<span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;">Kombinatorik
&nbsp;M&aring;let &auml;r att samarbeta och l&auml;ra av varandra. Vi anv&auml;nder begreppet l&auml;rkamrater n&auml;r vi samarbetar.
&nbsp;M&aring;let &auml;r att hitta s&aring; m&aring;nga olika kombinationer av tre f&auml;rger som m&ouml;jligt.
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Gemensamt luktsalt: Tre elever v&auml;ljs ut f&ouml;r att vi ska &aring;sk&aring;dligg&ouml;ra tre olika kombinationer av tr&ouml;jor. Vi pratar om hur eleverna &auml;r placerade. F&ouml;rst st&aring;r elev med gr&ouml;n tr&ouml;ja, i mitten en bl&aring; tr&ouml;ja och sist en r&ouml;d tr&ouml;ja. Hur m&aring;nga kombinationer finns det?
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Material:&nbsp;Laborativt material som multilink (plastklossar) i olika f&auml;rger, f&auml;rgpennor.&nbsp; Att f&aring; bygga kombinationerna s&aring; att det blir tydligt hur m&aring;nga kombinationer det finns. F&auml;rgpennor s&aring; att man kan se p&aring; ett papper vilka kombinationer vi kan hitta.
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V&auml;rdegrund och kunskapskrav utg&aring;r bl a ifr&aring;n kapitel 2.2 Skolans m&aring;l att elever ska kunna till exempel: &rdquo;l&auml;ra, utforska och arbeta b&aring;de sj&auml;lvst&auml;ndigt och tillsammans med andra och k&auml;nna tillit till sin egen f&ouml;rm&aring;ga.&rdquo;
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Viktiga val av arbetss&auml;tt: Explicit undervisning med tydlighet Kamratl&auml;rande
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Syfte: Formulera och l&ouml;sa problem med hj&auml;lp av matematik samt v&auml;rdera valda strategier och metoder, anv&auml;nda och analysera matematiska begrepp och samband mellan begrepp, f&ouml;ra och f&ouml;lja matematiska resonemang
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<span style="display: inline !important; float: none; background-color: #ffffff; color: #444444; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;">Differentierade inslag som vi tar h&auml;nsyn till&nbsp;
<span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><strong style="box-sizing: border-box; color: #444444; font-family: &amp;quot; helvetica neue&amp;quot;,helvetica,arial,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: bold; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;">Tempo: Snabb genomg&aring;ng s&aring; att alla f&aring;r komma ig&aring;ng och utforska. Till&aring;tande tidsomf&aring;ng f&ouml;r de som beh&ouml;ver reflektion f&ouml;r djupl&auml;rande.
<span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><strong style="box-sizing: border-box; color: #444444; font-family: &amp;quot; helvetica neue&amp;quot;,helvetica,arial,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: bold; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;">Niv&aring;: Fr&aring;n konkret material till abstrakt, f&auml;rgklossar, pennor och papper. Olika niv&aring;er p&aring; uppgiften i stegrande skala.
<span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><strong style="box-sizing: border-box; color: #444444; font-family: &amp;quot; helvetica neue&amp;quot;,helvetica,arial,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: bold; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;">Omf&aring;ng: Avgr&auml;nsade uppgifter vid behov.
<span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><span style="text-align: left; color: #444444; text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-variant: normal; word-spacing: 0px; display: inline !important; white-space: normal; orphans: 2; float: none; -webkit-text-stroke-width: 0px; background-color: #ffffff;"><strong style="box-sizing: border-box; color: #444444; font-family: &amp;quot; helvetica neue&amp;quot;,helvetica,arial,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: bold; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;">Intresse: Vi anv&auml;nder oss av vardagsn&auml;ra och f&ouml;r eleverna igenk&auml;nningsfaktorer som t ex val av kl&auml;der, smak p&aring; glassar.
<strong style="box-sizing: border-box; color: #444444; font-family: &amp;quot; helvetica neue&amp;quot;,helvetica,arial,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: bold; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;">Stj&auml;rnUtmaning<span style="display: inline !important; float: none; background-color: #ffffff; color: #444444; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"> d&auml;r vi l&auml;gger till en ytterligare f&auml;rg p&aring; en tr&ouml;ja till kombinationerna.<br style="box-sizing: border-box; color: #444444; font-family: &amp;quot; helvetica neue&amp;quot;,helvetica,arial,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;" /><span style="display: inline !important; float: none; background-color: #ffffff; color: #444444; font-family: 'Helvetica Neue',Helvetica,Arial,sans-serif; font-size: 14px; font-style: normal; font-variant: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: left; text-decoration: none; text-indent: 0px; text-transform: none; -webkit-text-stroke-width: 0px; white-space: normal; word-spacing: 0px;"> Kodl&aring;s p&aring; resv&auml;skan d&auml;r sifferkombinationen m&aring;ste kn&auml;ckas.

Matematik

Eleverna får samarbeta med en lärkamrat och utforska hur många olika kombinationer det finns om vi använder tre färger. Tillsammans visar vi olika strategier för att ta reda på att vi är säkra på att vi hittar alla kombinationer.

Samarbeta och utforska kombinatorik

Matriser i planeringen

Uppgifter