Matteord:
vinkelben&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;parallellogram
vinkelsumma&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;romb
r&auml;t vinkel&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; diagonal
spetsig vinkel&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; omkrets
trubbig vinkel&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; cirkel
rak vinkel&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;medelpunkt
r&auml;tvinklig triangel&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;radie
likbent triangel&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;diameter
liksidig triangel&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; skala
kvadrat&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;f&ouml;rminskning
&nbsp;
rektangel&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; f&ouml;rstoring
&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; naturlig storlek
M&aring;l
- uppskatta, m&auml;ta och r&auml;kna ut vinklar i olika geometriska figurer
<div>- anv&auml;nda gradskiva</div>
<div>- r&auml;kna ut vinklar med hj&auml;lp av vinkelsumman i en triangel</div>
<div>- beskriva olika slags trianglar och fyrh&ouml;rningar</div>
<div>- m&auml;ta och r&auml;kna ut omkretsen olika geometriska figurer</div>
<div>- r&auml;kna med skala</div>
&nbsp;
Tidsplanering:
Vecka &nbsp; &nbsp; &nbsp;&nbsp;Gr&ouml;n/R&ouml;d kurs &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;Bl&aring; kurs&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;
45&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Sid 70-76 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Sid 86 - 87&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;
46&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Sid 77-80&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Sid 88- 89&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;
47&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Sid 81-85&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Sid 90-91&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;
48&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;R&ouml;d kurs&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Repetition&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;
49&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Provvecka
&nbsp;
<div>Exempeluppgifter E-A:niv&aring;:</div>
<div>
&Aring;k 7 exempeluppgifter till PROV 3
&nbsp;
&nbsp;1. Hur stora &auml;r vinklarna, m&auml;t med gradskiva.&nbsp;
&nbsp;
&nbsp;
&nbsp;<img src="http://gillamatte.se/Gillamatte.se/Vinklar_och_trianglar/Poster/2011/9/7_Bas_files/Vinklar%202.jpg" alt="Bildresultat f&ouml;r vinklar" />
&nbsp;
2.Rita en spetsig vinkel.
3.Hur m&aring;nga grader &auml;r en r&auml;t vinkel?
4. r&auml;kna ut vinkeln a om z=40 och y=80
&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; &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;
&nbsp;<img src="https://matematikvideo.se/wordpress/wp-content/uploads/yttervinkelsatsen.png" alt="Bildresultat f&ouml;r vinklar" width="311" height="180" />
5. Vilka av trianglarna &auml;r:
a) r&auml;tvinkliga
b) likbenta
&nbsp;
<img src="https://start.unikum.net/unikum/planering/image.ajax?id=3265779840&amp;lppId=3166758973" alt="Bildresultat f&ouml;r trianglar" width="426" height="230" />
6. vilka av figurerna &auml;r
a) parallellogram
b) romb
c) rektangel
7. Vilka p&aring;st&aring;enden &auml;r sanna?
a) I en romb &auml;r alla sidor lika l&aring;nga.
b) I en liksidig triangel &auml;r alla vinklar 60
c) I en r&auml;tvinklig triangel &auml;r tv&aring; av vinklarna r&auml;ta.
&nbsp;
&nbsp;
&nbsp;
&nbsp;
Videolektioner
<div>vinklar:</div>
<div><a href="https://www.youtube.com/playlist?list=PLC0uA88O8pF8IiIypqanQ-62uY2hP46eH" target="_blank" rel="noopener">https://www.youtube.com/playlist?list=PLC0uA88O8pF8IiIypqanQ-62uY2hP46eH</a>&nbsp;</div>
&nbsp;
IT-&ouml;vningar/uppgifter:
<div style="color: #666154; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px;">ur mattelyftet Modul:GE</div>
&nbsp;
<div style="color: #666154; font-family: Arial, Verdana, sans-serif; font-size: 13.3333px;"><a href="https://matematiklyftet.skolverket.se/matematik/content/conn/ContentServer/uuid/dDocName:LI64RH5PRO020442?rendition=web" target="_blank" rel="noopener">https://matematiklyftet.skolverket.se/matematik/content/conn/ContentServer/uuid/dDocName:LI64RH5PRO020442?rendition=web</a>&nbsp;</div>
&nbsp;
</div>

Matematik åk 7 kap 3 Geometri v. 45 -49

Läroplanskopplingar

Matriser i planeringen

Uppgifter