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.

Additional details
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)
Copyright details
Organisation	Commonwealth of Australia
Copyright	© 2023 Commonwealth of Australia, unless otherwise indicated. Creative Commons Attribution 4.0, unless otherwise indicated