Variation and rates of change B (Path)
Mathematics K–10 (2022) · Stage 5 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA5-RAT-P-02 analyses and constructs graphs relating to rates of change (Path: Stn, Adv)Content dot points
Each dot point has its own page with resources matched to it.
Analyse graphs that are decreasing or increasing at a constant rate
- Describe direct variation graphs as increasing at a constant rate and interpret the gradient of the line as the rate of change
- Interpret and analyse further graphs that exhibit a constant rate of change, including those that are decreasing at a constant rate
Analyse the relationship between graphs and variable rates of change
- Interpret distance–time graphs when the speed is variable, describing the rate of increase or decrease, the initial and final points, constant relationships represented by straight lines and variable relationships represented by curved lines
- Describe the rate of change between variables in a variety of contexts including direct and inverse variation
- Describe qualitatively the rate of change of a graph, using terms such as increasing at a decreasing rate 2 resources
Construct graphical representations of rates of change
Focus area resources
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