1. Transformations

2. Transformations of shapes - Translations
learning objectives:
describe and transform shapes using single translations
understand that reflections are specified by a distance and a direction (using a vector)
translate a given shape by the vector 2 −3
use congruence to show that translation, rotation and reflections preserve length and angle, so that any shape is congruent to it’s image under any of these transformations
understand that distances and angles are preserved under rotations, reflections and translations so that any shape is congruent to its image (new in 2012)
describe a transformation
Reference Material
Text: Chapter 15 page 215
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3. Transformations of shapes - Reflections
learning objectives:
describe and transform shapes using single reflections
understand that reflections are specified by a mirror line
identify the equation of a mirror line of symmetry
use congruence to show that translation, rotation and reflections preserve length and angle, so that any shape is congruent to it’s image under any of these transformations
understand that distances and angles are preserved under rotations, reflections and translations so that any shape is congruent to its image (new in 2012)
describe a transformation
Reference Material
Text: Chapter 15 page 218
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4. Transformations of Shapes - Rotations
learning objectives:
Describe and transform 2-D shapes using single rotations
understand that rotations are specified by a centre and an anti clockwise angle
find the centre of rotation
rotate a shape about the origin or any other point
use congruence to show that translation, rotation and reflections preserve length and angle, so that any shape is congruent to it’s image under any of these transformations
understand that distances and angles are preserved under rotations, reflections and translations so that any shape is congruent to its image (new in 2012)
describe a transformation
Reference material
Text chapter 15 page 222
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MEP book

5. Transformations of Shapes - Enlargement
learning objectives:
describe and transform 2-D shapes using enlargements by a positive and/or a negative or fractional scale factor
understand that an enlargement is specified by a centre and a scale factor
enlarge a shape using (0,0) as the centre of enlargement
enlargement with centre other than (0,0)
find the centre of enlargement
recognise that that enlargements preserve angle but not length
Reference material
Text chapter 15 page 225
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MEP book

6. Transformations of Shapes – Combined Transformations
learning objectives:
describe and transform 2-D shapes using combined rotations, reflections, translations or enlargements
Reference material
Text chapter 15 page 230
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MEP book

7. Your turn
chapter 15 section 15.3 page 222

8. Your turn
chapter 11 page 148
10 Ticks Level 9 Pack 1 page 3-4