We are learning to:- Enhance Mathematical basic skills knowledge. (Which PLT skills?) -Accurately calculate missing angles involving algebra. (Grades D-C)

Always aim high!LESSON OBJECTIVES

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?

AUTHORWhere are we in

our journey?

Real life cross/curricular

links?www.mistrymaths.co.uk

LEARNING JOURNEY

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT Skills

STARTER

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT SkillsTASK

EXTENSION1)

1)

Calculate the value of the missing angles below:

2) 3) 4)

5) 6) 7)

a65º

b

136º 140º20º

80º

c72º 54º

d

e f

50º

g h

i 160º

45º 20º

j

115º136º

30º54º

65º 65º60º 60º

60º

135º

Calculate the value of the angles below and provide a reason:

a120º 120º

b

70º

70º

c

50º

130º

(a) (b) (c)

ALTERNATE ANGLES ARE EQUAL INTERIOR ANGLES ADD TO 180°

ANGLES AND ALGEBRA

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT Skills

EXAMPLES1) Work out the values of x below:

x

2x - 3

(a) (b)

x3x + 20

(c)

3x - 5

3x4x

450

2x - 3 + x = 90

3x - 3 = 90+ 3 + 3

3x = 93÷ 3 ÷ 3

x = 31°

3x + 20+ x = 180

4x + 20 = 180- 20 - 20

4x = 160÷ 4 ÷ 4

x = 40°

3x - 5 + 4x + 45 + 3x = 360

10x + 40 = 360- 40 - 40

10x = 320÷ 10 ÷ 10

x = 32°

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT SkillsTASK (GRADE D)1)Work out the value of the missing angles below:

ANGLES AND ALGEBRA

(a) (b) (c) (d)

(e) (f) (g) (h)

ANGLES AND ALGEBRA

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT SkillsEXTENSION 1 (GRADE D)

(a) (b) (c)

(d) (e) (f)

1)Work out the value of the missing angles below:

70°

ANGLES AND ALGEBRA

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT SkillsEXTENSION 2 (GRADE C)

(a) (b) (c)1)Work out the value of the missing angles below:

108°

108°

108°

108°108°

5x = 60÷ 5 ÷ 5

x = 12°

51°

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?MINI-PLENARY ACTIVITY

Work out the value of each angle in the quadrilateral below:

ANGLES AND ALGEBRA

4y + 3603y + 2y + y =

10y 360=÷ 10 ÷ 10

y = 36°

36°

72°108°

144°

DISCOVERY

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT Skills

LINK BACK TO OBJECTIVES

- Accurately calculate missing angles involving algebra.

What grade are we

working at?

+ 1052x

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?PLENARY ACTIVITY – EXAM QUESTION (GRADE D)

ANGLES AND ALGEBRA

In the diagram AB is parallel to CD.

Not drawnaccurately

Work out the value of x.

(2 marks)

Work out the value of y.Give a reason for your answer.

(2 marks)

+ x

3x =180+ 105- 105 - 105

x = 25°

=180

3x = 75÷ 3 ÷ 3

(a) (b)

25°

50°

105°

y = 180° - 105° - 25°

y = 50°Alternate angles are equalAngles in a triangle add up to 180°

Draw your brain

What have you learnt?

In your brain, write or draw everything you can remember about accurately calculating angles involving algebra. It can be a skill or a

reflection, or something else that might be prominent in your brain.

What grade are we

working at?

Where are we in our

journey?

.

How well do you understand the task?

I don’t understand

I nearly understand

I fully understand

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

SELF ASSESSMENT

Plenary Activity

www.mistrymaths.co.uk

SELF ASSESSMENT

Plenary Activity

On your post it notes…

Think about how you can improve your

work.

WWW (What Went Well)

EBI (Even Better If)

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

www.mistrymaths.co.uk