AC9M8A02 Year 8 Mathematics

Content descriptor 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

• • Elaboration 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
• • Elaboration 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
• • Elaboration completing a table of values, plotting the resulting points on the Cartesian plane and determining whether the relationship is linear
• • Elaboration 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
• • Elaboration 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
• • Elaboration solving linear equations such as 3x+7\;=\;6x-9, representing these graphically, and verifying solutions by substitution