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Mathematics / Year 7 / Algebra

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Australian Curriculum, Assessment and Reporting Authority

Curriculum content descriptions

recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown (AC9M7A01)

Elaborations

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
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 \(d\;=\;\frac mv\)
using everyday formulas and their application to contexts on Country/Place, investigating the relationships between variables

General capabilities

Critical and Creative Thinking
Numeracy

ScOT terms

Substitution, Variables (Mathematics), Equations

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