Linear relationships B
Mathematics K–10 (2022) · Stage 5 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA5-LIN-C-02 graphs and interprets linear relationships using the gradient/slope-intercept formContent dot points
Each dot point has its own page with resources matched to it.
Examine the gradient/slope-intercept form
- Interpret the coefficient of x(m) as the gradient/slope, and the constant (c) as the y-intercept for equations of the form y = mx + c 7 resources · 3 interactive/game
- Find the equation of a straight line in the form y = mx + c, given the gradient/slope and the y -intercept of the line 3 resources · 1 interactive/game
- Graph equations of the form y = mx + c by using the gradient and the y-intercept 4 resources · 1 interactive/game
- Determine the gradient and y -intercept of a straight line from its graph and apply these values to determine the equation of the line 4 resources
- Explain the effect of increasing or decreasing the gradient with or without digital tools 4 resources · 4 interactive/game
- Recognise and describe linear relationships in real-life contexts 2 resources
Find the equations of parallel and perpendicular lines
- Explain that 2 straight lines are perpendicular if the product of their gradients is −1 4 resources · 1 interactive/game
- Find the equation of a straight line that is parallel or perpendicular to another given line by applying y = mx + c 3 resources · 1 interactive/game
Focus area resources
- Unit/PlanningStage 5 Unit 13 – bivariate relationships (sample unit of learning)
- Unit/PlanningStage 5 Unit 6 – constant rates of change (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