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algebra

AC9M7A01

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

Elaborations

  • AC9M7A01_E1linking 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 × w or using p = 6g + b to describe a total of points expressed as goals (worth 6 points) and behinds (worth one point)
  • AC9M7A01_E2interpreting and using formulas obtained from other sources; for example, maximum heart rates and target heart rates for moderate exercise
  • AC9M7A01_E3substituting 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×h×r, using values for mass m and volume v to determine density d of a substance where d = m/v
  • AC9M7A01_E4using everyday formulas and their application to contexts on Country/Place, investigating the relationships between variables

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AC9M7A01 – recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown | LessonForge