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Symmetry Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry www.mathsrevision.com Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry Creating Rotational Symmetry MTH 2-19a MTH 3-19a

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Page 1: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

SymmetrySymmetry

Line Symmetry

Rotational (Order) Symmetry

Translational Symmetry

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Creating Rotational Symmetry

MTH 2-19aMTH 3-19a

Page 2: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Starter QuestionsStarter Questionsw

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.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.

MTH 2-19aMTH 3-19a

Page 3: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Line SymmetryLine Symmetryw

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

1. To revise line symmetry.

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

MTH 2-19aMTH 3-19a

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

Line SymmetryLine Symmetryw

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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.

MTH 2-19aMTH 3-19a

Page 5: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Line SymmetryLine SymmetryThe SquareThe Square

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Page 6: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Line SymmetryLine SymmetryThe rectangleThe rectangle

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Page 7: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Line SymmetryLine SymmetryThe squareThe square

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Page 8: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Line SymmetryLine SymmetryThe RhombusThe Rhombus

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Page 9: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Line SymmetryLine SymmetryThe ParallelogramThe Parallelogram

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No lines of symmetry !

MTH 2-19aMTH 3-19a

Page 10: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Line SymmetryLine SymmetryThe Equilateral TriangleThe Equilateral Triangle

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Page 11: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Line SymmetryLine SymmetryThe Trapezium 1The Trapezium 1

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Page 12: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Line SymmetryLine SymmetryThe Trapezium 2The Trapezium 2

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No lines of symmetry !

MTH 2-19aMTH 3-19a

Page 13: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Line SymmetryLine SymmetryThe HexagonalThe Hexagonal

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Page 14: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Line SymmetryLine Symmetryw

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Page 15: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

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Your turn !Exercise 1Page 81

Creating Half-TurnCreating Half-TurnSymmetrySymmetry

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Page 16: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Starter QuestionsStarter Questionsw

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.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

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Page 17: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Rotational Rotational SymmetrySymmetry

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

1. We are learning what rotational symmetry is for a shape.

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Page 18: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

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Rotational SymmetryRotational Symmetry

This new shape has HALF - TURN symmetry

This dot is called the centre of symmetry

2. Use the tracing paper to make a copy of this shape.

3. Turn the tracing paper through 180 degrees about the dot.

1. Draw this shape into your jotter.

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Rotation SymmetryRotation SymmetryHalf Turn Half Turn

All these shapes have order 2

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Rotation SymmetryRotation SymmetryOrder Order

Has order 2

Has order 3

Has order 4

The order of symmetry is the number of times a shape looks the same in one complete turn.

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Page 21: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

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Your turn !Exercise 2Page 82

Rotational Rotational SymmetrySymmetry

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Page 22: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Starter QuestionsStarter Questionsw

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.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

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Page 23: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Creating Half-TurnCreating Half-TurnSymmetrySymmetry

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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.

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Page 24: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

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Creating Half-TurnCreating Half-TurnSymmetrySymmetry

Task 1Draw the complete shape you get

after it has been rotatedthrough 180 degrees about the point.

Task 2Do the same for this shape

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Creating Half-TurnCreating Half-TurnSymmetrySymmetry

If you find it difficult to work out the new shape 1. Try tracing the shape first2. Then rotate tracing paper 180 deg about the point.

Task 3Do the same for this shape

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Your turn !Exercise 3Page 85

Creating Half-TurnCreating Half-TurnSymmetrySymmetry

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Page 27: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Starter QuestionsStarter Questionsw

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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.

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Page 28: Symmetry Line Symmetry Rotational (Order) Symmetry Translational Symmetry  Creating Rotational Symmetry MTH 2-19a MTH 3-19a

Translational Translational (slide)(slide)

SymmetrySymmetry

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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.

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Translational Translational (slide)(slide)

SymmetrySymmetry

A shape that tiles can be completely surrounded by congruent shapes

WITHOUT leaving any gaps.

Exactlythe same

shape and size !

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Translational Translational (slide)(slide)

SymmetrySymmetry

Is this a tile pattern ?

No because there are

gaps

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Translational Translational (slide)(slide)

SymmetrySymmetry

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

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Your turn !Exercise 4Page 87

Translational Translational (slide)(slide)

SymmetrySymmetryMTH 2-19aMTH 3-19a