Simplification

14.5 Simplification

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This lesson contains 18 slides, with interactive quizzes and text slides.

Items in this lesson

14.5 Simplification

You need your Ipad and notebook

Slide 1 - Slide

\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 - Quiz

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

timer

0:30

\frac{​ 2 ​ ​}{​ 3 ​}

\frac{​ 5 ​ ​}{​ 9 ​}

\frac{​ 6 ​ ​}{​ 9 ​}

\frac{​ 2 ​ ​}{​ 2 7 ​}

Slide 3 - Quiz

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

timer

0:30

\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 - Slide

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 - Slide

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

timer

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 - Quiz

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

Slide 8 - Slide

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

timer

2:30

Slide 9 - Slide

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

timer

0:30

\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 - Slide

Second part

Go back to LessonUp

Slide 12 - Slide

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 ​}

timer

2:30

Slide 13 - Slide

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

timer

0:30

8 \sqrt ​ 21 ​ ​ ​

6 \sqrt ​ 10 ​ ​ ​

8 \sqrt ​ 10 ​ ​ ​

kan niet korter

Slide 14 - Quiz

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

timer

0:30

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 ​ ​ ​

timer

2:30

Slide 16 - Slide

Simplify the root

\sqrt ​ 600 ​ ​ ​

Slide 17 - Slide

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 - Slide

Simplification

Items in this lesson

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Slide 2 - Quiz

Slide 3 - Quiz

Slide 4 - Quiz

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Slide 7 - Quiz

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