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To complete To complete balancing balancing calculations. calculations.

To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

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Page 1: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

To complete To complete balancing balancing

calculations. calculations.

Page 2: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

7 x 10 = 82 – p7 x 10 = 82 – p5 x 4 = 40 – n5 x 4 = 40 – n6 x 7 = 80 - t6 x 7 = 80 - t5 x 5 = 20 + p5 x 5 = 20 + p6 x 6 = 12 x n6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Page 3: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Joanne Smithies Our Lady & St. Gerards RCP

Learning Objective

Page 4: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

The distance The distance around the around the outside of a outside of a

shape is called shape is called the perimeter.the perimeter.

8 cm8 cm

6 cm6 cm

8 cm8 cm

6 cm6 cm

The perimeter of the shape is 8 + 6 + 8 The perimeter of the shape is 8 + 6 + 8 + 6 = 28cm.+ 6 = 28cm.

First we need to find the length of each side by First we need to find the length of each side by counting the squarescounting the squares..

Page 5: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

What is the What is the perimeter perimeter of each of of each of

these these shapes? shapes?

18cm18cm18cm18cm

18cm18cm22cm22cm

26cm26cm

Page 6: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Now find the Now find the perimeter of perimeter of

these shapes. these shapes. They are not They are not

drawn to drawn to scale.scale.

3cm3cm

3cm3cm

3cm3cm

3cm3cm

3cm3cm

3cm3cm

5cm5cm

7cm7cm7cm7cm

3cm3cm

4cm4cm 4cm4cm

4cm4cm 4cm4cm

3cm3cm 3cm3cm

3cm3cm3cm3cm

Perimeter = 18cmPerimeter = 18cm Perimeter = 22cmPerimeter = 22cm Perimeter = 28cmPerimeter = 28cm

Page 7: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

77ccmm

5cm5cm

5cm5cm

33ccmm

33ccmm

33ccmm

3cm3cm 3cm3cm

3cm3cm

Page 8: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

To order Fractions

Page 9: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Learning Objective

Use a protractor to draw and measure acute and obtuse

angles to the nearest degree.

Page 10: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

4251

0011 0010 1010 1101 0001 0100 1011

What are the properties of a protractor??

A protractor

Here is a standard protractor like you use in the classroom.

Page 11: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

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When we use a protractor, we need to line it up

correctly.

You need to make sure the protractor is lined up correctly.

Is this ready to measure the angle?

Page 12: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

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Were you right......................it wasn’t

Look for the upside down ‘T’ in the middle of the straight line on your protractor.

This needs to be exactly on the vertex of your angle.

Page 13: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

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We need to remember.....

It doesn’t matter which way round the angle is, you ALWAYS need to line the upsidedown ‘T’ to the vertexof the angle.

Page 14: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

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0011 0010 1010 1101 0001 0100 1011

Now you are ready.

Read from the 0°, and follow the inner set of numbers.

Page 15: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

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Once you reach 30° you need to be careful!!!

You then need to look at the 1° markings on the outer set of numbers.

Page 16: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

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What does it measure?

This angle measures 35°.

Page 17: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

4251

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What does it measure?

This angle measures......

Page 18: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

4251

0011 0010 1010 1101 0001 0100 1011

What does it measure?

This angle measures......

Page 19: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

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0011 0010 1010 1101 0001 0100 1011

Mr Obtuse Angle

This is Obtuse. He’s the husband of the family. He’s bigger than Right and Acute . He’s always inside, and he always measures between 90° and 180° (depending on how much dinner he’s eaten!)

Page 20: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

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Mrs. Right Angle

This is me. I’m Mrs. Right Angle. I always measure 90°, my favourite shape is a square, and whats more, no matter what my husband tells you, I’m always right!

Page 21: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

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Baby Acute AngleThis is baby Acute angle. Isn’t he cute?! He loves a hug, and always has his arms out for cuddles! He’s the smallest of the family, measuring less than 90°.

Page 22: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

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Reflex AngleThis is our pet dog, Reflex. He’s always outside. He’s only a pup at the moment so he measures 180°, but he can grow up to 360 °! So he’s definitely the biggest angle. You’ll never see him without that ball in his mouth either, horrid thing!

Page 23: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

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So, now you’ve met us, let’s see how well you

know us...Who am I?

I’m the smallest angle

I always measure less than 90°

I’m very cute!

Page 24: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

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I’m....

Page 25: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

4251

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Who am I?

I’m the biggest angle

I’m always outside

I can measure between 180° and 360°

Page 26: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

4251

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I’m...

Reflex Angle

Page 27: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

4251

0011 0010 1010 1101 0001 0100 1011

Who am I?

I’m always inside

I always measure between 90° and 180 °

I’m bigger than Right and Acute

Page 28: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

4251

0011 0010 1010 1101 0001 0100 1011

I’m...

Page 29: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

4251

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Who’s left?

Page 30: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

YOUR TASK!

1. Draw an angle2. Estimate it’s size in

degrees3. Measure4. Write what type of

angle it is

Page 31: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

To order Fractions, Decimals and Percentages.

Page 32: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Learning Objective

Measure and calculate angles at a

point.

Page 33: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

HOW MANY RIGHT ANGLES IN A CIRCLE?

90°

HOW MANY DEGREES IN A CIRCLE?

HOW MANY DEGREES IN A STRAIGHT LINE?

Page 34: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

WHAT ARE THESE ANGLES?

A120 °

Page 35: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

CALCULATE THE MISSING REFLEX

ANGLE

47°

313°

Page 36: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

CALCULATE THE MISSING STRAIGHT

LINE ANGLE

69° 111°

Page 37: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

CALCULATE THE MISSING REFLEX

ANGLE

126°

234°

Page 38: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

CALCULATE THE MISSING STRAIGHT

LINE ANGLE

42°

103°35°

Page 39: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Learning Objective

Calculate angles in a triangle.

Page 40: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

PROPERTY OF TRIANGLES

The sum of all the angles equals 180º degrees. 60º

60º60º+

180º60º 60º60º

Page 41: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

WHAT IS THE MISSING ANGLE?

70º70º

?+180º70º 70º

?

Page 42: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

WHAT IS THE MISSING ANGLE?

90º30º

?+180º30º 90º

?

Page 43: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

WHAT IS THE MISSING ANGLE?

60º60º

?+180º60º 60º

?

Page 44: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

WHAT IS THE MISSING ANGLE?

30º78º

?+180º

78º 30º

?

Page 45: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

WHAT IS THE MISSING ANGLE?

40º40º

?+180º

40º 40º

?

Page 46: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Equilateral Triangle

All 3 Sides are equal in Length

All 3 interior angles are the same

Page 47: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Isosceles Triangle

Two Sides of equal Length

Two interior angles are the same

Page 48: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Scalene Triangle

No Sides of equal Length

All interior angles are different

Page 49: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Right-Angled Triangles

They have an Interior angle of 90 degrees

Right-Angled Triangles can be either Isosceles or scalene triangles

Scalene Right Angled Triangle Isosceles Right Angled Triangle

Page 50: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Learning Objective

Calculate angles in a triangle.

Page 51: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

?

reflex right

acute obtuse

Page 52: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

?

reflex right

acute obtuse

Page 53: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

?

reflex right

acute obtuse

Page 54: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

?

reflex right

acute obtuse

Page 55: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

?

reflex right

acute obtuse

Page 56: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

?

reflex right

acute obtuse

Page 57: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

?

reflex right

acute obtuse

Page 58: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

L.O angles quiz

?

reflex right

acute obtuse

Page 59: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

?

reflex right

acute obtuse

Page 60: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

?

reflex right

acute obtuse

Page 61: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

L.O angles quiz

?

reflex right

acute obtuse

Page 62: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

?

reflex right

acute obtuse

Page 63: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

?

reflex right

acute obtuse

Page 64: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

?

reflex right

acute obtuse

Page 65: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

?

reflex right

acute obtuse

Page 66: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

WHAT IS THE MISSING ANGLE?

60º 60º

?

Page 67: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

WHAT IS THE MISSING ANGLE?

25º 95º

?

Page 68: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

WHAT IS THE MISSING ANGLE?

65º 65º?

Page 69: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

WHAT IS THE MISSING ANGLE?

74º 40º

?

Page 70: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

WHAT IS THE MISSING ANGLE?

40º 40º

?

Page 71: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Learning Objective

Page 72: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Out of the 100 small squares Out of the 100 small squares how many are coloured?how many are coloured?

5050

So 50 in every So 50 in every 100 are 100 are

coloured.coloured.

We can call We can call thisthis

50%50%

What is this as a fraction?

Page 73: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Out of the 100 small squares Out of the 100 small squares how many are coloured?how many are coloured?

1010

So 10 in every So 10 in every 100 are 100 are

coloured.coloured.

We can call We can call thisthis

10%10%

What is this as a fraction?

Page 74: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Out of the 100 small squares Out of the 100 small squares how many are coloured?how many are coloured?

55

So 5 in every So 5 in every 100 are 100 are

coloured.coloured.

We can call We can call thisthis

5%5%

What is this as a fraction?

Page 75: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Out of the 100 small squares Out of the 100 small squares how many are coloured?how many are coloured?

3030

So 30 in every So 30 in every 100 are 100 are

coloured.coloured.

We can call We can call thisthis

30%30%

What is this as a fraction?

Page 76: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

Out of the 100 small squares how many are coloured?

83

So 83 in every 100 are

coloured.

We can call this

83%

What is this as a fraction?

Page 77: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

1)1) 2)2)

4)4)3)3)

Now try these on you own

Page 78: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

PERCENTAGES OF NUMBERS

Sometimes we may want to Sometimes we may want to find out a percentage of a find out a percentage of a number. For example if a it number. For example if a it was 10% off all clothes in a was 10% off all clothes in a store you would want to store you would want to know how much money was know how much money was being taken off!being taken off!

Page 79: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

PERCENTAGES OF NUMBERS

If we want to find 10% of a If we want to find 10% of a number we simply divide the number we simply divide the number by 10….number by 10….

10% of 45 = 4.510% of 45 = 4.5

Page 80: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

PERCENTAGES OF NUMBERS

Can you find 10% of the Can you find 10% of the following numbers on your following numbers on your mini whiteboards – mini whiteboards –

3434 9595 321321 5353 78437843

Page 81: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

PERCENTAGES OF NUMBERS

Can you find 10% of the Can you find 10% of the following prices on your mini following prices on your mini whiteboards – don’t forget whiteboards – don’t forget to write in units!to write in units!

£10.00£10.00 £3.50£3.50 £15£15£45£45

Page 82: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

PERCENTAGES OF NUMBERS

Now that we know how to Now that we know how to find 10% of a number how find 10% of a number how can we find…can we find…20%20%40%40%25%25%

Page 83: To complete balancing calculations. 7 x 10 = 82 – p 5 x 4 = 40 – n 6 x 7 = 80 - t 5 x 5 = 20 + p 6 x 6 = 12 x n 5 + 24 = 65 – n 5 + 24 = 65 – n

PERCENTAGES OF NUMBERS

Sometimes we might want to Sometimes we might want to find a percentage of a find a percentage of a number where we need to number where we need to know what 1% of the know what 1% of the number is. For example 3% number is. For example 3% of 20. To do this we would of 20. To do this we would divide 20 by 100 to get 1% divide 20 by 100 to get 1% and times this by 3 to find and times this by 3 to find 3%3%