What students learn in AC9M6M02
This unit helps students build a clear, usable understanding of Establish the formula for the area of a rectangle and.... 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: establish the formula for the area of a rectangle and use it to solve practical problems.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- using one centimetre grid paper to construct a variety of rectangles, recording the side lengths and the related areas of the rectangles in a table to establish the formula for the area of a rectangle by recognising the relationship between the length of the sides and its calculated area using the relationship between the length and area of square units and the array structure to derive a formula for calculating the area of a rectangle from the lengths of its sides
- 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: establish the formula for the area of a rectangle and use it to solve practical problems
- E1: using one centimetre grid paper to construct a variety of rectangles, recording the side lengths and the related areas of the rectangles in a table to establish the formula for the area of a rectangle by recognising the relationship between the length of the sides and its calculated area
- E2: using the relationship between the length and area of square units and the array structure to derive a formula for calculating the area of a rectangle from the lengths of its sides
- E3: solving problems involving the comparison of lengths and areas using appropriate units
- E4: investigating the connection between the perimeters of different rectangles with the same area and between the areas of rectangles with the same perimeter
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
AC9M6M02 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 | AC9M6M02 — establish the formula for the area of a rectangle and use it to solve practical problems |
| Victoria | Victorian Curriculum F-10 | Year 6 Maths: closest match in Measurement. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 3 Maths: closest content focus for Establish the formula for the area of a rectangle and... and related outcomes. |
| United States | Common Core / NGSS | Grade 6 Common Core Mathematics/ELA closest topic match for Establish the formula for the area of a rectangle and.... |
| England / UK | National Curriculum | Key Stage 2 / Year 6: closest programme-of-study match for Establish the formula for the area of a rectangle and.... |
| 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 Establish the formula for the area of a rectangle and.... |
| India | NCERT / CBSE | Class 6 closest NCERT/CBSE topic match for Establish the formula for the area of a rectangle and.... |