Patterns, rules and graphs

In this lesson, students play games and learn about space and location, the Cartesian plane, pattern recognition and reductive reasoning by playing games and thinking. Students create algebraic equations to describe their strategy. Follow this lesson with Graphs: formulas and variables, though both lessons can be taught in isolation.

Additional details

Year level(s) Year 7
Audience Teacher
Purpose Teaching resource
Format Web page
Teaching strategies and pedagogical approaches Concrete Representational Abstract model, Mathematics investigation, Games and storybooks, Collaborative learning
Keywords Maths Hub lesson plan

Curriculum alignment

Curriculum connections Critical and creative thinking, Technologies
Strand and focus Number, Algebra, Space
Topics Mathematical modelling
AC: Mathematics (V9.0) content descriptions
Generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane

Represent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations

Describe transformations of a set of points using coordinates in the Cartesian plane, translations and reflections on an axis, and rotations about a given point

Recognise, represent and solve problems involving ratios

Numeracy progression Number patterns and algebraic thinking (P7)
Positioning and locating (P5)

Copyright details


Commonwealth of Australia


© 2024 Commonwealth of Australia. Creative Commons BY 4.0.