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Mathematics Standard 11–12 – Year 12 – Standard 2 · Algebraic relationships · Reciprocal relationships · Topic: Algebraic techniques · Year 12

Graph a reciprocal relationship of the form y = k/x, with and without using graphing applications

Dot point ID standard-year-12-tba2-algebraic-relationships/dp-922777ad · See it on the NSW Curriculum website ↗

↩SupportBuild the prerequisite skills first · 7 resources ★EnrichExtension & rich tasks · 0 resources

Outcomes for this focus area (MST-12-S2-01)

MST-12-S2-01 represents the relationships between quantities algebraically and graphically to solve problems and make predictions in practical contexts

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

Interactive toolStarter Enrichment
Desmos Graphing Calculator
Desmos · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
Use it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
Also tagged to: Examine the gradient of the tangent to the curve y = a^x at …; Use graphing applications to identify the graphs of y = a^x …; Examine the gradient function of y = a^x with graphing appli…; Establish using graphing applications that replacing x by - … and 82 more
Interactive toolEnrichment
GeoGebra Classic
GeoGebra · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
Use it for: Dynamic geometry and graphing for constructions and proofs.
Also tagged to: Examine the gradient of the tangent to the curve y = a^x at …; Use graphing applications to identify the graphs of y = a^x …; Examine the gradient function of y = a^x with graphing appli…; Establish using graphing applications that replacing x by - … and 84 more

Focus area resources

Checked resources for Algebraic relationships as a whole (not mapped to a single dot point).

Unit/Planning
Mathematics Standard (2024) Year 12 Unit 2 – managing events (part 1)
NSW Department of Education · Sample unit (DOCX) · Editable document · Free · Link checked 2026-10-15 · Australian context, Editable, Teacher notes
Focus areas as stated by NSW DoE on the units page