Simplification

14.5 Simplification

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14.5 Simplification

You need your Ipad and notebook

Slide 1 - Tekstslide

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

timer

0:30

\frac{​ 7 ​ ​}{​ 2 0 ​}

\frac{​ 7 ​ ​}{​ 1 5 ​}

\frac{​ 1 3 ​ ​}{​ 1 5 ​}

\frac{​ 6 5 ​ ​}{​ 7 5 ​}

Slide 2 - Quizvraag

\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 - Quizvraag

\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 - Quizvraag

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 - Tekstslide

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 ​}

timer

2:30

Slide 6 - Tekstslide

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

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1:00

\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 - Quizvraag

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

Slide 8 - Tekstslide

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 - Tekstslide

\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 - Quizvraag

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 - Tekstslide

Second part

Go back to LessonUp

Slide 12 - Tekstslide

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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2:30

Slide 13 - Tekstslide

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 - Quizvraag

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

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2

3

\sqrt ​ 4 ​ ​ ​

\sqrt ​ 9 ​ ​ ​

Slide 15 - Quizvraag

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 - Tekstslide

Simplify the root

\sqrt ​ 600 ​ ​ ​

Slide 17 - Tekstslide

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 - Tekstslide

Simplification

Onderdelen in deze les

Slide 1 - Tekstslide

Slide 2 - Quizvraag

Slide 3 - Quizvraag

Slide 4 - Quizvraag

Slide 5 - Tekstslide

Slide 6 - Tekstslide

Slide 7 - Quizvraag

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Slide 10 - Quizvraag

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Slide 14 - Quizvraag

Slide 15 - Quizvraag

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