Nedan är allt du behöver kunna om i geometri i åk 7:Vinkelsumma Du behöver kunna vinkelsumman i en triangel och i en fyrhörning samt hur man räknar ut okända vinklar.Exempel: Hur stor är vinkel v?<div data-custom-block-type="atomic"><figure class="ue__content__image" data-custom-entity-type="IMAGE" ><img class="ue__content__image__img" role="presentation" src="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/eriklindblom9/1616061049682_exempel1-vinkelsumma-triangel_scaled.png" ></figure></div><a href="https://www.inlasningstjanst.se/begreppa/videos/matematik/geometriska-begrepp/vinkelsumma-ak-7-9" data-custom-entity-content="Film om vinkelsumma">Film om vinkelsumma</a>OmkretsDu behöver kunna räkna ut omkretsen på olika geometriska figurer, kvadrat, rektangel, triangel och cirkel.Kvadraten, rektangel och triangeln: Addera sidornaCirkeln: pi (3,14) multiplicerat med diametern<a href="https://www.inlasningstjanst.se/begreppa/videos/matematik/mata-och-berakna/omkrets-ak-7-9" data-custom-entity-content="Film om omkrets">Film om omkrets</a>AreaDu behöver kunna räkna ut arean för olika geometriska figurer, kvadrat, rektangel, triangel och cirkel.Kvadraten, rektangel: basen multiplicerat med höjden triangeln: basen multiplicerat med höjden dividerat med 2Cirkeln: pi (3,14) multiplicerat med radien upphöjt till två <a href="https://www.inlasningstjanst.se/begreppa/videos/matematik/mata-och-berakna/area-ak-7-9" data-custom-entity-content="Film om area">Film om area</a>Skala<div data-custom-block-type="atomic"><figure class="ue__content__image" data-custom-entity-type="IMAGE" ><img class="ue__content__image__img" role="presentation" src="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/eriklindblom9/1616061603533_skala-langdskala_scaled.png" ></figure></div><a href="https://www.inlasningstjanst.se/begreppa/videos/matematik/geometri/skala-ak-4-6" data-custom-entity-content="Film 1 om skala">Film 1 om skala</a><a href="https://www.inlasningstjanst.se/begreppa/videos/matematik/geometri/skala-ak-7-9" data-custom-entity-content="Film 2 om skala">Film 2 om skala</a><div data-custom-block-type="atomic"><a class="monolithAppendUrlForEmailElement" data-custom-entity-type="INTERNAL_ATTACHMENT" data-file-name="X Övningsprov Kap 3 ver 1 v-2.pdf" data-file-url="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/eriklindblom9/1616061959560_xovningsprovkap3ver1v-2.pdf" href="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/eriklindblom9/1616061959560_xovningsprovkap3ver1v-2.pdf" title="X Övningsprov Kap 3 ver 1 v-2.pdf" >X Övningsprov Kap 3 ver 1 v-2.pdf</a></div>

Repetitionsmaterial geometri

<div data-custom-block-type="atomic"><a class="monolithAppendUrlForEmailElement" data-custom-entity-type="INTERNAL_ATTACHMENT" data-file-name="Diagnos 1 geometri.odt" data-file-url="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/roslagsskolan2_rn13cma/1615535060048_diagnos1geometri.odt" href="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/roslagsskolan2_rn13cma/1615535060048_diagnos1geometri.odt" title="Diagnos 1 geometri.odt" >Diagnos 1 geometri.odt</a></div>

Diagnos geometri

<div data-custom-block-type="atomic"><a class="monolithAppendUrlForEmailElement" data-custom-entity-type="INTERNAL_ATTACHMENT" data-file-name="Facit diagnos 1 geometri.docx" data-file-url="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/roslagsskolan2_rn13cma/1615536318136_facitdiagnos1geometri.docx" href="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/roslagsskolan2_rn13cma/1615536318136_facitdiagnos1geometri.docx" title="Facit diagnos 1 geometri.docx" >Facit diagnos 1 geometri.docx</a></div>Facit1. a) 90 + 65 + v = 180 155 + v = 180155-155 + v = 180 – 155V= 251. b) Vinkelsumman blir mer än 180 grader2. a) O = 6 + 6 + 8 + 8 = 12 + 16 = 28 cm2. b) 28 cm / 4 = 7 cm, sidorna i kvadraten är 7 cm, Arean = 7 cm x 7cm = 49 cm²3. O = π x diametern, 3,14 x 30cm = 94,2 cmO = 4,7 + 6 + 3,5 = 14, 2 cmA = 6 x 2,7 / 2 = 16,2 / 2 = 8,1 cm²

Facit diagnos geometri

<div data-custom-block-type="atomic"><a class="monolithAppendUrlForEmailElement" data-custom-entity-type="INTERNAL_ATTACHMENT" data-file-name="Facit diagnos 1 geometri.docx" data-file-url="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/roslagsskolan2_rn13cma/1615536318136_facitdiagnos1geometri.docx" href="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/roslagsskolan2_rn13cma/1615536318136_facitdiagnos1geometri.docx" title="Facit diagnos 1 geometri.docx" >Facit diagnos 1 geometri.docx</a></div>Facit1. a) 90 + 65 + v = 180 155 + v = 180155-155 + v = 180 – 155V= 251. b) Vinkelsumman blir mer än 180 grader2. a) O = 6 + 6 + 8 + 8 = 12 + 16 = 28 cm2. b) 28 cm / 4 = 7 cm, sidorna i kvadraten är 7 cm, Arean = 7 cm x 7cm = 49 cm²3. O = π x diametern, 3,14 x 30cm = 94,2 cm4. O = 4,7 + 6 + 3,5 = 14, 2 cmA = 6 x 2,7 / 2 = 16,2 / 2 = 8,1 cm²

Nedan är allt du behöver kunna om i geometri i åk 7:Vinkelsumma Du behöver kunna vinkelsumman i en triangel och i en fyrhörning samt hur man räknar ut okända vinklar.Exempel: Hur stor är vinkel v?<div data-custom-block-type="atomic"><figure class="ue__content__image" data-custom-entity-type="IMAGE" ><img class="ue__content__image__img" role="presentation" src="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/eriklindblom9/1616061049682_exempel1-vinkelsumma-triangel_scaled.png" ></figure></div><a href="https://www.inlasningstjanst.se/begreppa/videos/matematik/geometriska-begrepp/vinkelsumma-ak-7-9" data-custom-entity-content="Film om vinkelsumma">Film om vinkelsumma</a>OmkretsDu behöver kunna räkna ut omkretsen på olika geometriska figurer, kvadrat, rektangel, triangel och cirkel.Kvadraten, rektangel och triangeln: Addera sidornaCirkeln: pi (3,14) multiplicerat med diametern<a href="https://www.inlasningstjanst.se/begreppa/videos/matematik/mata-och-berakna/omkrets-ak-7-9" data-custom-entity-content="Film om omkrets">Film om omkrets</a>AreaDu behöver kunna räkna ut arean för olika geometriska figurer, kvadrat, rektangel, triangel och cirkel.Kvadraten, rektangel: basen multiplicerat med höjden triangeln: basen multiplicerat med höjden dividerat med 2<a href="https://www.inlasningstjanst.se/begreppa/videos/matematik/mata-och-berakna/area-ak-7-9" data-custom-entity-content="Film om area">Film om area</a>Skala<div data-custom-block-type="atomic"><figure class="ue__content__image" data-custom-entity-type="IMAGE" ><img class="ue__content__image__img" role="presentation" src="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/eriklindblom9/1616061603533_skala-langdskala_scaled.png" ></figure></div><a href="https://www.inlasningstjanst.se/begreppa/videos/matematik/geometri/skala-ak-4-6" data-custom-entity-content="Film 1 om skala">Film 1 om skala</a><a href="https://www.inlasningstjanst.se/begreppa/videos/matematik/geometri/skala-ak-7-9" data-custom-entity-content="Film 2 om skala">Film 2 om skala</a><div data-custom-block-type="atomic"><a class="monolithAppendUrlForEmailElement" data-custom-entity-type="INTERNAL_ATTACHMENT" data-file-name="X Övningsprov Kap 3 ver 1 v-2.pdf" data-file-url="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/eriklindblom9/1616061959560_xovningsprovkap3ver1v-2.pdf" href="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/eriklindblom9/1616061959560_xovningsprovkap3ver1v-2.pdf" title="X Övningsprov Kap 3 ver 1 v-2.pdf" >X Övningsprov Kap 3 ver 1 v-2.pdf</a></div>

<div data-custom-block-type="atomic"><a class="monolithAppendUrlForEmailElement" data-custom-entity-type="INTERNAL_ATTACHMENT" data-file-name="X Kan du det här Kap 3.pdf" data-file-url="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/roslagsskolan2_rn13cma/1615451774475_xkandudetharkap3.pdf" href="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/roslagsskolan2_rn13cma/1615451774475_xkandudetharkap3.pdf" title="X Kan du det här Kap 3.pdf" >X Kan du det här Kap 3.pdf</a></div><div data-custom-block-type="atomic"><a class="monolithAppendUrlForEmailElement" data-custom-entity-type="INTERNAL_ATTACHMENT" data-file-name="X Vad minns du Kap 3.pdf" data-file-url="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/roslagsskolan2_rn13cma/1615451854168_xvadminnsdukap3.pdf" href="https://start.unikum.net/unikum/content/assignments/norrtalje/roslagsskolan2/roslagsskolan2_rn13cma/1615451854168_xvadminnsdukap3.pdf" title="X Vad minns du Kap 3.pdf" >X Vad minns du Kap 3.pdf</a></div>

Vad kan du om geometri?

<table class="MsoTableGrid" style="width: 384.05pt; border-collapse: collapse; border: none; mso-border-alt: solid windowtext .5pt; mso-yfti-tbllook: 1184; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt;" border="1" width="512" cellspacing="0" cellpadding="0">
<tbody>
<tr style="mso-yfti-irow: 0; mso-yfti-firstrow: yes;">
<td style="width: 43.65pt; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="58">
Vecka
</td>
<td style="width: 176.5pt; border: solid windowtext 1.0pt; border-left: none; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="235">
Avsnitt
</td>
<td style="width: 71.75pt; border: solid windowtext 1.0pt; border-left: none; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="96">
sidor
</td>
<td style="width: 92.15pt; border: solid windowtext 1.0pt; border-left: none; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="123">
L&auml;xa/ tr&auml;na mer
</td>
</tr>
<tr style="mso-yfti-irow: 1;">
<td style="width: 43.65pt; border: solid windowtext 1.0pt; border-top: none; mso-border-top-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="58">7</td>
<td style="width: 176.5pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="235">
Vinklar
Vinkelsumma
</td>
<td style="width: 71.75pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="96">
212-224
</td>
<td style="width: 92.15pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="123">
L&auml;xa 18 s.349
<a href="http://webbapp.liber.se/matematikboken-x/">Tr&auml;na mer</a>
&nbsp;
</td>
</tr>
<tr style="mso-yfti-irow: 2;">
<td style="width: 43.65pt; border: solid windowtext 1.0pt; border-top: none; mso-border-top-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="58">8</td>
<td style="width: 176.5pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="235">
Omkrets
&nbsp;
</td>
<td style="width: 71.75pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="96">
225-232
</td>
<td style="width: 92.15pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="123">
L&auml;xa 19&nbsp;s.351
<a href="http://webbapp.liber.se/matematikboken-x/">Tr&auml;na mer</a>
</td>
</tr>
<tr style="mso-yfti-irow: 3;">
<td style="width: 43.65pt; border: solid windowtext 1.0pt; border-top: none; mso-border-top-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="58">10</td>
<td style="width: 176.5pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="235">
Area
</td>
<td style="width: 71.75pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="96">
233-242
</td>
<td style="width: 92.15pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="123">
L&auml;xa 20 s. 354
<a href="http://webbapp.liber.se/matematikboken-x/">Tr&auml;na mer</a>
</td>
</tr>
<tr style="mso-yfti-irow: 4;">
<td style="width: 43.65pt; border: solid windowtext 1.0pt; border-top: none; mso-border-top-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="58">
11
</td>
<td style="width: 176.5pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="235">
Skala
</td>
<td style="width: 71.75pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="96">
243-249
</td>
<td style="width: 92.15pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="123">
&nbsp;
<a href="http://webbapp.liber.se/matematikboken-x/">Tr&auml;na mer</a>
&nbsp;
</td>
</tr>
<tr style="mso-yfti-irow: 5;">
<td style="width: 43.65pt; border: solid windowtext 1.0pt; border-top: none; mso-border-top-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="58">12</td>
<td style="width: 176.5pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="235">repetition och prov</td>
<td style="width: 71.75pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="96">&nbsp;</td>
<td style="width: 92.15pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="123">&nbsp;</td>
</tr>
<tr style="mso-yfti-irow: 6;">
<td style="width: 43.65pt; border: solid windowtext 1.0pt; border-top: none; mso-border-top-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="58">&nbsp;</td>
<td style="width: 176.5pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="235">&nbsp;</td>
<td style="width: 71.75pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="96">&nbsp;</td>
<td style="width: 92.15pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="123">&nbsp;</td>
</tr>
<tr style="mso-yfti-irow: 7; mso-yfti-lastrow: yes;">
<td style="width: 43.65pt; border: solid windowtext 1.0pt; border-top: none; mso-border-top-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="58">&nbsp;</td>
<td style="width: 176.5pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="235">&nbsp;</td>
<td style="width: 71.75pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="96">&nbsp;</td>
<td style="width: 92.15pt; border-top: none; border-left: none; border-bottom: solid windowtext 1.0pt; border-right: solid windowtext 1.0pt; mso-border-top-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-alt: solid windowtext .5pt; padding: 0cm 5.4pt 0cm 5.4pt;" valign="top" width="123">&nbsp;</td>
</tr>
</tbody>
</table>

Matematik

 Geometriska objekt och deras inbördes relationer. Geometriska egenskaper hos dessa objekt. 

 Metoder för beräkning av area, omkrets och volym hos geometriska objekt, samt enhetsbyten i samband med detta. 

Geometri kap 5

Matriser i planeringen

Uppgifter