What students learn in AC9M9SP02
This unit helps students build a clear, usable understanding of Apply the enlargement transformation to shapes and objects using dynamic.... The goal is not to memorise one answer pattern. Students should be able to explain the idea, recognise it in a new example and apply it in a short practice or worksheet task.
- Start with the main idea: apply the enlargement transformation to shapes and objects using dynamic geometry software as appropriate; identify and explain aspects that remain the same and those that change.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- comparing the ratio of lengths of corresponding sides of similar triangles and angles using the properties of similarity to solve problems involving enlargement
- Finish with mixed questions so students must choose the correct strategy rather than copy the last example.
Curriculum coverage and elaborations
The content description and elaborations below show the curriculum ideas taught in this unit. Items marked as teaching context support lesson planning but may not appear in the initial eight-question activity.
- Content description: apply the enlargement transformation to shapes and objects using dynamic geometry software as appropriate; identify and explain aspects that remain the same and those that change
- E1: comparing the ratio of lengths of corresponding sides of similar triangles and angles
- E2: using the properties of similarity to solve problems involving enlargement
- E3: investigating and generalising patterns in length, angle, area and volume when side lengths of shapes and objects are enlarged or dilated by whole and rational numbers; for example, comparing an enlargement of a square and a cube of side length 2 units by a factor of 3 increases the area of the square, 2^2, to (3\times2)^2 = 9\times 2^2=9 times the original area and the volume of the cube, 2^3, to (3\times2)^3=27\times 2^3=27 times the volume
How to use this unit
Read the topic guide, use the teacher slide for instruction, then complete the Worksheet, Practice and Test. These three activities use the same eight-question unit bank.
Teacher resource
AC9M9SP02 teacher slide
Use this one-page PDF to introduce the key idea, vocabulary and teaching sequence before students begin the activities.
Open teacher slide (PDF)Common mistakes to watch for
- Rushing to a rule before checking the concrete model, drawing or number sentence.
- Using the correct answer once but not being able to explain why it works.
- Mixing up similar vocabulary such as more/less, before/after, longer/shorter or equal groups/sharing.
International curriculum mapping
This table gives closest-topic mapping for search and planning. The Australian Curriculum code is exact; overseas entries are broad equivalents because each jurisdiction structures outcomes differently.
| Region | Curriculum | Closest mapping |
|---|---|---|
| Australia | Australian Curriculum v9.0 | AC9M9SP02 — apply the enlargement transformation to shapes and objects using dynamic geometry software as appropriate; identify and explain aspects that remain the same and those that change |
| Victoria | Victorian Curriculum F-10 | Year 9 Maths: closest match in Space. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 5 Maths: closest content focus for Apply the enlargement transformation to shapes and objects using dynamic... and related outcomes. |
| United States | Common Core / NGSS | Grade 9 Common Core Mathematics/ELA closest topic match for Apply the enlargement transformation to shapes and objects using dynamic.... |
| England / UK | National Curriculum | Key Stage 3 / Year 9: closest programme-of-study match for Apply the enlargement transformation to shapes and objects using dynamic.... |
| Canada | Provincial and territory curricula | Grade 9 closest topic match. Canada varies by province, so use this as a broad Ontario/BC-style learning outcome reference. |
| New Zealand | New Zealand Curriculum | Level 5 Maths: closest achievement-objective topic for Apply the enlargement transformation to shapes and objects using dynamic.... |
| India | NCERT / CBSE | Class 9 closest NCERT/CBSE topic match for Apply the enlargement transformation to shapes and objects using dynamic.... |