Support · Stage 5 · Variation and rates of change B (Path)
Support 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
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.
Prerequisite dot points
Graph equations representing direct variation, with or without digital tools
Stage 5 · Variation and rates of change A (Path) Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
Solve problems involving direct or inverse variation using an equation
Stage 5 · Variation and rates of change A (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: Directly and inversely proportionalUse it for: Direct and inverse variation explained with examples and questions.
- Corbettmaths practice questions: Proportion: directUse it for: Free printable graded practice questions (with answers) on proportion: direct for drill or a quick check.
- WorksheetDrillKuta free worksheet: Direct and inverse variationUse it for: Printable skills-practice sheet with answer key on direct and inverse variation; good for drill or homework.
- WorksheetDrillKuta free worksheet: Direct variationUse it for: Printable skills-practice sheet with answer key on direct variation; good for drill or homework.
- VideoStarterCorbettmaths video: Proportion: directUse it for: Short worked-example video on proportion: direct to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Proportion: inverseUse it for: Short worked-example video on proportion: inverse to model the method before practice or for flipped revision.
Recognise and describe inverse variation from graphs, noting that the graph of y = k/x is a curve
Stage 5 · Variation and rates of change A (Path) Draft mapping
- Corbettmaths practice questions: Proportion: GraphsUse it for: Free printable graded practice questions (with answers) on proportion: graphs for drill or a quick check.
- VideoStarterCorbettmaths video: Proportion: GraphsUse it for: Short worked-example video on proportion: graphs to model the method before practice or for flipped revision.