<span style="font-size: 12pt; font-family: Cambria,serif; 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,sans-serif; 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: 0; margin-bottom: 0;">
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri,sans-serif; 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,sans-serif; 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,
</li>
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri,sans-serif; 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,sans-serif; 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,
</li>
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri,sans-serif; 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,sans-serif; 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
</li>
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri,sans-serif; 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,sans-serif; 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
</li>
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri,sans-serif; 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,sans-serif; 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
</li>
</ul>
 
<span style="font-size: 12pt; font-family: Cambria,serif; 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
<ul style="margin-top: 0; margin-bottom: 0;">
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri,sans-serif; 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,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Inneb&ouml;rden av variabelbegreppet och dess anv&auml;ndning i algebraiska uttryck, formler och ekvationer
</li>
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri,sans-serif; 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,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Algebraiska uttryck, formler och ekvationer i situationer som &auml;r relevanta
</li>
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri,sans-serif; 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,sans-serif; 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 ekvationsl&ouml;sning
</li>
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri,sans-serif; 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,sans-serif; 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 m&ouml;nster i talf&ouml;ljder och geometriska m&ouml;nster kan konstrueras, beskrivas och uttryckas generellt
</li>
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri,sans-serif; 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,sans-serif; 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 algoritmer kan skapas och anv&auml;ndas vid programmering. Programmering i olika programmeringsmilj&ouml;er
</li>
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri,sans-serif; 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,sans-serif; 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
</li>
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri,sans-serif; 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,sans-serif; 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
</li>
<li dir="ltr" style="list-style-type: disc; font-size: 11pt; font-family: Calibri,sans-serif; 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,sans-serif; 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
</li>
</ul>
 
<span style="font-size: 12pt; font-family: Cambria,serif; 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,sans-serif; 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:
<ul style="margin-top: 0; margin-bottom: 0;">
<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; white-space: pre; margin-left: 11.25pt;">
<span style="font-size: 11pt; font-family: Calibri,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">egenskaper hos och anv&auml;ndning av variabler
</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; white-space: pre; margin-left: 11.25pt;">
<span style="font-size: 11pt; font-family: Calibri,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">teckna och tolka uttryck som beskriver vardagliga och matematiska situationer
</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; white-space: pre; margin-left: 11.25pt;">
<span style="font-size: 11pt; font-family: Calibri,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">unders&ouml;ka m&ouml;nster i talf&ouml;ljder och bilder samt uttrycka m&ouml;nstren algebraiskt
</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; white-space: pre; margin-left: 11.25pt;">
<span style="font-size: 11pt; font-family: Calibri,sans-serif; 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;renkla uttryck med flera r&auml;knes&auml;tt, parenteser och potenser
</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; white-space: pre; margin-left: 11.25pt;">
<span style="font-size: 11pt; font-family: Calibri,sans-serif; 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 att l&ouml;sa ekvationer och pr&ouml;va l&ouml;sningar
</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; white-space: pre; margin-left: 11.25pt;">
<span style="font-size: 11pt; font-family: Calibri,sans-serif; color: #000000; background-color: transparent; font-weight: 400; font-style: normal; font-variant: normal; text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">ekvationssystem
</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; white-space: pre; margin-left: 11.25pt;">
<span style="font-size: 11pt; font-family: Calibri,sans-serif; 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 ekvationer f&ouml;r att l&ouml;sa probleml&ouml;sning
</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; white-space: pre; margin-left: 11.25pt;">
<span style="font-size: 11pt; font-family: Calibri,sans-serif; 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; white-space: pre; margin-left: 11.25pt;">
<span style="font-size: 11pt; font-family: Calibri,sans-serif; 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>
 
<span style="font-size: 12pt; font-family: Cambria,serif; 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,sans-serif; 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,sans-serif; 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.

Algebra åk 9

Matriser i planeringen

Uppgifter