AC9M8A02 Year 8 Mathematics

This Content Descriptor from Year 8 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.

graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution

Elaborations

• 1 recognising that in a table of values, if the first difference between consecutive values of the dependent variable is constant, then it is a linear relation
• 2 graphing linear functions and relations of the form \(x\;=\;a,\;y\;=\;a,\;x\;\leq\;a,\;x\;>\;a,\;y\leq\;a,\;y>\;a\) on the Cartesian plane for known values of \(a\)
• 3 completing a table of values, plotting the resulting points on the Cartesian plane and determining whether the relationship is linear
• 4 graphing the linear relationship \(ax+b\;=\;c\) for given values of \(a\), \(b\) and \(c\) and identifying from the graph where \(ax+b\;<\;c\) or where \(ax+b\;>\;c\)
• 5 solving linear equations of the form \(ax+b\;=\;c\) and one-variable inequalities of the form \(ax+b\;<\;c\) or \(ax+b\;>\;c\) where \(a>0\) using inverse operations and digital tools, and checking solutions by substitution
• 6 solving linear equations such as \(3x+7\;=\;6x-9\), representing these graphically, and verifying solutions by substitution

Related Achievement Standards