What students learn in AC9M6SP03
This unit helps students build a clear, usable understanding of And use combinations of transformations to create tessellations and other.... 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: recognise and use combinations of transformations to create tessellations and other geometric patterns, using dynamic geometric software where appropriate.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- understanding that the Cartesian plane provides a graphical or visual way of describing location with respect to a fixed origin understanding that the axes are number lines that can have different scales, including fractions and decimals, depending on purpose
- 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: recognise and use combinations of transformations to create tessellations and other geometric patterns, using dynamic geometric software where appropriate
- E1: understanding that the Cartesian plane provides a graphical or visual way of describing location with respect to a fixed origin
- E2: understanding that the axes are number lines that can have different scales, including fractions and decimals, depending on purpose
- E3: understanding that the horizontal coordinate is written first and is changed if there is a move to the left or right, whereas a move up or down will change the vertical coordinate
- E4: using the Cartesian plane to draw lines and polygons, listing co-ordinates in the correct order to complete a polygon
- E5: exploring how coordinates can be used to input positional data for artificial intelligence systems to locate positions in an image or other two-dimensional space
- E6: investigating and connecting land or star maps used by First Nations Australians with the Cartesian plane through a graphical or visual way of describing location (teaching context)
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
AC9M6SP03 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 | AC9M6SP03 — recognise and use combinations of transformations to create tessellations and other geometric patterns, using dynamic geometric software where appropriate |
| Victoria | Victorian Curriculum F-10 | Year 6 Maths: closest match in Space. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 3 Maths: closest content focus for And use combinations of transformations to create tessellations and other... and related outcomes. |
| United States | Common Core / NGSS | Grade 6 Common Core Mathematics/ELA closest topic match for And use combinations of transformations to create tessellations and other.... |
| England / UK | National Curriculum | Key Stage 2 / Year 6: closest programme-of-study match for And use combinations of transformations to create tessellations and other.... |
| Canada | Provincial and territory curricula | Grade 6 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 3 Maths: closest achievement-objective topic for And use combinations of transformations to create tessellations and other.... |
| India | NCERT / CBSE | Class 6 closest NCERT/CBSE topic match for And use combinations of transformations to create tessellations and other.... |