AC9M7A01 Year 7 Mathematics

This Content Descriptor from Year 7 Mathematics provides the specific knowledge and skills students should learn. Use it to plan lessons, create learning sequences, and design assessments that align with the Australian Curriculum v9.

recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown

Elaborations

• 1 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)
• 2 interpreting and using formulas obtained from other sources; for example, maximum heart rates and target heart rates for moderate exercise
• 3 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 \(d\;=\;\frac mv\)
• 4 using everyday formulas and their application to contexts on Country/Place, investigating the relationships between variables

Related Achievement Standards