="font-size: 12pt; font-family: Cambria; color: #4f81bd; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">M&aring;l f&ouml;r arbetsomr&aring;det
<span style="font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">I detta arbetsomr&aring;de kommer du f&aring; l&auml;ra dig:
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: 'Noto Sans Symbols'; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: 6pt;">
<span style="font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Koordinatsystem och strategier f&ouml;r gradering av koordinataxlar
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: 6pt;">
<span style="font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Proportionalitet och procent samt deras samband
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: 6pt;">
<span style="font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Grafer f&ouml;r olika typer av proportionella samband vid enkla unders&ouml;kningar
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: 6pt;">
<span style="font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">R&auml;kna med tid, enheter f&ouml;r tid
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: 6pt;">
<span style="font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">R&auml;kna med hastighet
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: 6pt;">
<span style="font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Hur str&auml;cka, tid och hastighet h&auml;nger ihop, st-diagram
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: 6pt;">
<span style="font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Tal i br&aring;kform, andel, del och det hela
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<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre; margin-left: 6pt;">
<span style="font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Tal i procentform
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</ul>
&nbsp;
<span style="font-size: 12pt; font-family: Cambria; color: #4f81bd; background-color: transparent; font-weight: 400; font-style: italic; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Arbetsformer och bed&ouml;mning
&nbsp;
<span style="font-size: 11pt; font-family: Calibri; 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. N&aring;gon l&auml;xa kommer ocks&aring; att ges. Omr&aring;det kommer bed&ouml;mas bl.a. genom l&auml;xor, muntliga diskussioner i grupp och enskilt med l&auml;rare, redovisningar samt prov.
<span style="font-size: 11pt; font-family: Calibri; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">&nbsp;

Matematik

Planering utifrån matematikboken x, kapitel 1.

Samband och förändring årskurs 7 vt-20

Matriser i planeringen

Uppgifter