Delar av det hela

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Lektion 2 - Delar av det hela

Film.

  • Täljare och nämnare, Kunskapshubben. OBS! man får ta filmen för vad den är. Den är lite fåning.
  • Blandad form, Kunskapshubben. Den här filmen är riktad till en viss grupp och därför är den personlig och skämtsam.

Beting. Matte Direkt sidorna 76-77.

Mål. ange delen av något i bråkform.

övningar

bråkövning
  • Övningsblad med grafiska bråk (pdf) En trevlig övning som antingen görs i datorn eller på papper som printas i färg och plastas in.

Datorövning.

Röd kurs. Delen och det hela på sidan 97

Geogebra

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" 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