<?xml version="1.0" encoding="utf-8"?>
<?xml-stylesheet type="text/xsl" href="https://peda.net/:static/547/atom.xsl"?>
<feed xmlns="http://www.w3.org/2005/Atom">
<title>Lyhyt matikka YO läpi -kertauskurssi</title>
<id>https://peda.net/id/632f8fa06a3</id>
<updated>2022-11-22T09:07:55+02:00</updated>
<link href="https://peda.net/id/632f8fa06a3:atom" rel="self" />
<link href="https://peda.net/yksityiskoulut/keo/lukio/oppiaineet2/lyhyt-matematiikka/lyhyt-matikka-yo-lapi-kertauskurssi#top" rel="alternate" />
<logo>https://peda.net/:static/547/peda.net.logo.bg.svg</logo>
<rights type="html">&lt;div class=&quot;license&quot;&gt;Tämän sivun lisenssi &lt;a rel=&quot;license noopener&quot; href=&quot;https://peda.net/info&quot; target=&quot;_blank&quot;&gt;Peda.net-yleislisenssi&lt;/a&gt;&lt;/div&gt;&#10;</rights>

<entry>
<title>Kurssin suoritusohje</title>
<id>https://peda.net/id/5e6ef27e6a3</id>
<updated>2023-06-02T14:16:20+03:00</updated>
<link href="https://peda.net/yksityiskoulut/keo/lukio/oppiaineet2/lyhyt-matematiikka/lyhyt-matikka-yo-lapi-kertauskurssi/kurssin-suoritusohje#top" />
<content type="html">Kurssimateriaalina on Summa kertaus kirja (Edita). Kurssilla käydään matematiikan perusasioita läpi, tavoitteena saada YO-kirjoituksista vähintään A. Mitä paremman arvosanan haluat, sitä enemmän kannattaa harjoitella. &lt;br/&gt;&#10;&lt;br/&gt;&#10;Kurssi voidaan suorittaa tekemällä luetellut tehtävät (9 * 4kpl) jokaisesta aiheesta ja harjoituskoe (preliminääri). Jokaisesta aiheesta on pieni opetusvideo ja muistiinpanot. Tehtävät voi palauttaa kuvana opettajan sähköpostiin.&lt;br/&gt;&#10;Huom! Tuntimuistiinpanot ovat osion liitteenä.&lt;br/&gt;&#10;&lt;br/&gt;&#10;Keskeiset aiheet:&lt;br/&gt;&#10;&lt;br/&gt;&#10;1. Laskusääntöjä, luvuilla laskeminen&lt;br/&gt;&#10;2. Sieventäminen ja yhtälön ratkaiseminen&lt;br/&gt;&#10;3. Prosenttilaskenta&lt;br/&gt;&#10;4. Funktio ja funktion kuvaaja (koordinaatisto)&lt;br/&gt;&#10;5. Verrannollisuus (suoraan ja kääntäen)&lt;br/&gt;&#10;6. Trigonometriaa (Pythagoraan lause, sin, cos ja tan)&lt;br/&gt;&#10;7. Toisen asteen yhtälö&lt;br/&gt;&#10;8. Lukujonot&lt;br/&gt;&#10;9. Todennäköisyyslaskentaa&lt;br/&gt;&#10;*10. Potenssi ja logaritmi&lt;br/&gt;&#10;*11. Tilastokuvaajan teko (LibreOfficeCalc)&lt;br/&gt;&#10;Laskinohjelmistojen käyttöön on opetusvideoita sivun alalaidassa.&lt;br/&gt;&#10;&lt;br/&gt;&#10;Edellisten vuosien YO-kokeet ja malliratkaisut löydät täältä (näitäkin kannattaa laskeskella):&lt;br/&gt;&#10;&lt;a href=&quot;https://yle.fi/aihe/abitreenit/matematiikka&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://yle.fi/aihe/abitreenit/matematiikka&lt;/a&gt;</content>
<published>2022-11-22T09:22:06+02:00</published>
</entry>

<entry>
<title>1 Laskusäännöt, luvuilla laskeminen</title>
<id>https://peda.net/id/374796f86a4</id>
<updated>2022-12-01T15:10:00+02:00</updated>
<link href="https://peda.net/yksityiskoulut/keo/lukio/oppiaineet2/lyhyt-matematiikka/lyhyt-matikka-yo-lapi-kertauskurssi/1-laskusaannot-luvuilla-laskeminen#top" />
<content type="html">Tee tehtävät s.11 1, 2, 3 ja 6&lt;br/&gt;&#10;&lt;br/&gt;&#10;Extra: Yo tehtävä 14.&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/e1FyCp9Itcg?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=e1FyCp9Itcg&amp;amp;list=PLbNdsb-dSp-hMctticnRXa-u7fup9w79z&amp;amp;index=2&quot; title=&quot;https://www.youtube.com/watch?v=e1FyCp9Itcg&amp;amp;list=PLbNdsb-dSp-hMctticnRXa-u7fup9w79z&amp;amp;index=2&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=e1FyCp9Itcg&amp;amp;list=PLbNdsb-dSp-hMctticnRXa-u7fup9w79z&amp;amp;index=2&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/sWJWRrz3cm8?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=sWJWRrz3cm8&amp;amp;list=PLbNdsb-dSp-hMctticnRXa-u7fup9w79z&amp;amp;index=3&quot; title=&quot;https://www.youtube.com/watch?v=sWJWRrz3cm8&amp;amp;list=PLbNdsb-dSp-hMctticnRXa-u7fup9w79z&amp;amp;index=3&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=sWJWRrz3cm8&amp;amp;list=PLbNdsb-dSp-hMctticnRXa-u7fup9w79z&amp;amp;index=3&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;Video murtoluvuista:&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/L5OrZAWZPB4?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=L5OrZAWZPB4&quot; title=&quot;https://www.youtube.com/watch?v=L5OrZAWZPB4&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=L5OrZAWZPB4&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;</content>
<published>2022-11-22T10:54:04+02:00</published>
</entry>

<entry>
<title>2 Sieventäminen, yhtälön ratkaiseminen</title>
<id>https://peda.net/id/4fd6d3fa6a4</id>
<updated>2022-12-01T15:06:12+02:00</updated>
<link href="https://peda.net/yksityiskoulut/keo/lukio/oppiaineet2/lyhyt-matematiikka/lyhyt-matikka-yo-lapi-kertauskurssi/2-sieventaminen-yhtalon-ratkaiseminen#top" />
<content type="html">Tee s.19 tehtävät 27, 28, 31 ja 40(GeoGebralla)&lt;br/&gt;&#10;ja s. 30: 51, 53, 54&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/5AYtGPnWwrs?start=23s&amp;amp;rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=5AYtGPnWwrs&amp;amp;t=23s&quot; title=&quot;https://www.youtube.com/watch?v=5AYtGPnWwrs&amp;amp;t=23s&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=5AYtGPnWwrs&amp;amp;t=23s&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/2RLgM1oYRx4?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=2RLgM1oYRx4&quot; title=&quot;https://www.youtube.com/watch?v=2RLgM1oYRx4&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=2RLgM1oYRx4&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;</content>
<published>2022-11-22T10:54:45+02:00</published>
</entry>

<entry>
<title>Tehtävien ratkaisut</title>
<id>https://peda.net/id/63d278746a4</id>
<updated>2022-11-22T10:48:09+02:00</updated>
<link href="https://peda.net/yksityiskoulut/keo/lukio/oppiaineet2/lyhyt-matematiikka/lyhyt-matikka-yo-lapi-kertauskurssi/tehtavien-ratkaisut#top" />
<content type="html"></content>
<published>2022-11-22T10:48:09+02:00</published>
</entry>

<entry>
<title>3 Prosenttilaskenta</title>
<id>https://peda.net/id/c665cc826a4</id>
<updated>2022-12-01T13:02:03+02:00</updated>
<link href="https://peda.net/yksityiskoulut/keo/lukio/oppiaineet2/lyhyt-matematiikka/lyhyt-matikka-yo-lapi-kertauskurssi/3-prosenttilaskenta#top" />
<content type="html">Tee s.37 teht. 84, 85, 87 ja 91&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/y4VivM73coo?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=y4VivM73coo&amp;amp;list=PLo0LTZqKgC-9MGVf3dQlyvGG27oLjG-fN&amp;amp;index=9&quot; title=&quot;https://www.youtube.com/watch?v=y4VivM73coo&amp;amp;list=PLo0LTZqKgC-9MGVf3dQlyvGG27oLjG-fN&amp;amp;index=9&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=y4VivM73coo&amp;amp;list=PLo0LTZqKgC-9MGVf3dQlyvGG27oLjG-fN&amp;amp;index=9&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/y4VivM73coo?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=y4VivM73coo&amp;amp;list=PLo0LTZqKgC-9MGVf3dQlyvGG27oLjG-fN&amp;amp;index=9&quot; title=&quot;https://www.youtube.com/watch?v=y4VivM73coo&amp;amp;list=PLo0LTZqKgC-9MGVf3dQlyvGG27oLjG-fN&amp;amp;index=9&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=y4VivM73coo&amp;amp;list=PLo0LTZqKgC-9MGVf3dQlyvGG27oLjG-fN&amp;amp;index=9&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;</content>
<published>2022-11-22T11:05:13+02:00</published>
</entry>

<entry>
<title>4 Funktio, koordinaatisto ja funktion kuvaaja</title>
<id>https://peda.net/id/01add72e716</id>
<updated>2022-12-01T13:05:03+02:00</updated>
<link href="https://peda.net/yksityiskoulut/keo/lukio/oppiaineet2/lyhyt-matematiikka/lyhyt-matikka-yo-lapi-kertauskurssi/4-funktio-koordinaatisto-ja-funktion-kuvaaja#top" />
<content type="html">Tee 97 tehtävät 233, 234, 235 ja 236.&lt;br/&gt;&#10;Opetusvideot:&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/28QquqR_jj8?start=425s&amp;amp;rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=28QquqR_jj8&amp;amp;t=425s&quot; title=&quot;https://www.youtube.com/watch?v=28QquqR_jj8&amp;amp;t=425s&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=28QquqR_jj8&amp;amp;t=425s&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/1nWkHUggmVU?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=1nWkHUggmVU&quot; title=&quot;https://www.youtube.com/watch?v=1nWkHUggmVU&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=1nWkHUggmVU&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;</content>
<published>2022-12-01T13:05:03+02:00</published>
</entry>

<entry>
<title>5 Verrannollisuus (suoraan ja kääntäen verrannolliset)</title>
<id>https://peda.net/id/9b198368716</id>
<updated>2023-06-02T15:25:27+03:00</updated>
<link href="https://peda.net/yksityiskoulut/keo/lukio/oppiaineet2/lyhyt-matematiikka/lyhyt-matikka-yo-lapi-kertauskurssi/5-verrannollisuus-suoraan-ja-kaantaen-verrannolliset#top" />
<content type="html">Tee tehtävät s.109: 259, 263, 265, 262&lt;br/&gt;&#10;Extra: yo tehtävä 268&lt;br/&gt;&#10;&lt;br/&gt;&#10;Opetusvideot:&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/7jT_dU9_WkI?start=385s&amp;amp;rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=7jT_dU9_WkI&amp;amp;t=385s&quot; title=&quot;https://www.youtube.com/watch?v=7jT_dU9_WkI&amp;amp;t=385s&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=7jT_dU9_WkI&amp;amp;t=385s&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/83J65A5lWss?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=83J65A5lWss&quot; title=&quot;https://www.youtube.com/watch?v=83J65A5lWss&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=83J65A5lWss&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/UCbT_sk6E7E?start=1s&amp;amp;rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=UCbT_sk6E7E&amp;amp;t=1s&quot; title=&quot;https://www.youtube.com/watch?v=UCbT_sk6E7E&amp;amp;t=1s&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=UCbT_sk6E7E&amp;amp;t=1s&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;</content>
<published>2022-12-01T13:09:21+02:00</published>
</entry>

<entry>
<title>6 Trigonometriaa</title>
<id>https://peda.net/id/602ef6ec716</id>
<updated>2023-06-02T14:06:47+03:00</updated>
<link href="https://peda.net/yksityiskoulut/keo/lukio/oppiaineet2/lyhyt-matematiikka/lyhyt-matikka-yo-lapi-kertauskurssi/6-trigonometriaa#top" />
<content type="html">Tee tehtävät s.57: 126, 127, 128, 130. Extra: 136.&lt;br/&gt;&#10;Opetusvideot:&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/ebfM5cR_LTg?start=2s&amp;amp;rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=ebfM5cR_LTg&amp;amp;t=2s&quot; title=&quot;https://www.youtube.com/watch?v=ebfM5cR_LTg&amp;amp;t=2s&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=ebfM5cR_LTg&amp;amp;t=2s&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/I7gxwE0OsB4?start=3s&amp;amp;rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=I7gxwE0OsB4&amp;amp;t=3s&quot; title=&quot;https://www.youtube.com/watch?v=I7gxwE0OsB4&amp;amp;t=3s&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=I7gxwE0OsB4&amp;amp;t=3s&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;</content>
<published>2022-12-01T13:14:51+02:00</published>
</entry>

<entry>
<title>7 Toisen asteen yhtälö</title>
<id>https://peda.net/id/d2e54100716</id>
<updated>2022-12-01T13:18:04+02:00</updated>
<link href="https://peda.net/yksityiskoulut/keo/lukio/oppiaineet2/lyhyt-matematiikka/lyhyt-matikka-yo-lapi-kertauskurssi/7-toisen-asteen-yhtalo#top" />
<content type="html">Tee teht. s. 30: 52, 58, 62, 63&lt;br/&gt;&#10;Opetusvideo:&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/A0Wmpxio-B8?start=233s&amp;amp;rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=A0Wmpxio-B8&amp;amp;t=233s&quot; title=&quot;https://www.youtube.com/watch?v=A0Wmpxio-B8&amp;amp;t=233s&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=A0Wmpxio-B8&amp;amp;t=233s&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;</content>
<published>2022-12-01T13:18:04+02:00</published>
</entry>

<entry>
<title>8 Lukujonot (ja summat)</title>
<id>https://peda.net/id/516bc6e8716</id>
<updated>2022-12-01T15:14:56+02:00</updated>
<link href="https://peda.net/yksityiskoulut/keo/lukio/oppiaineet2/lyhyt-matematiikka/lyhyt-matikka-yo-lapi-kertauskurssi/8-lukujonot#top" />
<content type="html">s.134: 303, 304, 307&lt;br/&gt;&#10;Ekstra: 305&lt;br/&gt;&#10;Opetusvideot:&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/BG-FdIJ6VTE?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=BG-FdIJ6VTE&quot; title=&quot;https://www.youtube.com/watch?v=BG-FdIJ6VTE&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=BG-FdIJ6VTE&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/3JFI6wiQWME?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=3JFI6wiQWME&quot; title=&quot;https://www.youtube.com/watch?v=3JFI6wiQWME&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=3JFI6wiQWME&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;Summat (Ekstra):&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/QLFnV3xy1cw?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=QLFnV3xy1cw&quot; title=&quot;https://www.youtube.com/watch?v=QLFnV3xy1cw&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=QLFnV3xy1cw&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/ubE51hqQTxg?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=ubE51hqQTxg&amp;amp;list=PLbNdsb-dSp-hMctticnRXa-u7fup9w79z&amp;amp;index=78&quot; title=&quot;https://www.youtube.com/watch?v=ubE51hqQTxg&amp;amp;list=PLbNdsb-dSp-hMctticnRXa-u7fup9w79z&amp;amp;index=78&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=ubE51hqQTxg&amp;amp;list=PLbNdsb-dSp-hMctticnRXa-u7fup9w79z&amp;amp;index=78&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;</content>
<published>2022-12-01T13:21:36+02:00</published>
</entry>

<entry>
<title>9 Todennäköisyyslaskentaa</title>
<id>https://peda.net/id/b538248c716</id>
<updated>2023-06-02T14:08:24+03:00</updated>
<link href="https://peda.net/yksityiskoulut/keo/lukio/oppiaineet2/lyhyt-matematiikka/lyhyt-matikka-yo-lapi-kertauskurssi/9-todennakoisyyslaskentaa#top" />
<content type="html">Tee tehtävät s.189: 450, 451, 449, 455. &lt;br/&gt;&#10;Opetusvideot:&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/lY29XO7KqXg?start=1s&amp;amp;rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=lY29XO7KqXg&amp;amp;t=1s&quot; title=&quot;https://www.youtube.com/watch?v=lY29XO7KqXg&amp;amp;t=1s&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=lY29XO7KqXg&amp;amp;t=1s&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/zk6Gzq7ktSc?start=1s&amp;amp;rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=zk6Gzq7ktSc&amp;amp;t=1s&quot; title=&quot;https://www.youtube.com/watch?v=zk6Gzq7ktSc&amp;amp;t=1s&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=zk6Gzq7ktSc&amp;amp;t=1s&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;</content>
<published>2022-12-01T13:24:23+02:00</published>
</entry>

<entry>
<title>*10 Potenssi ja logaritmi (vapaaehtoinen osio)</title>
<id>https://peda.net/id/01428cbe716</id>
<updated>2023-06-02T14:15:25+03:00</updated>
<link href="https://peda.net/yksityiskoulut/keo/lukio/oppiaineet2/lyhyt-matematiikka/lyhyt-matikka-yo-lapi-kertauskurssi/10-potenssi-ja-logaritmi#top" />
<content type="html">Tee tehtävät s.89: 209, 210, 211, 219. Extra: 218&lt;br/&gt;&#10;&lt;br/&gt;&#10;Potenssi:&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/_6OB9S9Ypm8?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=_6OB9S9Ypm8&quot; title=&quot;https://www.youtube.com/watch?v=_6OB9S9Ypm8&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=_6OB9S9Ypm8&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;Logaritmi:&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/vXSool2-Coo?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=vXSool2-Coo&quot; title=&quot;https://www.youtube.com/watch?v=vXSool2-Coo&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=vXSool2-Coo&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;</content>
<published>2022-12-01T13:26:31+02:00</published>
</entry>

<entry>
<title>11 Tilastokuvaajan teko</title>
<id>https://peda.net/id/bc93c4a6716</id>
<updated>2022-12-01T13:32:31+02:00</updated>
<link href="https://peda.net/yksityiskoulut/keo/lukio/oppiaineet2/lyhyt-matematiikka/lyhyt-matikka-yo-lapi-kertauskurssi/11-tilastokuvaajan-teko#top" />
<content type="html">Tee teht. s. 200: 476, 477, 473(LibreOfficeCalc) ja 479&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/1Z5Gfaq2DAw?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=1Z5Gfaq2DAw&quot; title=&quot;https://www.youtube.com/watch?v=1Z5Gfaq2DAw&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=1Z5Gfaq2DAw&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/yo5CYt9bI2Q?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=yo5CYt9bI2Q&quot; title=&quot;https://www.youtube.com/watch?v=yo5CYt9bI2Q&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=yo5CYt9bI2Q&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;</content>
<published>2022-12-01T13:31:45+02:00</published>
</entry>

<entry>
<title>Apua laskinten käyttöön</title>
<id>https://peda.net/id/f6aca05a6a3</id>
<updated>2022-11-22T10:45:28+02:00</updated>
<link href="https://peda.net/yksityiskoulut/keo/lukio/oppiaineet2/lyhyt-matematiikka/lyhyt-matikka-yo-lapi-kertauskurssi/apua-laskinten-kayttoon#top" />
<content type="html">GeoGebran käytöstä&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/uNyfWmgYEfc?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=uNyfWmgYEfc&quot; title=&quot;https://www.youtube.com/watch?v=uNyfWmgYEfc&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=uNyfWmgYEfc&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;GeoGebra pikaopas&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/ZqOLk1i6AXM?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=ZqOLk1i6AXM&amp;amp;list=PLs4rM_uGfKxeeVT_WVhIi7fxncjNSb9x_&amp;amp;index=3&quot; title=&quot;https://www.youtube.com/watch?v=ZqOLk1i6AXM&amp;amp;list=PLs4rM_uGfKxeeVT_WVhIi7fxncjNSb9x_&amp;amp;index=3&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=ZqOLk1i6AXM&amp;amp;list=PLs4rM_uGfKxeeVT_WVhIi7fxncjNSb9x_&amp;amp;index=3&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;A-osan laskin; Speedcrunch&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/U2OSi1T1VZ0?start=353s&amp;amp;rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=U2OSi1T1VZ0&amp;amp;t=353s&quot; title=&quot;https://www.youtube.com/watch?v=U2OSi1T1VZ0&amp;amp;t=353s&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=U2OSi1T1VZ0&amp;amp;t=353s&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;Speedcrunch pikaopas&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/gjUZmPA3xSk?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=gjUZmPA3xSk&quot; title=&quot;https://www.youtube.com/watch?v=gjUZmPA3xSk&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=gjUZmPA3xSk&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;LibreOfficeCalc pikaopas:&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/jZrTeW833uE?rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=jZrTeW833uE&amp;amp;list=PLs4rM_uGfKxeeVT_WVhIi7fxncjNSb9x_&amp;amp;index=4&quot; title=&quot;https://www.youtube.com/watch?v=jZrTeW833uE&amp;amp;list=PLs4rM_uGfKxeeVT_WVhIi7fxncjNSb9x_&amp;amp;index=4&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=jZrTeW833uE&amp;amp;list=PLs4rM_uGfKxeeVT_WVhIi7fxncjNSb9x_&amp;amp;index=4&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;</content>
<published>2022-11-22T09:19:12+02:00</published>
</entry>

<entry>
<title>Hyviä videoita aiheesta</title>
<id>https://peda.net/id/cd0335b26a3</id>
<updated>2022-11-22T09:10:52+02:00</updated>
<link href="https://peda.net/yksityiskoulut/keo/lukio/oppiaineet2/lyhyt-matematiikka/lyhyt-matikka-yo-lapi-kertauskurssi/hyvia-videoita-aiheesta#top" />
<content type="html">Viime hetken vinkkejä ja kertausta, miten päästä koe läpi:&lt;br/&gt;&#10;&lt;br/&gt;&#10;Varmat 12 pistettä?&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/BS9-BTWMCWs?start=26s&amp;amp;rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=BS9-BTWMCWs&amp;amp;t=26s&quot; title=&quot;https://www.youtube.com/watch?v=BS9-BTWMCWs&amp;amp;t=26s&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=BS9-BTWMCWs&amp;amp;t=26s&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;Kertaus 30 min&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/0GP_wzhnpBc?start=1s&amp;amp;rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=0GP_wzhnpBc&amp;amp;t=1s&quot; title=&quot;https://www.youtube.com/watch?v=0GP_wzhnpBc&amp;amp;t=1s&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=0GP_wzhnpBc&amp;amp;t=1s&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;&lt;br/&gt;&#10;&lt;br/&gt;&#10;Helpoimmat pisteet?:&lt;br/&gt;&#10;&lt;div class=&quot;youtube&quot;&gt;&lt;iframe loading=&quot;lazy&quot; width=&quot;640&quot; height=&quot;360&quot; src=&quot;https://www.youtube.com/embed/w0y03UuP-SU?start=1s&amp;amp;rel=0&amp;amp;modestbranding=1&amp;amp;hl=fi&quot; allowfullscreen=&quot;allowfullscreen&quot;&gt;&lt;/iframe&gt;&lt;div&gt;&lt;a href=&quot;https://www.youtube.com/watch?v=w0y03UuP-SU&amp;amp;t=1s&quot; title=&quot;https://www.youtube.com/watch?v=w0y03UuP-SU&amp;amp;t=1s&quot; target=&quot;_blank&quot; rel=&quot;nofollow ugc noopener&quot;&gt;https://www.youtube.com/watch?v=w0y03UuP-SU&amp;amp;t=1s&lt;/a&gt;&lt;/div&gt;&#10;&lt;/div&gt;&#10;</content>
<published>2022-11-22T09:10:52+02:00</published>
</entry>


</feed>