Non-linear relationships B
Mathematics K–10 (2022) · Stage 5 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA5-NLI-C-02 identifies and compares features of parabolas and exponential curves in various contextsContent dot points
Each dot point has its own page with resources matched to it.
Graph and examine quadratic relationships
- Graph and compare parabolas of the form y = (kx)² and y = (kx)² + c using graphing applications 3 resources · 3 interactive/game
- Identify and describe the key features of parabolas of the form y = (kx)² and y = (kx)² + c including the vertex, x- and y-intercepts, axis of symmetry and concavity
Graph and examine exponential relationships
- Graph and compare exponential curves of the form y = a^x using graphing applications 3 resources · 2 interactive/game
- Describe features of exponential curves including the y-intercept, asymptote and the nature of the curve for very large and very small values of x 4 resources · 1 interactive/game
Distinguish between linear, quadratic and exponential relationships by examining their graphical representations
- Associate graphs of straight lines, parabolas and exponential curves with the appropriate equations 1 resource · 1 interactive/game
- Recognise non-linear relationships in real-life contexts and solve related problems 1 resource · 1 interactive/game
- Use graphing applications to solve a pair of simultaneous equations where one equation is non-linear and interpret the solution 2 resources · 2 interactive/game
Focus area resources
- Unit/PlanningStage 5 Unit 11 – applying exponentials (sample unit of learning)
- Unit/PlanningStage 5 Unit 12 – investigating parabolas (sample unit of learning)
Stage 5 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 03)
- Unit/PlanningSample scope and sequence: Stages 4–5 core and selected paths (NESA no. 04)
- Unit/PlanningSample scope and sequence: Stage 5 core and all paths (NESA no. 05)
- Unit/PlanningSample scope and sequence: Stage 5 core (NESA no. 02)
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 06)
- Unit/PlanningSample scope and sequence: Stage 5 core and selected paths (NESA no. 01)
- Unit/PlanningSample scope and sequence: Stages 4–5 stage based (NESA no. 08)
- Unit/PlanningStage 5 – sample scope and sequence
- Unit/PlanningStage 5 – stage based – sample scope and sequence