Stage 5 · Non-linear relationships C (Path) · Graph hyperbolas and describe their features and transformations · Topic: Non-linear relationships & functions · Year 9, 10
Use graphing applications to graph, compare and describe hyperbolic relationships of the form y = k/x for integer values of k
Dot point ID k-10-2022-stage-5-non-linear-relationships-c-path/nlc-hyp-stg5-01 · NESA code MA_K_10_CP_NLC_HYP_STG5_01 · See it on the NSW Curriculum website ↗
Outcomes for this focus area (MA5-NLI-P-01)
MA5-NLI-P-01 interprets and compares non-linear relationships and their transformations, both algebraically and graphically (Path: Adv)Core resources for this dot point
On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.
Interactive tool
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
Worksheet
- Corbettmaths practice questions: Types of graph: reciprocalUse it for: Free printable graded practice questions (with answers) on types of graph: reciprocal for drill or a quick check.
Video
- VideoStarterCorbettmaths video: Types of graph: reciprocalUse it for: Short worked-example video on types of graph: reciprocal to model the method before practice or for flipped revision.
Focus area resources
Checked resources for Non-linear relationships C (Path) as a whole (not mapped to a single dot point).
- Unit/PlanningStage 5 Unit 11 – applying exponentials (sample unit of learning)
- Unit/PlanningStage 5 Unit 12 – investigating parabolas (sample unit of learning)
- Unit/PlanningStage 5 Unit 9 – surveying (sample unit of learning)
- Unit/PlanningStage 5 Year 10 – maths in science elective (sample unit of learning)