Simplification

14.5 Simplification

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Slide 1: Diapositive

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Cette leçon contient 18 diapositives, avec quiz interactifs et diapositives de texte.

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14.5 Simplification

You need your Ipad and notebook

Slide 1 - Diapositive

\frac{​ 3 ​ ​}{​ 5 ​} + \frac{​ 4 ​ ​}{​ 1 5 ​} =

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\frac{​ 7 ​ ​}{​ 2 0 ​}

\frac{​ 7 ​ ​}{​ 1 5 ​}

\frac{​ 1 3 ​ ​}{​ 1 5 ​}

\frac{​ 6 5 ​ ​}{​ 7 5 ​}

Slide 2 - Quiz

\frac{​ 1 ​ ​}{​ 3 ​} \cdot \frac{​ 2 ​ ​}{​ 9 ​} =

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\frac{​ 2 ​ ​}{​ 3 ​}

\frac{​ 5 ​ ​}{​ 9 ​}

\frac{​ 6 ​ ​}{​ 9 ​}

\frac{​ 2 ​ ​}{​ 2 7 ​}

Slide 3 - Quiz

\frac{​ 4 ​ ​}{​ 5 ​} : \frac{​ 5 ​ ​}{​ 6 ​} =

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\frac{​ 2 ​ ​}{​ 3 ​}

1 \frac{​ 1 ​ ​}{​ 2 4 ​}

\frac{​ 2 4 ​ ​}{​ 2 5 ​}

\frac{​ 2 0 ​ ​}{​ 3 0 ​}

Slide 4 - Quiz

Today

Start (5 min)
New subject (15 min)
Exercises on paper (20 min)
New subject (15 min)
Exercises on paper (20 min)
End lesson (5 min)

Slide 5 - Diapositive

Adding and substraction fractions

The denominators should be the same

\frac{​ a ​ ​}{​ 3 ​} + \frac{​ 5 a ​ ​}{​ 6 ​} = \frac{​ 2 a ​ ​}{​ 6 ​} + \frac{​ 5 a ​ ​}{​ 6 ​} = \frac{​ 7 a ​ ​}{​ 6 ​}

\frac{​ 5 ​ ​}{​ p ​} - \frac{​ 3 ​ ​}{​ q ​} = \frac{​ 5 q ​ ​}{​ p q ​} - \frac{​ 3 p ​ ​}{​ p q ​} = \frac{​ 5 q - 3 p ​ ​}{​ p q ​}

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Slide 6 - Diapositive

\frac{​ 8 ​ ​}{​ a ​} + \frac{​ 3 ​ ​}{​ b ​} =

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\frac{​ 1 1 ​ ​}{​ a b ​}

\frac{​ 8 a + 3 b ​ ​}{​ a b ​}

\frac{​ 8 b + 3 a ​ ​}{​ a b ​}

\frac{​ 2 4 ​ ​}{​ a b ​}

Slide 7 - Quiz

\frac{​ 8 ​ ​}{​ a ​} + \frac{​ 3 ​ ​}{​ b ​} =

Slide 8 - Diapositive

Multiplying and dividing fractions

\frac{​ 7 ​ ​}{​ x ​} \cdot \frac{​ 4 x ^{​ 6 ​ ​} ​ ​}{​ 9 ​} = \frac{​ 2 8 x ^{​ 6 ​ ​} ​ ​}{​ 9 x ​} = \frac{​ 2 8 x ^{​ 5 ​ ​} ​ ​}{​ 9 ​}

\frac{​ 9 ​ ​}{​ y ​} : \frac{​ 2 ​ ​}{​ z ​} = \frac{​ 9 ​ ​}{​ y ​} \cdot \frac{​ z ​ ​}{​ 2 ​} = \frac{​ 9 z ​ ​}{​ 2 y ​}

\frac{​ ( \frac{​ 4 ​ ​}{​ x ​} ) ​ ​}{​ 7 ​} = \frac{​ 4 ​ ​}{​ 7 x ​}

\frac{​ 6 ​ ​}{​ ( \frac{​ 5 ​ ​}{​ y ​} ) ​} = 6 \cdot \frac{​ y ​ ​}{​ 5 ​} = \frac{​ 6 y ​ ​}{​ 5 ​} = 1 \frac{​ 1 ​ ​}{​ 5 ​} y

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Slide 9 - Diapositive

\frac{​ 6 ​ ​}{​ y ​} \cdot \frac{​ 2 x ​ ​}{​ 5 ​} =

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\frac{​ 1 2 x ​ ​}{​ 5 y ​}

\frac{​ 3 0 ​ ​}{​ 2 x y ​}

\frac{​ 2 x y ​ ​}{​ 3 0 ​}

\frac{​ 5 y ​ ​}{​ 1 2 x ​}

Slide 10 - Quiz

Recap 14.5

Questions on paper
Until 10:45
Raise your finger if you have any questions or when you're finished
You can find the answers in classroom

Slide 11 - Diapositive

Second part

Go back to LessonUp

Slide 12 - Diapositive

Algabraic calculations with roots

4 \sqrt ​ 2 ​ ​ ​ + 8 \sqrt ​ 7 ​ ​ ​ + 5 \sqrt ​ 2 ​ ​ ​ = 9 \sqrt ​ 2 ​ ​ ​ + 8 \sqrt ​ 7 ​ ​ ​

\frac{​ 8 \sqrt ​ 5 0 ​ ​ ​ ​ ​}{​ 2 \sqrt ​ 2 ​ ​ ​ ​} = 4 \sqrt ​ 25 ​ ​ ​ = 4 \cdot 5 = 20

- 4 \sqrt ​ 7 ​ ​ ​ \cdot 5 \sqrt ​ 2 ​ ​ ​ = - 20 \sqrt ​ 14 ​ ​ ​

\sqrt ​ 1 \frac{​ 1 1 ​ ​}{​ 2 5 ​} ​ ​ ​ = \sqrt ​ \frac{​ 3 6 ​ ​}{​ 2 5 ​} ​ ​ ​ = \frac{​ 6 ​ ​}{​ 5 ​} = 1 \frac{​ 1 ​ ​}{​ 5 ​}

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Slide 13 - Diapositive

2 \sqrt ​ 3 ​ ​ ​ \cdot 4 \sqrt ​ 7 ​ ​ ​ =

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8 \sqrt ​ 21 ​ ​ ​

6 \sqrt ​ 10 ​ ​ ​

8 \sqrt ​ 10 ​ ​ ​

kan niet korter

Slide 14 - Quiz

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

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2

3

\sqrt ​ 4 ​ ​ ​

\sqrt ​ 9 ​ ​ ​

Slide 15 - Quiz

Simplifying a root

The goal of simplifying a root, is to make the number underneath the root as small as possible. To do this, you make a multiplication where one of the roots is a square.

For example:

\sqrt ​ 72 ​ ​ ​ = \sqrt ​ 36 ​ ​ ​ \cdot \sqrt ​ 2 ​ ​ ​ = 6 \sqrt ​ 2 ​ ​ ​

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2:30

Slide 16 - Diapositive

Simplify the root

\sqrt ​ 600 ​ ​ ​

Slide 17 - Diapositive

Recap 14.5

Questions on paper
Until the end of the lesson
Raise your finger if you have any questions or when you're finished
You can find the answers in classroom

Slide 18 - Diapositive

Simplification

Éléments de cette leçon

Slide 1 - Diapositive

Slide 2 - Quiz

Slide 3 - Quiz

Slide 4 - Quiz

Slide 5 - Diapositive

Slide 6 - Diapositive

Slide 7 - Quiz

Slide 8 - Diapositive

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Slide 10 - Quiz

Slide 11 - Diapositive

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Slide 14 - Quiz

Slide 15 - Quiz

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Slide 18 - Diapositive

Plus de leçons comme celle-ci

Simplification

Equal fractions and simplifying/comparing fractions

3TH / VWO §9.1/§9.4 Calculating with fractions

1.4 B simplifying square roots

1TTO §8.4 Adding and subtracting fractions

1TTO §8.5 multiplying fractions

2.3 Fractions

§1.2 Simplifying Fractions