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Stage 5 · Linear relationships A · Find the midpoint and gradient of a line segment (interval) on the Cartesian plane · Topic: Linear relationships · Year 9, 10

Plot and join 2 points to form an interval on the Cartesian plane and use the interval as the hypotenuse of a right-angled triangle

Dot point ID k-10-2022-stage-5-linear-relationships-a/lia-mid-stg5-01 · NESA code MA_K_10_CP_LIA_MID_STG5_01 · See it on the NSW Curriculum website ↗

↩SupportBuild the prerequisite skills first · 7 resources ★EnrichExtension & rich tasks · 2 resources

Outcomes for this focus area (MA5-LIN-C-01)

MA5-LIN-C-01 determines the midpoint, gradient and length of an interval, and graphs linear relationships, with and without digital tools

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
Mathsisfun: Gradient (slope)
Maths Is Fun · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
Use it for: Rise over run with interactive line.
Also tagged to: Distinguish between intervals with positive and negative gra…; Apply the gradient formula to find the gradient of the inter…

Simulation

SimulationStarter Drill
PhET Graphing Lines
PhET Interactive Simulations · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
Use it for: Explore gradient and intercept; the Line Game screen gives quick practice.
Also tagged to: Distinguish between intervals with positive and negative gra…; Explain why horizontal intervals have a gradient of 0 and ve…; Explain the effect of increasing or decreasing the gradient …; Explain that parallel lines have equal gradients/slopes and 3 more

Focus area resources

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

Unit/Planning
Stage 5 Unit 2 – working with triangles (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-IND-P-02, MA5-LIN-C-01, MA5-LIN-P-01, MA5-MAG-C-01, MA5-TRG-C-01
Unit/Planning
Stage 5 Unit 6 – constant rates of change (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-EQU-C-01, MA5-EQU-P-02, MA5-LIN-C-01, MA5-LIN-C-02, MA5-LIN-P-01, MA5-RAT-P-01