Matteplanering &aring;k 8, v 41-48
Dessa f&ouml;rm&aring;gor ska du forts&auml;tta att utveckla och det &auml;r dem som du betygs&auml;tts utifr&aring;n.
&nbsp;
&bull; formulera och l&ouml;sa problem med hj&auml;lp av matematik samt v&auml;rdera valda strategier
och metoder,
&bull; anv&auml;nda och analysera matematiska begrepp och samband mellan begrepp,
&bull; 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,
&bull; f&ouml;ra och f&ouml;lja matematiska resonemang, och
&bull; 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.
&nbsp;
F&ouml;ljande centrala inneh&aring;ll kommer vi att arbeta med i detta kapitel:
●&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Geometriska objekt och deras inb&ouml;rdes relationer.Geometriska egenskaper hos dessa objekt.
●&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Avbildning och konstruktion av geometriska objekt. Skala vid f&ouml;rminskning och f&ouml;rstoring av tv&aring;dimensionella objekt.
●&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Symmetri i planet.
●&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Metoder f&ouml;r ber&auml;kning av area,omkrets hos geometriska objekt samt enhetsbyten i samband med detta.
&nbsp;
M&aring;l:
N&auml;r du arbetat med det h&auml;r kapitlet ska du kunna:  
●&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; f&ouml;rklara vad area &auml;r f&ouml;r n&aring;got
●&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; ber&auml;kna arean av rektanglar,parallellogram,trianglar och cirklar
●&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; anv&auml;nda de vanligaste areaenheterna
●&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; anv&auml;nda skala och g&ouml;ra m&auml;tningar i en ritning
●&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; f&ouml;rklara spegelsymmetri och rotationssymmetri
&nbsp;
&nbsp;
&nbsp;
&nbsp;
&nbsp;
&nbsp;
&nbsp;
&nbsp;
Planering: v 41:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Diskussionsuppgift. Hur stor area (och omkrets)har figuren(oregelbunden figur ritad p&aring; 1cm-rutor) Har figurer med lika stor omkrets alltid lika stor area?
Area&nbsp; s. 42-43 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Rektangelns area s. 44
Parallellogrammens area s 45
&nbsp;
v 42:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; H&ouml;jder i trianglar s 46
Triangelns area s 47 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Cirkelns area s 48-49
Areaenheter s 50  
v 43: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Area av stora omr&aring;den s 51 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Area hemma s 52-53
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Symmetri s 55
<table class="MsoNormalTable" style="margin-left: 5.0pt; border-collapse: collapse; mso-table-layout-alt: fixed; border: none; mso-border-alt: solid black 1.0pt; mso-yfti-tbllook: 1536; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-border-insideh: 1.0pt solid black; mso-border-insidev: 1.0pt solid black;" border="1" width="0" cellspacing="0" cellpadding="0">
<tbody>
<tr style="mso-yfti-irow: 0; mso-yfti-firstrow: yes;">
<td style="width: 207.75pt; border: solid black 1.0pt; padding: 5.0pt 5.0pt 5.0pt 5.0pt;" valign="top" width="277">
Bl&aring; kurs
</td>
<td style="width: 198.75pt; border: solid black 1.0pt; border-left: none; mso-border-left-alt: solid black 1.0pt; padding: 5.0pt 5.0pt 5.0pt 5.0pt;" valign="top" width="265">
R&ouml;d kurs
</td>
</tr>
<tr style="mso-yfti-irow: 1; mso-yfti-lastrow: yes;">
<td style="width: 207.75pt; border: solid black 1.0pt; border-top: none; mso-border-top-alt: solid black 1.0pt; padding: 5.0pt 5.0pt 5.0pt 5.0pt;" valign="top" width="277">
Area s 58
&nbsp;
</td>
<td style="width: 198.75pt; border-top: none; border-left: none; border-bottom: solid black 1.0pt; border-right: solid black 1.0pt; mso-border-top-alt: solid black 1.0pt; mso-border-left-alt: solid black 1.0pt; padding: 5.0pt 5.0pt 5.0pt 5.0pt;" valign="top" width="265">
Begr&auml;nsningsarea s 64
&nbsp;
</td>
</tr>
</tbody>
</table>
&nbsp;
v 45&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; G&ouml;r Diagnosen
<table class="MsoNormalTable" style="margin-left: 5.0pt; border-collapse: collapse; mso-table-layout-alt: fixed; border: none; mso-border-alt: solid black 1.0pt; mso-yfti-tbllook: 1536; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-border-insideh: 1.0pt solid black; mso-border-insidev: 1.0pt solid black;" border="1" width="0" cellspacing="0" cellpadding="0">
<tbody>
<tr style="mso-yfti-irow: 0; mso-yfti-firstrow: yes;">
<td style="width: 207.75pt; border: solid black 1.0pt; padding: 5.0pt 5.0pt 5.0pt 5.0pt;" valign="top" width="277">
Bl&aring; kurs
</td>
<td style="width: 198.75pt; border: solid black 1.0pt; border-left: none; mso-border-left-alt: solid black 1.0pt; padding: 5.0pt 5.0pt 5.0pt 5.0pt;" valign="top" width="265">
R&ouml;d kurs
</td>
</tr>
<tr style="mso-yfti-irow: 1; mso-yfti-lastrow: yes;">
<td style="width: 207.75pt; border: solid black 1.0pt; border-top: none; mso-border-top-alt: solid black 1.0pt; padding: 5.0pt 5.0pt 5.0pt 5.0pt;" valign="top" width="277">
Rektangelns area s 59
H&ouml;jder i trianglar s 60
Triangelns area s 61
Cirkelns area s&nbsp; 62
</td>
<td style="width: 198.75pt; border-top: none; border-left: none; border-bottom: solid black 1.0pt; border-right: solid black 1.0pt; mso-border-top-alt: solid black 1.0pt; mso-border-left-alt: solid black 1.0pt; padding: 5.0pt 5.0pt 5.0pt 5.0pt;" valign="top" width="265">
Trubbvinkliga trianglar s 66
Cirkelb&aring;ge och cirkelsektor s.67
Mer om area s 68
</td>
</tr>
</tbody>
</table>
 v 46
<table class="MsoNormalTable" style="margin-left: 5.0pt; border-collapse: collapse; mso-table-layout-alt: fixed; border: none; mso-border-alt: solid black 1.0pt; mso-yfti-tbllook: 1536; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-border-insideh: 1.0pt solid black; mso-border-insidev: 1.0pt solid black;" border="1" width="0" cellspacing="0" cellpadding="0">
<tbody>
<tr style="mso-yfti-irow: 0; mso-yfti-firstrow: yes;">
<td style="width: 208.5pt; border: solid black 1.0pt; padding: 5.0pt 5.0pt 5.0pt 5.0pt;" valign="top" width="278">
Bl&aring; kurs
</td>
<td style="width: 200.25pt; border: solid black 1.0pt; border-left: none; mso-border-left-alt: solid black 1.0pt; padding: 5.0pt 5.0pt 5.0pt 5.0pt;" valign="top" width="267">
R&ouml;d kurs
</td>
</tr>
<tr style="mso-yfti-irow: 1; mso-yfti-lastrow: yes;">
<td style="width: 208.5pt; border: solid black 1.0pt; border-top: none; mso-border-top-alt: solid black 1.0pt; padding: 5.0pt 5.0pt 5.0pt 5.0pt;" valign="top" width="278">
Sammansatta figurer s 63
Repetition inf&ouml;r prov p&aring; kapitel 2
</td>
<td style="width: 200.25pt; border-top: none; border-left: none; border-bottom: solid black 1.0pt; border-right: solid black 1.0pt; mso-border-top-alt: solid black 1.0pt; mso-border-left-alt: solid black 1.0pt; padding: 5.0pt 5.0pt 5.0pt 5.0pt;" valign="top" width="267">
Befolkningst&auml;thet s 70
Repetition inf&ouml;r prov p&aring; kapitel 2
</td>
</tr>
</tbody>
</table>
v 47
<table class="MsoNormalTable" style="margin-left: 5.0pt; border-collapse: collapse; mso-table-layout-alt: fixed; border: none; mso-border-alt: solid black 1.0pt; mso-yfti-tbllook: 1536; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-border-insideh: 1.0pt solid black; mso-border-insidev: 1.0pt solid black;" border="1" width="0" cellspacing="0" cellpadding="0">
<tbody>
<tr style="mso-yfti-irow: 0; mso-yfti-firstrow: yes; mso-yfti-lastrow: yes;">
<td style="width: 390.75pt; border: solid black 1.0pt; padding: 5.0pt 5.0pt 5.0pt 5.0pt;" valign="top" width="521">
Prov p&aring; kapitel 2 ,
</td>
<td style="width: 18.0pt; border: solid black 1.0pt; border-left: none; mso-border-left-alt: solid black 1.0pt; padding: 5.0pt 5.0pt 5.0pt 5.0pt;" valign="top" width="24">
&nbsp;
</td>
</tr>
</tbody>
</table>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;

Geometri ÅK 8

Matriser i planeringen

Uppgifter