What students learn in AC9M7A01
This unit helps students build a clear, usable understanding of And use variables to represent everyday formulas algebraically and substitute.... 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 variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- linking variables to attributes and measures being modelled when using formulas, such as the area of a rectangle is equal to the length x width as A\;=\;l\;\times\;w or using p\;=\;6g\;+\;b to describe a total of points expressed as goals (worth 6 points) and behinds (worth one point) interpreting and using formulas obtained from other sources; for example, maximum heart rates and target heart rates for moderate exercise
- 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 variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown
- E1: linking variables to attributes and measures being modelled when using formulas, such as the area of a rectangle is equal to the length x width as A\;=\;l\;\times\;w or using p\;=\;6g\;+\;b to describe a total of points expressed as goals (worth 6 points) and behinds (worth one point)
- E2: interpreting and using formulas obtained from other sources; for example, maximum heart rates and target heart rates for moderate exercise
- E3: substituting numerical values for variables when using formulas and calculating the value of an unknown in practical situations; for example, calculating weekly wage W given base wage b and overtime hours h at 1.5 times rate r, W\;=\;b+1.5\times h\times r, using values for mass m and volume v to determine density d of a substance where d\;=\;\frac mv
- E4: using everyday formulas and their application to contexts on Country/Place, investigating the relationships between variables
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
AC9M7A01 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 | AC9M7A01 — recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown |
| Victoria | Victorian Curriculum F-10 | Year 7 Maths: closest match in Algebra. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 4 Maths: closest content focus for And use variables to represent everyday formulas algebraically and substitute... and related outcomes. |
| United States | Common Core / NGSS | Grade 7 Common Core Mathematics/ELA closest topic match for And use variables to represent everyday formulas algebraically and substitute.... |
| England / UK | National Curriculum | Key Stage 3 / Year 7: closest programme-of-study match for And use variables to represent everyday formulas algebraically and substitute.... |
| Canada | Provincial and territory curricula | Grade 7 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 4 Maths: closest achievement-objective topic for And use variables to represent everyday formulas algebraically and substitute.... |
| India | NCERT / CBSE | Class 7 closest NCERT/CBSE topic match for And use variables to represent everyday formulas algebraically and substitute.... |