5.4 Wortels herleiden (theorie A, B,C)

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Slide 1 - Diapositive

Aan het einde van deze les:

5.4 Wortels herleiden

kan je een wortel herleiden door een getal voor het wortelteken te brengen en het getal onder het wortelteken zo klein mogelijk te maken
kan je wortels herleiden bij het delen van wortels

Slide 2 - Diapositive

\sqrt ​ 49 ​ ​ ​ =

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Slide 3 - Question ouverte

\sqrt ​ 25 ​ ​ ​ =

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Slide 4 - Question ouverte

\sqrt ​ 64 ​ ​ ​ =

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Slide 5 - Question ouverte

5.4 Wortels herleiden

\sqrt ​ 4 ​ ​ ​ = 2

\sqrt ​ 9 ​ ​ ​ = 3

\sqrt ​ 16 ​ ​ ​ = 4

\sqrt ​ 25 ​ ​ ​ = 5

\sqrt ​ 36 ​ ​ ​ = 6

\sqrt ​ 49 ​ ​ ​ = 7

\sqrt ​ 64 ​ ​ ​ = 8

\sqrt ​ 81 ​ ​ ​ = 9

Slide 6 - Diapositive

5.4 Wortels herleiden

\sqrt ​ 108 ​ ​ ​ =

Slide 7 - Diapositive

5.4 Wortels herleiden

\sqrt ​ 108 ​ ​ ​ =

108 : 4 = 27

Slide 8 - Diapositive

5.4 Wortels herleiden

\sqrt ​ 108 ​ ​ ​ =

108 : 4 = 27

108 : 9 = 12

Slide 9 - Diapositive

5.4 Wortels herleiden

\sqrt ​ 108 ​ ​ ​ =

108 : 4 = 27

108 : 9 = 12

108 : 16 = 6, 75

Slide 10 - Diapositive

5.4 Wortels herleiden

\sqrt ​ 108 ​ ​ ​ =

108 : 4 = 27

108 : 9 = 12

108 : 16 = 6, 75

108 : 25 = 4, 32

Slide 11 - Diapositive

5.4 Wortels herleiden

\sqrt ​ 108 ​ ​ ​ =

108 : 4 = 27

108 : 9 = 12

108 : 16 = 6, 75

108 : 25 = 4, 32

108 : 36 = 3

Slide 12 - Diapositive

5.4 Wortels herleiden

\sqrt ​ 108 ​ ​ ​ =

108 : 4 = 27

108 : 9 = 12

108 : 16 = 6, 75

108 : 25 = 4, 32

108 : 36 = 3

108 = 36 \cdot 3

Slide 13 - Diapositive

5.4 Wortels herleiden

\sqrt ​ 108 ​ ​ ​ =

108 : 4 = 27

108 : 9 = 12

108 : 16 = 6, 75

108 : 25 = 4, 32

108 : 36 = 3

108 = 36 \cdot 3

\sqrt ​ 108 ​ ​ ​ = \sqrt ​ 36 ​ ​ ​ \cdot \sqrt ​ 3 ​ ​ ​

Slide 14 - Diapositive

5.4 Wortels herleiden

\sqrt ​ 108 ​ ​ ​ =

108 : 4 = 27

108 : 9 = 12

108 : 16 = 6, 75

108 : 25 = 4, 32

108 : 36 = 3

108 = 36 \cdot 3

\sqrt ​ 108 ​ ​ ​ = \sqrt ​ 36 ​ ​ ​ \cdot \sqrt ​ 3 ​ ​ ​

\sqrt ​ 108 ​ ​ ​ = 6 \cdot \sqrt ​ 3 ​ ​ ​

Slide 15 - Diapositive

\sqrt ​ 90 ​ ​ ​ =

9 \sqrt ​ 10 ​ ​ ​

10 \sqrt ​ 9 ​ ​ ​

3 \sqrt ​ 10 ​ ​ ​

2 \sqrt ​ 45 ​ ​ ​

Slide 16 - Quiz

5.4 Wortels herleiden

3 \sqrt ​ 44 ​ ​ ​ =

Slide 17 - Diapositive

5.4 Wortels herleiden

3 \sqrt ​ 44 ​ ​ ​ =

3 \cdot \sqrt ​ 44 ​ ​ ​ =

Slide 18 - Diapositive

5.4 Wortels herleiden

3 \sqrt ​ 44 ​ ​ ​ =

44 : 4 = 11

44 : 9 = 4, 88888 . . .

44 : 16 = 2, 75

44 : 25 = 1, 76

44 = 4 \cdot 11

3 \cdot \sqrt ​ 44 ​ ​ ​ =

Slide 19 - Diapositive

5.4 Wortels herleiden

3 \sqrt ​ 44 ​ ​ ​ =

44 : 4 = 11

44 : 9 = 4, 88888 . . .

44 : 16 = 2, 75

44 : 25 = 1, 76

44 = 4 \cdot 11

3 \cdot \sqrt ​ 44 ​ ​ ​ = 3 \cdot \sqrt ​ 4 ​ ​ ​ \cdot \sqrt ​ 11 ​ ​ ​

3 \cdot \sqrt ​ 44 ​ ​ ​ = 3 \cdot 2 \cdot \sqrt ​ 11 ​ ​ ​ = 6 \sqrt ​ 11 ​ ​ ​

3 \cdot \sqrt ​ 44 ​ ​ ​ =

Slide 20 - Diapositive

5.4 Wortels herleiden

\frac{​ \sqrt ​ 2 1 ​ ​ ​ ​ ​}{​ \sqrt ​ 3 ​ ​ ​ ​} = \sqrt ​ \frac{​ 2 1 ​ ​}{​ 3 ​} ​ ​ ​ = \sqrt ​ 7 ​ ​ ​

Slide 21 - Diapositive

5.4 Wortels herleiden

\frac{​ \sqrt ​ 2 4 ​ ​ ​ ​ ​}{​ \sqrt ​ 3 ​ ​ ​ ​} = \sqrt ​ 8 ​ ​ ​

Slide 22 - Diapositive

5.4 Wortels herleiden

\frac{​ 1 2 \sqrt ​ 2 7 ​ ​ ​ ​ ​}{​ 4 \sqrt ​ 3 ​ ​ ​ ​} =

Slide 23 - Diapositive

5.4 Wortels herleiden

Slide 24 - Diapositive

5.4 Wortels herleiden

\sqrt ​ \frac{​ 4 ​ ​}{​ 2 5 ​} ​ ​ ​ = \frac{​ \sqrt ​ 4 ​ ​ ​ ​ ​}{​ \sqrt ​ 2 5 ​ ​ ​ ​} = \frac{​ 2 ​ ​}{​ 5 ​}

Slide 25 - Diapositive

5.4 Wortels herleiden

\sqrt ​ 1 ​ ​ ​ \frac{​ 1 ​ ​}{​ 4 ​} = \sqrt ​ \frac{​ 9 ​ ​}{​ 4 ​} ​ ​ ​ = \frac{​ 3 ​ ​}{​ 2 ​}

Slide 26 - Diapositive

5.4 Wortels herleiden

\sqrt ​ 1 ​ ​ ​ \frac{​ 1 ​ ​}{​ 4 ​} = \sqrt ​ \frac{​ 9 ​ ​}{​ 4 ​} ​ ​ ​ = \frac{​ 3 ​ ​}{​ 2 ​}

Slide 27 - Diapositive

Huiswerk:

maken: opdracht 48, 50, 52, 53, 54 (5.4)

5.4 Wortels herleiden

Slide 28 - Diapositive

Slide 29 - Diapositive

5.4 Wortels herleiden (theorie A, B,C)

Éléments de cette leçon

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Slide 16 - Quiz

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