# Patterns and number facts: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Patterns and number facts. Students bring together knowledge and skills of algebraic and graphical representations of linear functions and quadratic functions. They make these connections by systematically varying the parameters in the rules y = ax + b and y = a(x + h)2 + k, and exploring the effects of corresponding transformations on the graphs of the basic linear function y = x (reflection in the horizontal axis, vertical dilation, vertical translation) and the basic quadratic function y = x2 (reflection in the horizontal axis, vertical dilation, vertical and horizontal translation), respectively.

Year level(s) Year 9
Audience Teacher
Purpose Planning support, Teaching resource, Teaching strategies, Student task, Home practice tasks
Format Web page
Keywords lesson plans, assessment task, teaching strategies, pedagogies, Australian Curriculum, learning from home, misconceptions

## Curriculum alignment

Strand and focus Algebra
Topics Patterns and algebra
AC: Mathematics (V9.0) content descriptions
AC9M9A06

Experiment with the effects of the variation of parameters on graphs of related functions, using digital tools, making connections between graphical and algebraic representations, and generalising emerging patterns.