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# angles - PowerPoint PPT Presentation

Angles. MTH 3-17a. Revising Basic Angles. Naming Angles. Calculating Missing angles. Angles in a Triangle. www.mathsrevision.com. Corresponding Angles. Alternate Angles. Starter Questions. Q1. Convert to the 24 hour clock. (b) 6:50 am. (a) 7:25 pm. Q2. Write down the type of angle

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MTH 3-17a

Revising Basic Angles

Naming Angles

Calculating Missing angles

Angles in a Triangle

www.mathsrevision.com

Corresponding Angles

Alternate Angles

Created by Mr.Lafferty Math Dept

Q1. Convert to the 24 hour clock.

(b) 6:50 am

(a) 7:25 pm

Q2. Write down the type of angle

that is less than 90 deg.

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Q3. Calculate 2.34 + 4.7 + 0.12

Q4. Round the following to nearest 1000.

(a) 12,501

(b) 369,765

Created by Mr.Lafferty Math Dept

MTH 3-17a

Learning Intention

Success Criteria

• To be able to identify acute, right-angle, obtuse, straight line and reflex angles.

• To revise Type of Angles from Level 2.

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Horizontal

Type of Angles

MTH 3-17a

Acute

less than 90o

Obtuse

Between 90o – 180o

Right Angle

exactly 90o

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Straight Line Angle

exactly 180o

reflex

over 180o less than 360o

Created by Mr.Lafferty Math Dept

MTH 3-17a

Now try

Ch12 (page 146)

Exercise 1

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MTH 3-17a

Q1. Convert to the 12 hour clock.

(b) 05:40

(a) 17:15

Q2. Write down 2 numbers that add to give 8 and

multiply to give 15.

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Q3. Calculate 5.65 – 1.3

Q4. Round the following to nearest 100.

(a) 13,551

(b) 369,449

Created by Mr.Lafferty Math Dept

MTH 3-17a

Learning Intention

Success Criteria

• Remember how to name an angle.

• We are learning how we name angles by THREE capital letters with the angle sign.

• Understand the difference between the type of angle and the name of an angle.

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MTH 3-17a

A

X

Y

B

Z

C

Type of angle is acute

Type of angle is obtuse

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Name of angle is ∠ ABC

Name of angle is ∠ ZYX

MIDDLE LETTER IS ALWAYS WHERE THE ANGLE IS

ALWAYS 3 CAPITAL LETTERS

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MTH 3-17a

Now try

Ch12 (page 147)

Exercise 2

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### Starter Questions

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MTH 3-17a

Learning Intention

Success Criteria

• We are learning to calculate a missing angle.

• Remember 360oin a circle.

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• Find missing angle given all other angles.

Created by Mr.Lafferty Math Dept

65o

35o

95o

120o

34o

34o

MTH 3-17a

55o

115o

DEMO

Two angles making a

right angle add up to 90o

(Complementary angles)

Two angles making a

straight line add up to 180o

(Supplementary angles)

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146o

145o

146o

Angles round a point

Angles opposite each other

at a cross are equal.

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Now try

Ch12 (page 149)

Exercise 3

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xo

75o

### Starter Questions

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### Sum of Angles in a Triangle

Learning Intention

Success Criteria

• Remember all angles in a triangle add to 180o.

• We are learning that all the angles in a triangle sum to 180o.

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• Apply knowledge to solve problems.

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angle sum of any Triangle

MTH 3-17a

Cut off corners 

Cut off corners 

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Cut off corners 

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ALWAYS

Sum of angles in ANY Triangle

MTH 3-17a

DEMO

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180o

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38o

50o

MTH 3-17a

### Sum of Angles in a Triangle

Copy out the following triangles and find the missing angles.

xo

87o

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xo

32o

xo

xo

Remember all the angles add up to 180o

Created by Mr.Lafferty Math Dept

MTH 3-17a

Now try

Ch12 (page 151)

Exercise 4

starter at Q3

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Q1. Solve the equation below

Q2. Find two numbers that multiply to give 18

and subtract to give 3.

Q3. Find the average and range of the numbers below

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2,8,8,10

Q4. Find

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Corresponding Angles

MTH 3-17a

Learning Intention

Success Criteria

• To understand the term corresponding angles.

• 1 We are learning the term corresponding angles.

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2. To be able to apply property to solve problems.

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Alternate Angles

MTH 3-17a

DEMO

Look for

F shapes

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= equal angles

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Corresponding Angles

MTH 3-17a

DEMO

Which angles are equal?

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Corresponding Angles

MTH 3-17a

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Which angles are equal?

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Corresponding Angles

MTH 3-17a

Which angles are equal to the shaded angle?

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MTH 3-17a

Which angles are equal to the shaded angle?

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Corresponding Angles

MTH 3-17a

look for

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shapes

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Corresponding Angles

MTH 3-17a

What is the value of letter x?

120

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120

x

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Corresponding Angles

MTH 3-17a

100

What is the value of letter a?

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100

a

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Corresponding Angles

MTH 3-17a

b

48

48

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What is the value of letter b?

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Corresponding Angles

MTH 3-17a

What is the value of letter c?

110

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110

c

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Angles

Corresponding Angles

MTH 3-17a

70

What are the values of letters a and b?

b

110

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a

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65

115

Angles

Corresponding Angles

MTH 3-17a

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What are the values of

the missing angles?

115

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Angles

Corresponding Angles

123

MTH 3-17a

57

What are the values of the missing angles?

123

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Corresponding Angles

MTH 3-17a

What are the values of the missing angles?

75o

65o

40o

115o

140o

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65o

40o

115o

140o

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Corresponding Angles

MTH 3-17a

Now try Exercise 5 Ch12 (page 154)

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MTH 3-17a

Q1. Solve the equation below

Q2. Find two numbers that multiply to give 48

and divide to give 3.

119o

Q3. Find missing angles

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bo

ao

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Alternate Angles

MTH 3-17a

Learning Intention

Success Criteria

• To understand the term alternate angles.

• 1. We are learning the term alternate angles.

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2. To be able to apply property to solve problems.

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Alternate Angles

MTH 3-17a

DEMO

Look for

- Z shapes

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= equal angles

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Alternate Angles

MTH 3-17a

Find the value of a ?

35

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a

35

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Alternate Angles

MTH 3-17a

b

43

Find the value of b ?

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43

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Alternate Angles

MTH 3-17a

Find the value of c ?

33

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c

33

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Alternate Angles

MTH 3-17a

123

Find the value of d ?

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d

123

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Alternate Angles

MTH 3-17a

50

Find the value

a and b ?

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130

b

a

50

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Alternate Angles

MTH 3-17a

135

Find the value

of c and d ?

c

45

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45

d

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Alternate Angles

MTH 3-17a

60

c

120

Find the value

a, b and c ?

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60

a

b

120

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Alternate Angles

MTH 3-17a

Now try Exercise 6 Ch12 (page 157)

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