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De fyra räknesätten: begrepp

<p dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;">&nbsp;</p>
<h3>Syfte</h3>
<p>Genom undervisningen i &auml;mnet matematik ska eleverna bl.a. ges f&ouml;ruts&auml;ttningar att utveckla sin f&ouml;rm&aring;ga att:</p>
<ul>
<li>formulera och l&ouml;sa problem med hj&auml;lp av matematik samt v&auml;rdera valda strategier och metoder,<span style="font-size: 1em; line-height: 1.5em;">&nbsp;och</span></li>
<li>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>
</ul>
<h3 style="font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; color: #444444;">M&aring;l</h3>
<ul>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;">
<p><span style="font-size: 9pt; 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;">beh&auml;rskar algoritmer med de fyra r&auml;knes&auml;tten b&aring;de vid heltal och decimaltal</span></p>
</li>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;">
<p><span style="font-size: 9pt; 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;">avg&ouml;ra decimaltecknets placering</span></p>
</li>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;">
<p><span style="font-size: 9pt; 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;">kunna v&auml;lja passande r&auml;knemetod, t.ex. huvudr&auml;kning, uppst&auml;llning, &ouml;verslagsr&auml;kning, minir&auml;knare</span></p>
</li>
</ul>
<p>&nbsp;</p>
<h3 style="font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; color: #444444;">Begrepp</h3>
<ul>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 9pt; 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;">addition</span></li>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 9pt; 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;">term&nbsp;</span></li>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 9pt; 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;">summa</span></li>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 9pt; 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;">subtraktion</span></li>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 9pt; 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;">differens</span></li>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 9pt; 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;">faktor</span></li>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 9pt; 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;">produkt</span></li>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 9pt; 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;">division</span></li>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 9pt; 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;">n&auml;mnare</span></li>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 9pt; 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;">t&auml;ljare</span></li>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 9pt; 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;">kvot</span></li>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 9pt; 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;">minnessiffra</span></li>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;"><span style="font-size: 9pt; 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;">algoritm</span></li>
<li dir="ltr" style="line-height: 1.2; margin-top: 0pt; margin-bottom: 0pt;"><span style="color: #000000; font-family: Arial;"><span style="font-size: 12px; white-space: pre-wrap;">&ouml;verslagsr&auml;kning</span></span></li>
</ul>

Matematik

De fyra räknesätten

 Positionssystemet för tal i decimalform.

 Centrala metoder för beräkningar med naturliga tal och enkla tal i decimalform vid överslagsräkning, huvudräkning samt vid beräkningar med skriftliga metoder och digitala verktyg. Metodernas användning i olika situationer.

 Rimlighetsbedömning vid uppskattningar och beräkningar i vardagliga situationer. 

Räknemetoder: de fyra räknesätten

Matriser i planeringen

Uppgifter