AC9M8A04 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.

experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns

Elaborations

• 1 using graphing software to investigate the effect of systematically varying parameters of linear functions on the corresponding graphs, making and testing conjectures; for example, making a conjecture that if the co-efficient of \(x\) is negative, then the line will slope down from left to right
• 2 using graphing software to systematically contrast the graphs of \(y\;=\;2x\), -\(y\;=\;2x\), \(y\;=\;\)-\(2x\) and -\(y\;=\;\)-\(2x\) with those of \(y<2x\), \(-y<2x\), \(y<\)-\(2x\) and -\(y<\)-\(2x\) and those of \(y>2x\), -\(y>2x\), \(y>\)-\(2x\) and -\(y>\)-\(2x\), making and testing conjectures about sign and direction of the inequality
• 3 using digital tools to investigate integer solutions to equations such as \(2x+3y\;=\;48\)
• 4 exploring how linear functions are used in linear regression models as a statistical technique in machine learning of artificial intelligence agents; for example, linear functions are used to model the relationship between input variables and a target variable, to predict stock or house prices in the financial and real-estate sectors

Related Achievement Standards