18-Dec-14Created by Mr.Lafferty Math Dept Revising Basic Angles Naming Angles Calculating Missing...

Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Dept

Revising Basic Angles

Naming Angles

ww

w.m

ath

srevis

ion

.com

Calculating Missing angles

Angles in a Triangle

Corresponding Angles

Alternate Angles

AnglesAnglesMTH 3-17a


Starter QuestionsStarter Questions

Q3. Calculate 2.34 + 4.7 + 0.12

Q1. Convert to the 24 hour clock. (a) 7:25 pm (b) 6:50 am

Q2. Write down the type of angle that is less than 90 deg.

Q4. Round the following to nearest 1000.

(a) 12,501 (b) 369,765

ww

w.m

ath

srevis

ion

.com


Learning IntentionLearning Intention Success CriteriaSuccess Criteria

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

1. To revise Type of Angles from Level 2.

ww

w.m

ath

srevis

ion

.com

Type of AnglesType of AnglesMTH 3-17a


Acute less than 90o

Obtuse Between 90o – 180o

Right Angle exactly 90o

reflex over 180o less than 360o

ww

w.m

ath

srevis

ion

.com

Straight Line Angle exactly 180o


HorizontalV

ertica

l


Now try Ch12 (page 146)

Exercise 1

ww

w.m

ath

srevis

ion

.com



Starter QuestionsStarter Questionsw

ww

.math

srevis

ion

.com

Q3. Calculate 5.65 – 1.3

Q1. Convert to the 12 hour clock. (a) 17:15 (b) 05:40

Q2. Write down 2 numbers that add to give 8 andmultiply to give 15.

Q4. Round the following to nearest 100.

(a) 13,551 (b) 369,449

MTH 3-17a



1.1. Remember how to Remember how to name an angle.name an angle.

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

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

ww

w.m

ath

srevis

ion

.com

Naming AnglesNaming AnglesMTH 3-17a


Naming AnglesNaming Anglesw

ww

.math

srevis

ion

.com

A

B C

Type of angle is acute

Name of angle is ∠ ABC

Type of angle is obtuse

Name of angle is ∠ ZYX

X

YZ

MIDDLE LETTER IS ALWAYS WHERE THE ANGLE IS

ALWAYS 3 CAPITAL LETTERS

MTH 3-17a



Exercise 2

ww

w.m

ath

srevis

ion

.com

Naming AnglesNaming AnglesMTH 3-17a


Starter Starter QuestionsQuestions

(a) - 6 - 7 (b) -10 + (-3) (c) - 2 - 12

Q2. Convert to 12 hrs clock

(a) 23 00 hrs (b) 14 23 hrs

Q.3 Solve 5x - 45=70

1. Calculate:

ww

w.m

ath

srevis

ion

.com

MTH 3-17a



1.1. Remember 360Remember 360oo in a circle. in a circle.1. We are learning to

calculate a missing angle.

2.2. Find missing angle given Find missing angle given all other angles.all other angles.

ww

w.m

ath

srevis

ion

.com

Find Missing AnglesFind Missing AnglesMTH 3-17a


120o 95

o

Find Missing Find Missing AngleAngle

ww

w.m

ath

srevis

ion

.com

Angles round a pointalways add up to 360

o

65o

Two angles making astraight line add up to 180

o

(Supplementary angles)

Angles opposite each otherat a cross are equal.

34o 34

o

115o

146o

146o 145o

35o

Two angles making aright angle add up to 90

o

(Complementary angles)

55o

MTH 3-17a

Demo



Exercise 3

ww

w.m

ath

srevis

ion

.com

Find Missing Find Missing AngleAngle


Starter QuestionsStarter Questions

1. Solve the equation 5x- 3=18 (decimal value)

2. Calculate (- 13)+(- 1)- 15

3. Calculate x:

4. Change 790cm into m

5. What is the coordinate C(- 8,- 4) reflected in the x- axis?

ww

w.m

ath

srevis

ion

.com

75o

xo


Sum of Angles in a Sum of Angles in a TriangleTriangle


1.1. Remember all angles in Remember all angles in a triangle add to 180a triangle add to 180oo

..1. We are learning that all

the angles in a triangle sum to 180

o.

2.2. Apply knowledge to Apply knowledge to solve problems.solve problems.

ww

w.m

ath

srevis

ion

.com

MTH 3-17a


To determine the

angle sum of any Triangle

Cut off corners

Cut off corners

Cut off corners

ww

w.m

ath

srevis

ion

.com

MTH 3-17a


Sum of angles in ANY Triangle

All angles in a triangle ALWAYS

added up to180o

180o

ww

w.m

ath

srevis

ion

.com

MTH 3-17a

Demo



ww

w.m

ath

srevis

ion

.comCopy out the following triangles and find the missing angles.

32o

50o

38o

87o

xo

xo x

o

xo

Remember all the angles add up to 180o

MTH 3-17a



Exercise 4 starter at Q3

ww

w.m

ath

srevis

ion

.com


MTH 3-17a



2 16 28 xQ1. Solve the equation below

Q2. Find two numbers that multiply to give 18and subtract to give 3.

Q3. Find the average and range of the numbers below

Q4. Find2,8,8,10

60% of £ 240

ww

w.m

ath

srevis

ion

.com

Apr 11, 2023Apr 11, 2023 Created by Mr.Lafferty Math DeptCreated by Mr.Lafferty Math Deptww

w.m

ath

srevis

ion

.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. To understand the term To understand the term corresponding angles.corresponding angles.

1 We are learning the term corresponding angles.

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

AnglesAnglesCorresponding AnglesMTH 3-17a


Look for

F shapes

ww

w.m

ath

srevis

ion

.com

AnglesAnglesAlternate Angles

= equal angles

MTH 3-17a

Demo


w.m

ath

srevis

ion

.com

AnglesAnglesCorresponding Angles

Which angles are equal?

MTH 3-17a

DEMO


w.m

ath

srevis

ion

.com


Which angles are equal?

MTH 3-17a


w.m

ath

srevis

ion

.com


Which angles are equal to the shaded angle?

MTH 3-17a


w.m

ath

srevis

ion

.com

AnglesAngles

Which angles are equal to

the shaded angle?

MTH 3-17a


look for

shapes

ww

w.m

ath

srevis

ion

.com



120

x120

ww

w.m

ath

srevis

ion

.com

AnglesAngles

What is the value of letter x?

Corresponding AnglesMTH 3-17a


100

a100

ww

w.m

ath

srevis

ion

.com

AnglesAngles

What is the value of letter a?



48

b48

ww

w.m

ath

srevis

ion

.com

AnglesAngles

What is the value of letter b?



110

c110

ww

w.m

ath

srevis

ion

.com

AnglesAngles

What is the value of letter c?



70

a

70

b110

What are the values of letters a and b?

ww

w.m

ath

srevis

ion

.com



115

65115 65 What are the values of

the missing angles?

ww

w.m

ath

srevis

ion

.com



57

123

57

123

What are the values of the missing

angles?

ww

w.m

ath

srevis

ion

.com



What are the values of the missing

angles?

ww

w.m

ath

srevis

ion

.com


115o 140o

65o

65o

115o

40o

40o

140o

75o

MTH 3-17a


Now try Exercise 5 Ch12 (page 154)

ww

w.m

ath

srevis

ion

.com




4 7 9 x

Q1. Solve the equation below

Q2. Find two numbers that multiply to give 48and divide to give 3.

Q3. Find missing angles119o

ao

bo

ww

w.m

ath

srevis

ion

.com

MTH 3-17a


w.m

ath

srevis

ion

.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1. To understand the term alternate angles.

1. We are learning the term alternate angles.

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

AnglesAnglesAlternate AnglesMTH 3-17a


Look for

- Z shapes

ww

w.m

ath

srevis

ion

.com


= equal angles

MTH 3-17a

Demo


35

a35

ww

w.m

ath

srevis

ion

.com


Find the value of a ?

MTH 3-17a


b

43

43

ww

w.m

ath

srevis

ion

.com


Find the value of b ?

MTH 3-17a


33

33c

ww

w.m

ath

srevis

ion

.com


Find the value of c ?

MTH 3-17a


123

d123

ww

w.m

ath

srevis

ion

.com


Find the value of d ?

MTH 3-17a


50

ab130 50

ww

w.m

ath

srevis

ion

.com


Find the value a and b ?

MTH 3-17a


135

c45

d45

ww

w.m

ath

srevis

ion

.com


Find the value of c and d ?

MTH 3-17a

120


60

ab

c120

60

ww

w.m

ath

srevis

ion

.com


Find the value a, b and c ?

MTH 3-17a


Now try Exercise 6 Ch12 (page 157)

ww

w.m

ath

srevis

ion

.com

AnglesAnglesAlternate AnglesMTH 3-17a

18-Dec-14Created by Mr.Lafferty Math Dept Revising Basic Angles Naming Angles Calculating Missing...

Documents

Transcript of 18-Dec-14Created by Mr.Lafferty Math Dept Revising Basic Angles Naming Angles Calculating Missing...