Lesson 1
Students learn key coordinate geometry skills including distance, midpoint, and gradient, forming the foundation for all graph-based problems. They also explore parallel and perpendicular relationships and apply these concepts to basic problem solving.
Lesson 2
Students develop the ability to write and graph linear equations in multiple forms, including real-life modelling situations. They extend their understanding to parallel/perpendicular lines and begin working with linear inequalities.
Lesson 3
Students study quadratic functions, focusing on the shape, vertex, and symmetry of parabolas. They learn to sketch graphs and solve problems involving maximum and minimum values.
Lesson 4
Students explore advanced non-linear functions including cubic, hyperbolic, and exponential graphs, identifying their key features and behaviours. They also begin working with circles and understanding different types of function relationships.
Lesson 5
Students consolidate all concepts through mixed problem solving, including geometry, graph intersections, and optimisation. They apply their knowledge in exam-style questions to build accuracy and confidence.