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Mathematics Extension 1 11–12 – Year 12 · Further applications of calculus · Differential equations · Topic: Calculus · Year 11, 12

Form a slope field for a first order differential equation using graphing applications

Dot point ID extension-1-year-12-further-applications-of-calculus/dp-9d37ac73 · See it on the NSW Curriculum website ↗

↩SupportBuild the prerequisite skills first · 2 resources ★EnrichExtension & rich tasks · 0 resources

Outcomes for this focus area (ME1-12-05)

ME1-12-05 applies calculus to solve problems involving polynomials, further rates of change, areas and volumes and differential equations

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