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Level 4/5 Booster. Lesson 10B. Transformations. Objectives:. Recognise and visualise transformations – reflection, rotation and translation. Vocabulary:. angle of rotation. rotation. translation. reflection. vector. centre of rotation.

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Presentation Transcript
slide1

Level 4/5 Booster

Lesson 10B

Transformations

slide2

Objectives:

  • Recognise and visualise transformations – reflection, rotation and translation.

Vocabulary:

angle of rotation

rotation

translation

reflection

vector

centre of rotation

slide4

Did you find them all?

The parallelogram has no lines of symmetry – make a parallelogram from paper and try folding if you are not convinced.

slide6

Did you reflect the shapes correctly?

In exams at KS3 and KS4 you can use tracing paper to help you with questions about reflection.

slide7

Using the centre C can you rotate this triangle 90º clockwise?

Using centre C can you rotate this rectangle 180º clockwise?

C

C

Using centre C can you rotate this rhombus 90º clockwise?

Using centre C can you rotate this arrowhead 90º anti-clockwise?

C

W/S 10.3B

slide8

Did you rotate the shapes correctly?

C

C

C

You can use tracing paper in KS3 and KS4 exams to help you rotate shapes.

slide9

Here is a shape it has been rotated. Can you find the centre and the angle of rotation?

Here is a shape that has been rotated can you find the centre and the angle of rotation?

W/S 10.4B

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The centre of the rotation stays the same so the centre is the corner that has not moved.

This shape has been rotated 180º (clockwise or anticlockwise).

C

C

The shape has been rotated through 90º clockwise

slide11

The triangle labelled A has been translated into positions B, C, D and E.

Can You describe each of these transformations using a vector?

B

C

A

Example:

A B is a translation

3

2

E

D

3 squares along and 2 squares up

slide12

Here are the correct answers:

B

3

2

A

B

Translation

C

A

C

- 2

1

A

Translation

E

1

- 3

A

D

Translation

D

  • 1
  • - 2

A

E

Translation

slide13

Task:

Draw a 1 by 2 right-angled triangle in different positions and orientations on 5 by 5 spotty paper. Choose one of the triangles to be the original. Describe fully the transformations from your original to each of the other triangles drawn.

You need W/S 10.5B

slide14

Objectives:

  • Recognise and visualise transformations – reflection, rotation and translation.

Vocabulary:

angle of rotation

rotation

translation

reflection

vector

centre of rotation