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Stage 5 · Logarithms (Path) · Examine logarithms both numerically and graphically · Topic: Polynomials & logarithms · Year 9, 10

Use graphing applications to compare and contrast graphs for the functions y = a^x and y = log_a⁡x

Dot point ID k-10-2022-stage-5-logarithms-path/log-aly-stg5-04 · NESA code MA_K_10_CP_LOG_ALY_STG5_04 · See it on the NSW Curriculum website ↗

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

Outcomes for this focus area (MA5-LOG-P-01)

MA5-LOG-P-01 establishes and applies the laws of logarithms to solve problems (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

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 Logarithms (Path) as a whole (not mapped to a single dot point).

Unit/Planning
Stage 5 Year 10 – maths in science elective (sample unit of learning)
NSW Department of Education · Sample unit (DOCX) · Editable document · Free · Link checked 2026-10-15 · Australian context, Editable, Teacher notes
Outcome codes found in document: MA5-LOG-P-01, MA5-NLI-P-01, MA5-RAT-P-01, MA5-RAT-P-02