An angle is a measurement of turn It tells us the amount of turn … · 2016-09-29 · The angles...

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An angle is a measurement of turn. It tells us the amount of turn from one position to another. www.teachingpacks.co.uk Images: © ThinkStock ©

Transcript of An angle is a measurement of turn It tells us the amount of turn … · 2016-09-29 · The angles...

Page 1: An angle is a measurement of turn It tells us the amount of turn … · 2016-09-29 · The angles inside a triangle always add up to 180 ¼. 70o 70o 40o 60o 90o 30o 30o 107o 43o 40o

An angle is a measurement of turn.It tells us the amount of turn

from one position to another.

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Page 2: An angle is a measurement of turn It tells us the amount of turn … · 2016-09-29 · The angles inside a triangle always add up to 180 ¼. 70o 70o 40o 60o 90o 30o 30o 107o 43o 40o

Some angles have special names that you need to remember.

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Whole Turn(360º)

Straight Line(or straight angle)

(180º)

Right Angle(90º)

Acute Angle(less than 90º)

Obtuse Angle(between 90º and 180º)

Reflex Angle(more than 180º)

You can use these to estimate the size of unknown angles.

Page 3: An angle is a measurement of turn It tells us the amount of turn … · 2016-09-29 · The angles inside a triangle always add up to 180 ¼. 70o 70o 40o 60o 90o 30o 30o 107o 43o 40o

We can use a protractor to measure the size of an angle.It can be helpful to make a sensible estimate first.

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32

41

2

3

4

This angle is acute. My estimate is 70º.

Place the cross of the protractor on top of the corner of the angle.

Line up the bottom line of the protractor with one of the lines of the angle.

Starting at 0º, count up to the angle’s other line and read the measurement.This angle is 67º.

Did you notice that the protractor has two scales?Remember to start counting at the correct 0º.

When you are reading the

measurement, check that your

protractor hasn’t moved!

Page 4: An angle is a measurement of turn It tells us the amount of turn … · 2016-09-29 · The angles inside a triangle always add up to 180 ¼. 70o 70o 40o 60o 90o 30o 30o 107o 43o 40o

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The angles inside a triangle always add up to 180º.

70o 70o

40o

60o90o

30o

30o

107o

43o

40o + 70o + 70o = 180o 30o + 90o + 60o = 180o 30o + 107o + 43o = 180o

If you know two of the angles inside a triangle,you can use this fact to calculate the third angle...

... and if the triangle is an isosceles triangle, you can calculate the other angles if you only know one of them!

Page 5: An angle is a measurement of turn It tells us the amount of turn … · 2016-09-29 · The angles inside a triangle always add up to 180 ¼. 70o 70o 40o 60o 90o 30o 30o 107o 43o 40o

1. 2.

3. 4.

5. 6.

7. 8.

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Page 6: An angle is a measurement of turn It tells us the amount of turn … · 2016-09-29 · The angles inside a triangle always add up to 180 ¼. 70o 70o 40o 60o 90o 30o 30o 107o 43o 40o

1.

Right

2.

Acute3.

Obtuse

4.

Acute5.

Obtuse

6.

Acute7.

Obtuse

8.

Obtuse

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AAnswers

Page 7: An angle is a measurement of turn It tells us the amount of turn … · 2016-09-29 · The angles inside a triangle always add up to 180 ¼. 70o 70o 40o 60o 90o 30o 30o 107o 43o 40o

1degrees Acute

5degrees Acute

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Page 8: An angle is a measurement of turn It tells us the amount of turn … · 2016-09-29 · The angles inside a triangle always add up to 180 ¼. 70o 70o 40o 60o 90o 30o 30o 107o 43o 40o

12degrees Acute

15degrees Acute

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Page 9: An angle is a measurement of turn It tells us the amount of turn … · 2016-09-29 · The angles inside a triangle always add up to 180 ¼. 70o 70o 40o 60o 90o 30o 30o 107o 43o 40o

25degrees Acute

32degrees Acute

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Page 10: An angle is a measurement of turn It tells us the amount of turn … · 2016-09-29 · The angles inside a triangle always add up to 180 ¼. 70o 70o 40o 60o 90o 30o 30o 107o 43o 40o

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Page 11: An angle is a measurement of turn It tells us the amount of turn … · 2016-09-29 · The angles inside a triangle always add up to 180 ¼. 70o 70o 40o 60o 90o 30o 30o 107o 43o 40o

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