Core (from Y9 teaching programme)
• Use proportional reasoning to solve a problem, choosing the correct numbers to take as 100%, or as a whole ; compare two ratios; interpret and use ratio in a range of contexts, including solving word problems.
• Distinguish between conventions, definitions and derived properties
• Understand congruence
• Transform 2-D shapes by combinations of translations, rotations and reflections, on paper and using ICT; know that translations, rotations and reflections preserve length and angle and map objects on to congruent images ; identify reflection symmetry in 3-D shapes.
• Enlarge 2-D shapes, given a centre of enlargement and a whole number scale factor, on paper and using ICT; identify the scale factor of an enlargement as the ratio of the lengths of any two corresponding line segments; recognise that enlargements preserve angle but not length, and understand the implications of enlargement for perimeter
• Use and interpret maps and scale drawings
• Visualise and use 2-D representations of 3-D objects; analyse 3-D shapes through 2-D projections, including plans and elevations. |
KS3
~ Y9 PR minipack: proportional sets
~ T5 Snapper 11: Angles and transformations (angles and symmetry) Snapper 12: Transformations
KS3 Interacting Y9
~ Visualisation 7
~ A developing written argument; a complete written argument (P27 GR Minipack)
1000 Playthinks
~ 454/455/456 Quartering shapes
~ 464 / 468 Square in to 2 square / square into 3 squares
MAP
~ Given three sides, make a triangle. With the same three sides can you make a different triangle, that is not congruent to the first? (Use geostrips).
~ Shape work ideas : Triangles > thirds; Two congruent right-angled triangles
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ATM Shapes in space
~ Reflections p22, rotations, p23
KS3
~ Y9 PR minipack: Repeated scaling, splits; Four problems making the links: L6/7
~ Problems with plane mirrors
KS3 (L3-L5)
~ T5 Add-on 7: Shape and space: 2-D to 3-D Add-on 9: Shape and space: transformations Stinger 12: It's in the net (nets and solids) Top Ten Y4 and Y5
MAP
~ Combining Transformations |
MAP
~ Geomat
BOTM
~ Y9 Transformations
Cabri / JJackson
~ Triangles within triangles
~ Section 3: Transformations; reflecting / rotating triangles
HORN, Cornwall
~ Geometrical visualisations 3
KS3/ICT
~ Generalising about polygons |
~ KS3 Y9 Resource sheets – cats, photographs, shadows L6
~ Proportional sets
~ Geostrips
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Find a shape with ‘x' lines of symmetry and ‘y' order of rotational symmetry
What effect does enlargement have on angles?
Why are plugs in sinks circular? What shape to babies learn to put in shape-sorters first? Why?
What are the key pieces of information needed to complete the following:
- a rotation;
- a reflection;
- a translation;
- an enlargement.
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MAP - Level Ladders
~ Transformations
Group work
Written explanations
Oral explanations
Physical resources
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