Transformations.

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Presentation transcript:

Transformations

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 10 Ticks: MEP:

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 10 Ticks: MEP:

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 10 Ticks MEP book

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 10 Ticks MEP book

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 10 Ticks MEP book

Your turn chapter 15 section 15.3 page 222

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