6 hours

Year 9 Support

Spring Term

Unit 11

Transformations; Geometrical reasoning: shapes; Ratio and proportion

NNS P190 191
P202 - 215, P78 - 81

Autumn Term

Spring Term

Summer Term

Support (from Y7 teaching programme) • Recognise and visualise the transformation and symmetry of a 2-D shape (a) reflection in given mirror lines, and line symmetry (b) rotation about a given point, and rotation symmetry (c) translation; explore these transformations and symmetries using ICT.
Core (from Y8 teaching programme) • Know that if two 2-D shapes are congruent, corresponding sides and angles are equal • Transform 2-D shapes by simple combinations of rotations, reflections and translations, on paper and using ICT; identify all the symmetries of 2-D shapes. • Understand and use the language and notation associated with enlargement; enlarge 2-D shapes, given a centre of enlargement and a positive whole-number scale factor ; explore enlargement using ICT. • Use the equivalence of fractions, decimals and percentages to compare proportions
Extension (from Y9 teaching programme) • Know that translations, rotations and reflections preserve length and angle and map objects on to congruent images; identify reflection symmetry in 3-D shapes.
Starters	Main	ICT	Scaffolding	Key Questions	Notes
Proof in Elementary Geometry ~ Extend technique of transformations for other proofs – e.g. ~ Opposite sides of a parallelogram are equal ~ Diagonals of a parallelogram always bisect each other ~ Opposite angles of a parallelogram are equal ~ The area of each triangle is half the area of the whole parallelogram ~ Areas of parallelograms on the same base and between the same parallels are equal. Visualisations MAP ~ Measuring Enlargements	Mymaths Enlarging Shapes Rotating Shapes Reflecting Shapes Translating Shapes All Transformations Transform Tool Golf Game Alternative golf game (excel) Transformation station game (Excellent!) Active maths Various transformation resources MAP ~ Using coordinates to identify a 2D shape, reflect the shape twice, in two lines of symmetry; then rotate the original shape, so that the image falls onto the reflected shape. What connections can you find? ~ Moving House ~ Diagonal Reflections ~ Congruent halves ~ Transformations template ~ Tessellating Tess KS3 Y8 MR Minipack ~ Problem bank 3 (Similar triangles questions)	MAP ~ Geomat - see below... ~ Autograph for enlargement ~ LOGO Transformations (LTSTAR; RTSTAR) Cabri / JJackson ~ Combining transformations ~ Enlarging triangles	MAP ~ Generic assessment criteria ~ ~ 3x3 , 4x4 , 5x5 dotty paper	Where do you think the enlargement will be? What is wrong with this enlargement? What does the centre of enlargement mean? What is the scale factor of this enlargement? Does a rectangle have four lines of symmetry? When enlarging on a coordinate grid: What connections are there between the coordinates of corresponding vertices?	MAP – Level Ladders ~ Transformations ~ Geometrical reasoning Extended task: MAP ~ Comparing 2 reflections with a rotation Y8 able BOLT 101MP : 100 Maximising capacity KS3 Y8 MR Minipack ~ Problem bank 3 (implications of enlargement on areas and volumes)