AC9M8A04 Year 8 Mathematics

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

Elaborations

• • Elaboration 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
• • Elaboration 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
• • Elaboration using digital tools to investigate integer solutions to equations such as 2x+3y\;=\;48
• • Elaboration 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