Tidsplaneringen &auml;r: v. 34 &ndash;&nbsp;39
N&auml;r du har arbetat med det h&auml;r kunskapsomr&aring;det (Taluppfattning) ska du kunna:
<ul class="ul1">
<li class="li1">j&auml;mf&ouml;ra tal i br&aring;kform och i decimalform.</li>
<li class="li1">addera, subtrahera, multiplicera och dividera tal i br&aring;kform och decimalform.</li>
<li class="li1">f&ouml;rklara vad ett negativt tal &auml;r.</li>
<li class="li1">r&auml;kna med negativa tal.</li>
<li class="li1">redovisa dina tankar om tal i br&aring;k-, decimal- och procentform med olika&nbsp; uttrycksformer t ex med bilder, ord eller matematiska symboler och v&auml;xlar mellan dessa.</li>
<li class="li1">f&ouml;lja, framf&ouml;ra och bem&ouml;ta matematiska resonemang om tal i br&aring;k-, decimal- och procentform.&nbsp;</li>
<li>k&auml;nna igen och kan namnge de centrala begreppen som du hittar nedan.</li>
<li>
Tal, siffra, tiosystemet, platsv&auml;rde, addition, term, summa, subtraktion, differens, multiplikation, faktor, produkt, division, t&auml;ljare, n&auml;mnare, kvot, andel, decimalform, br&aring;kform, br&aring;k, blandad form, f&ouml;rl&auml;nga, f&ouml;rkorta, negativa tal, motsatt tal.
</li>
</ul>
<table cellspacing="0" cellpadding="0">
<tbody>
<tr>
<td style="width: 45.0px; height: 35.0px; background-color: rgba(255, 38, 0, 0.5); border: 1.0px solid #ff2600;" valign="middle">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">Vecka
</td>
<td style="width: 115.0px; height: 35.0px; background-color: rgba(255, 38, 0, 0.5); border: 1.0px solid #ff2600;" valign="middle">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">Sidor
</td>
<td style="width: 318.0px; height: 35.0px; background-color: rgba(255, 38, 0, 0.5); border: 1.0px solid #ff2600;" valign="middle">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">Moment
</td>
</tr>
<tr>
<td style="width: 45px; height: 69px; border: 1px solid #ff2600;" valign="middle">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">34
</td>
<td style="width: 115px; height: 69px; border: 1px solid #ff2600;" valign="middle">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">&nbsp;8 - 11
</td>
<td style="width: 312px; height: 63px; padding: 3px; border: 1px solid #ff2600;" valign="top">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">Tal i br&aring;kform och decimalform, addition och subtraktion med tal i br&aring;kform och i decimalform, multiplikation av tal i br&aring;kform, multiplikation med tal i br&aring;kform.
</td>
</tr>
<tr>
<td style="width: 45.0px; height: 54.0px; background-color: rgba(255, 95, 94, 0.3); border: 1.0px solid #ff2600;" valign="middle">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">35
</td>
<td style="width: 115.0px; height: 54.0px; background-color: rgba(255, 95, 94, 0.3); border: 1.0px solid #ff2600;" valign="middle">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">12 - 15
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">46 - 47
</td>
<td style="width: 312.0px; height: 48.0px; background-color: rgba(255, 95, 94, 0.3); padding: 3.0px 3.0px 3.0px 3.0px; border: 1.0px solid #ff2600;" valign="top">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">Multiplikation med tv&aring; tal i br&aring;kform, Division med tal i br&aring;kform.
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">Mer om division med tal i br&aring;kform.
</td>
</tr>
<tr>
<td style="width: 45.0px; height: 117.0px; border: 1.0px solid #ff2600;" rowspan="2" valign="middle">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">36
</td>
<td style="width: 115.0px; height: 63.0px; border: 1.0px solid #ff2600;" valign="middle">
&nbsp;
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">16 - 21
&nbsp;
</td>
<td style="width: 312.0px; height: 57.0px; padding: 3.0px 3.0px 3.0px 3.0px; border: 1.0px solid #ff2600;" valign="top">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">Multiplikation med tal i decimalform, division med tal i decimalform, multiplikation och division med tal i decimalform.
</td>
</tr>
<tr>
<td style="width: 115px; height: 53px; border: 1px solid #ff2600;" valign="middle">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">&nbsp;30 - 41
</td>
<td style="width: 312px; height: 47px; padding: 3px; border: 1px solid #ff2600;" valign="middle">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">Repetition bl&aring; kurs: du kan jobba med de bl&aring;a sidorna samtidigt med de gr&ouml;na sidorna.
&nbsp;
</td>
</tr>
<tr>
<td style="width: 45.0px; height: 68.0px; background-color: rgba(255, 38, 0, 0.3); border: 1.0px solid #ff2600;" valign="middle">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">37
</td>
<td style="width: 115.0px; height: 68.0px; background-color: rgba(255, 38, 0, 0.3); border: 1.0px solid #ff2600;" valign="middle">
&nbsp;
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">22 - 27&nbsp;
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">&nbsp;
&nbsp;
</td>
<td style="width: 312.0px; height: 62.0px; background-color: rgba(255, 38, 0, 0.3); padding: 3.0px 3.0px 3.0px 3.0px; border: 1.0px solid #ff2600;" valign="top">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">Negativa tal, addition och subtraktion med negativa tal, multiplikation och division med negativa tal.
</td>
</tr>
<tr>
<td style="width: 45.0px; height: 53.0px; border: 1.0px solid #ff2600;" valign="middle">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">38
</td>
<td style="width: 115px; height: 53px; border: 1px solid #ff2600;" valign="middle">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">&nbsp;42 - 45 och 48
</td>
<td style="width: 312px; height: 47px; padding: 3px; border: 1px solid #ff2600;" valign="middle">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">R&ouml;d kurs + repetition
</td>
</tr>
<tr>
<td style="width: 45.0px; height: 52.0px; background-color: #ffc072; border-style: solid; border-width: 1.0px; border-color: #ff2600 #ff2600 #000000 #ff2600;" valign="middle">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">39
</td>
<td style="width: 115.0px; height: 52.0px; background-color: #ffc072; border: 1.0px solid #ff2600;" valign="middle">
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">Matteprov
</td>
<td style="width: 318.0px; height: 52.0px; background-color: #ffc072; border: 1.0px solid #ff2600;" valign="middle">
&nbsp;
<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 12px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">&nbsp;<span style="font-variant-numeric: normal; font-variant-east-asian: normal; font-stretch: normal; font-size: 16px; line-height: normal; font-family: 'Times New Roman'; font-kerning: none; font-variant-ligatures: common-ligatures; color: #000000;">Repetition + prov p&aring; torsdag 26/9/2019
&nbsp;
</td>
</tr>
</tbody>
</table>
Bed&ouml;mning&nbsp;
<div class="row">
<div class="col-sm-12">
&nbsp;Ditt arbete kommer att bed&ouml;mas genom hur du:
<ul>
<li class="li2">praktiskt genomf&ouml;r olika aktiviteter</li>
<li class="li2">skriftligt och muntligt redovisar dina kunskaper och slutsatser</li>
<li class="li2">se bed&ouml;mningsmatris.</li>
</ul>
&nbsp;
</div>
</div>

Matematik

Tal åk8

 Reella tal och deras egenskaper samt deras användning i vardagliga och matematiska situationer. 

 Talsystemets utveckling från naturliga tal till reella tal. Metoder för beräkningar som använts i olika historiska och kulturella sammanhang. 

  Tal i potensform. Grundpotensform för att uttrycka små och stora tal samt användning av prefix.

 Centrala metoder för beräkningar med tal i bråk- och decimalform vid överslagsräkning, huvudräkning samt vid beräkningar med skriftliga metoder och digital teknik. Metodernas användning i olika situationer. 

 Rimlighetsbedömning vid uppskattningar och beräkningar i vardagliga och matematiska situationer och inom andra ämnesområden. 

 Strategier för problemlösning i vardagliga situationer och inom olika ämnesområden samt värdering av valda strategier och metoder. 

 Matematisk formulering av frågeställningar utifrån vardagliga situationer och olika ämnesområden. 

 Enkla matematiska modeller och hur de kan användas i olika situationer. 

Taluppfattning, åk8

Matriser i planeringen

Uppgifter