31
MTH 3-19a MTH 4-19a Symmetry Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry www.mathsrevision.com Creating Rotational Symmetry

MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry Creating Rotational Symmetry

Embed Size (px)

Citation preview

Page 1: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

MTH 3-19aMTH 4-19a

SymmetrySymmetry

Line Symmetry

Rotation (Turn) Symmetry

Translational Symmetry

ww

w.m

ath

srevis

ion

.com

Creating Rotational Symmetry

Page 2: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

MTH 3-19aMTH 4-19a

Starter QuestionsStarter Questionsw

ww

.math

srevis

ion

.com 64 10000Q1. Calculate

Q2. If 1 bar of chocolate costs 65p. How much will1000 bars cost. Give your answer in £’s.

(a) 4.56 (b) 7.254 (c) 9.244

Q3. Round to 1 decimal place

Q4. Convert to 24 hrs clock

(a) Half past 4 in the af ternoon.

(b) Quarter to eight in the morning.

Page 3: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

MTH 3-19aMTH 4-19a

Line SymmetryLine Symmetryw

ww

.math

srevis

ion

.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. Understand the term line Understand the term line symmetry.symmetry.

1. We are learning how to recognise and create line symmetry.

2.2. Complete Drawings Complete Drawings given the line of given the line of symmetry.symmetry.

Page 4: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

MTH 3-19aMTH 4-19a

Line SymmetryLine Symmetryw

ww

.math

srevis

ion

.com

A line symmetry occurs in a shape if, when the shape is folded over the line the two pieces either side of the line, are exactly the same.

Page 5: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

Line Symmetry

How many lines of symmetry do

these shapes have ?

Square (4 lines)Equilateral

Triangle (3 lines)

Page 6: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

Line Symmetry

How many lines of symmetry do

these shapes have ?

Rectangle (2 lines)Isosceles

Triangle (1 lines)

Page 7: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

Line Symmetry

How many lines of symmetry do

these shapes have ?

Kite (1 line) Rhombus (2 lines)

Page 8: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

Line Symmetry

How many lines of symmetry do

these shapes have ?

Parallelogram No lines of Symmetry

Page 9: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

Line Symmetry

How many lines of symmetry do

these shapes have ?

Trapezium 1 (1 line)Trapezium 2

No line of Symmetry

Page 10: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

Line Symmetry

How many lines of symmetry do

these shapes have ?

Hexagon (6 lines)(2 lines)

Page 11: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

Line Symmetry

Draw the other side of the shape

so it has line symmetry.

Page 12: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

Line Symmetry

Draw the other side of the shape

so it has line symmetry.

Page 13: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

MTH 3-19aMTH 4-19a

21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Now try TJ3bEx 1

Ch11 (page 105)

ww

w.m

ath

sre

vis

ion

.com

Line SymmetryLine Symmetry

Page 14: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

MTH 3-19aMTH 4-19a

Starter QuestionsStarter Questionsw

ww

.math

srevis

ion

.com Q1. Round the following to the first decimal place.

Q2. What fraction is the green area. What fraction is the grey area.

Q3. A pencil costs 22p. How much doesa 1000 cost. Put your answer in £’s.

(a) 153.37 (b) 261.55

Page 15: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

MTH 3-19aMTH 4-19a

ww

w.m

ath

srevis

ion

.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. Understand the terms Understand the terms rotational symmetry.rotational symmetry.

1. We are learning what rotational symmetry and its order.

Rotation (Turn) Rotation (Turn) Symmetry Symmetry

2. 2. State the turn symmetry State the turn symmetry and order for shapes.and order for shapes.

Page 16: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

Rotation (Turn) Symmetry

Draw the other side of the shape rotated through 180o around

the red point.

This new shape has half-turn symmetry

ORDER 2.

Order 2 means it looks the same twice

as it is rotated through 360o.

Page 17: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

Rotation (Turn) Symmetry

State the turn symmetry for each

and its order.

Square (¼ turn symmetry)

Order 4

Rectangle (½ turn symmetry)

Order 2

Page 18: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

MTH 3-19aMTH 4-19a

21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Now try TJ3bEx 2

Ch11 (page 107)

ww

w.m

ath

sre

vis

ion

.com

Rotation (Turn) Rotation (Turn) Symmetry Symmetry

Page 19: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

MTH 3-19aMTH 4-19a

Starter Starter QuestionsQuestions

ww

w.m

ath

srevis

ion

.com 30% of £600Q1. Calculate

Q4. Find the perimeter and area of the square.

Q3.

Q2. What is the time difference between 8.15am and 1:00pm

Solve 6y-16 20

Q5. Find the order of rotational symmetry for the shape opposite.

5cm

1

3 2

4

5 6

A=25cm2

P=20cm

Page 20: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

MTH 3-19aMTH 4-19a

Creating Half-TurnCreating Half-TurnSymmetrySymmetry

ww

w.m

ath

srevis

ion

.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. Understand the terms Understand the terms half-turn symmetry.half-turn symmetry.

1. We are learning how we can create half-turn symmetry for a shape.

2.2. Draw the other half of a Draw the other half of a shape such that it has shape such that it has half-turn symmetry.half-turn symmetry.

Page 21: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

Creating Half -Turn Symmetry

Draw the other side of the shape rotated through 180o around

the red point.

The final shape depends on the

centre of rotation.

Page 22: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

Creating Half -Turn Symmetry

Draw the other side of the shape rotated through 180o around

the red point.

Page 23: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

MTH 3-19aMTH 4-19a

21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Now try TJ3bEx 3

Ch11 (page 110)

ww

w.m

ath

sre

vis

ion

.com

Creating Half-TurnCreating Half-TurnSymmetrySymmetry

Page 24: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

MTH 3-19aMTH 4-19a

Starter Starter QuestionsQuestions

ww

w.m

ath

srevis

ion

.com

133 % of £ 180

3Q1. Calculate

Q4. (-2) + (-3)

Q3.

Q2. What is the time difference between 8.15am and 1:00pm

Solve 2 4 20 x

Q5. How many lines of symmetry doesregular hexagon have.

Page 25: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

MTH 3-19aMTH 4-19a

Translation (slide)Translation (slide)SymmetrySymmetry

ww

w.m

ath

srevis

ion

.com Learning IntentionLearning Intention Success CriteriaSuccess Criteria

1.1. Understand the terms Understand the terms translational, slide translational, slide congruent and tile.congruent and tile.

1. We are learning the meaning of Translational (slide) symmetry using tile patterns.

2.2. Identify shapes that tile.Identify shapes that tile.

3.3. Construct a tile pattern Construct a tile pattern for shapes.for shapes.

Page 26: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

Translation (Slide) Symmetry

A shape that tiles can be completely surrounded by

congruent shapes WITHOUT leaving any

gaps.

Using Slide SymmetryShape tiles

DOES NOT tilesGaps between shapes

GapsGaps

Page 27: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

Translation (Slide) Symmetry

How can you tell if the tiling is complete ?

Page 28: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

Translation (Slide) Symmetry

Page 29: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

Translation (Slide) Symmetry

Is this the complete

tiling ?No !

Why ?

Complete the tiling

Page 30: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

MTH 3-19aMTH 4-19a

ww

w.m

ath

srevis

ion

.com

Translation (slide)Translation (slide)SymmetrySymmetry

Write down as many tile patterns as you canthat you see every day.

Page 31: MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry  Creating Rotational Symmetry

MTH 3-19aMTH 4-19a

21 Apr 202321 Apr 2023 Created by Mr. Lafferty Maths Dept.Created by Mr. Lafferty Maths Dept.

Now try TJ3bEx 4

Ch11 (page 112)

ww

w.m

ath

sre

vis

ion

.com

Translation (Slide)Translation (Slide)SymmetrySymmetry

Have you updated your Learning Log ?