# Graphs: Year 9 – planning tool

This planning resource for Year 9 is for the topic of Graphs. Students work with points, straight lines and line segments on the Cartesian plane, and use the coordinates of points to apply the formulas for calculating the gradient, midpoint and length of a line segment (distance between two points). They use digital tools to represent these points, lines and line segments on the Cartesian plane, explore how they change as the points are varied, and apply them to visually model a range of practical situations and solve related problems.

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 Linear relationships, Non-linear relationships, Algebraic expressions
AC: Mathematics (V9.0) content descriptions
AC9M9A03

Find the gradient of a line segment, the midpoint of the line interval and the distance between 2 distinct points on the Cartesian plane

AC9M9A04
Identify and graph quadratic functions, solve quadratic equations graphically and numerically, and solve monic quadratic equations with integer roots algebraically, using graphing software and digital tools as appropriate

Numeracy progression Number patterns and algebraic thinking (P9)