We are learning to:- Enhance our Mathematical learning skills. (Which Enterprise skills?) -Accurately identify and find alternate and corresponding angles. (Level 6)

Always aim high!LESSON OBJECTIVES

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise SkillsWhich ones are you

using?

AUTHORWhere are we in

our journey?

Real life cross/curricular

links?www.mistrymaths.co.uk

LEARNING JOURNEY

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

BRAIN IN GEAR

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

Work out the following Mathematical anagrams:

TASK

EXTENSION

Develop your own Mathematical anagrams as above as a creative entrepreneur.

LEAPRALL

CATUE

BESTOU

EXAMPLEDITDIONA can be rearranged to make ADDITION

Parallel

Acute

Obtuse

STARTER

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

EXTENSION

TASK

1)

Work out the missing angles below:

1)20° b

c 2)d 35°

Vertically opposite angles are equal

20°

Angles on a straight line add to 180°

160°

Angles on a straight line add to 180°

145°3)

135°

115°

f

Angles around point add to 360°

110°4)

110°85°

80°i

Angles in a quadrilateral add to 360°

85°

Work out the missing angles below:

gh

30°

73°

Angles in a triangle add to 180°

77°Angles on a straight line

add to 180°103°

2)

44°

82°

j

kVertically opposite angles

are equal

44° 90°Angles in a quadrilateral

add to 360°

144°

INTRODUCTION

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

Parallel Lines Lines which are an equal distance apart and never meet. Arrows move in the same direction.

These lines are parallel

This line is called a transversal

INTRODUCTION

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?TASK – INVESTIGATION

In groups, discuss and find connections between the different angles below as positive thinkers and creative entrepreneurs.

a b

c d

e f

g h

Apart from vertically opposite angles being

equal, angles on a straight line adding to 180° and angles around a point

adding to 360°, you also need to learn that alternate

angles are the same and corresponding angles are

the same

c = f because of alternate angles

(Z-shaped)

d = e because of alternate angles

(Z-shaped)

INTRODUCTION

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?TASK – INVESTIGATION

In groups, discuss and find connections between the different angles below as positive thinkers and creative entrepreneurs.

a b

c d

e f

g h

d = h because of corresponding

angles (F-shaped)

c = g because of corresponding

angles (F-shaped)

INTRODUCTION

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?TASK – INVESTIGATION

In groups, discuss and find connections between the different angles below as positive thinkers and creative entrepreneurs.

a b

c d

e f

g h

b = f because of corresponding

angles (F-shaped)

a = e because of corresponding

angles (F-shaped)

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT SkillsPARALLEL LINES AND ANGLES

SAME

SA

ME

ALTERNATE ANGLES (Z – shaped)

SAME

SAME

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner Which ones are you

using?PLT SkillsPARALLEL LINES AND ANGLES

CORRESPONDING ANGLES(F – shaped)

SAME SAME

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT SkillsWhich ones are you

using?PARALLEL LINES AND ANGLES

EXAMPLES

(a)

Calculate the missing angles and give reasons why.

ALTERNATE CORRESPONDING

60º

a

b

(b) (c)

30º

c

d

e

38º

142ºf g

h

a = 60º(Corresponding angles)

b = 120º(Angles on a straight line)

c = 30º(Alternate angles)

d =

150º(Angles on a straight line)

e =

150º(Vertically opposite angles)

f = 38º(Alternate angles)

g = 38º(Angles on a straight line)

h = 104º(Angles in a triangle)

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT Skills

Which ones are you using?

TASK 1 (LEVEL 6)

PARALLEL LINES AND ANGLES

Work out the size of the lettered angles and give reasons why.1)

(a) (b) (c)

(d) (e) (f)

70°

Alternate Angles

125°

Corresponding Angles

160°

48°

75°

57°

Alternate Angles

Corresponding Angles Alternate Angles Corresponding Angles

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT Skills

Which ones are you using?

TASK 2 (LEVEL 6)

1)

PARALLEL LINES AND ANGLES

Calculate the missing angles and state reasons why.

2) 3) 4)

5) 6) 7) 8)

9) 10) 11) 12)

a120º

b

70º

d

47ºc

50º

ef

42º g

h

68º

111º

i

j37ºk

l

m

o

p

105ºq

r

s

t

134º 150º

u

v

w

x

z

147º

147ºy

120º

70º

130º

47º

42º

138º112º

68º

111º

69º37º

143º

37º

105º

75º134º

46º

134º

30º30º

150º

30º

147º

147º

Effective Participator

Self Manager

Independent Enquirer

Creative Thinker

Team Worker

Reflective Learner

PLT Skills

Which ones are you using?

EXTENSION (LEVEL 6)

PARALLEL LINES AND ANGLES

Work out the size of the lettered angles

1) 2) 3)

4) 5)

75º85º

42º

90º65º

115º

65º115º

33º

147º

98º98º

118º

118º83º

35º

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?MINI-PLENARY ACTIVITY

STAND UP → TRUE SIT DOWN → FALSE

PARALLEL LINES AND ANGLES

43°

43°

Corresponding angles are equal

REASON

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?MINI-PLENARY ACTIVITY

STAND UP → TRUE SIT DOWN → FALSE

PARALLEL LINES AND ANGLES

123°Corresponding

angles are equal

REASON

123°

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?MINI-PLENARY ACTIVITY

STAND UP → TRUE SIT DOWN → FALSE

PARALLEL LINES AND ANGLES

135°

135°Alternate angles are

equal

REASON

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?MINI-PLENARY ACTIVITY

STAND UP → TRUE SIT DOWN → FALSE

PARALLEL LINES AND ANGLES

135°

45°Corresponding

angles

REASON

Interior angles (C – shaped) add up to 180°

DISCOVERY

LINK BACK TO OBJECTIVES

- Accurately identify and find alternate and corresponding angles.

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

What level are we

working at?

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

PLENARY ACTIVITY - BOYS VERSUS GIRLS BALL PIT RACE

Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team.

BOYS BALL PIT GIRLS BALL PIT

56°

PARALLEL LINES AND ANGLES

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

PLENARY ACTIVITY - BOYS VERSUS GIRLS BALL PIT RACE

Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team.

BOYS BALL PIT GIRLS BALL PIT

100°

PARALLEL LINES AND ANGLES

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

PLENARY ACTIVITY - BOYS VERSUS GIRLS BALL PIT RACE

Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team.

BOYS BALL PIT GIRLS BALL PIT

91°

PARALLEL LINES AND ANGLES

Creative Entrepreneur

Responsible Citizen

Independent Learner

Positive Thinker

Team Worker

Reflective Learner

Enterprise Skills Which ones are you using?

PLENARY ACTIVITY - BOYS VERSUS GIRLS BALL PIT RACE

Find the correct answer in the ball pit. Whomever finds the answer ball first wins a point for their team.

BOYS BALL PIT GIRLS BALL PIT

72°

PARALLEL LINES AND ANGLES

Draw your brain

What have you learnt?

In your brain, write or draw everything you can remember about finding alternate and corresponding angles. It can be a skill or a reflection, or

something else that might be prominent in your brain.

What level 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