Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
GM5-5NA5-7
New NZC (2026)
NZC26-P4-ALG-ER-P-Y10-02
Resources
- Beta: Exercise 18.14, pg 365
Terminology
- angle fact
- linear equation
- quadratic equation
- perimeter
- area
- regular polygon
- similar shapes
- scale factor
Task goals
- State a known geometric fact (an angle rule, a perimeter/area formula, a polygon angle sum, or a similar-shape scale factor) as an equation in terms of the unknown before solving it.
- Interpret labelled diagrams of rectangles, triangles, trapeziums, squares, and L-shapes so the picture drives the algebra rather than the wording alone.
- Solve the resulting equation algebraically -- a one- or two-step linear equation for most angle and perimeter problems, and a quadratic equation for some area problems.
- When an area problem gives a quadratic equation, find both roots and reject the one that does not make sense as a length (reject negative or zero side lengths).
- Check that a final answer makes sense in context -- a length is positive, and an angle is between 0 and 360 degrees.
Where this fits
What leads into this objective, and where it goes next.
Before
Level 2 algebra review
AS91027 Mixed Algebraic Procedures Practice (Achievement)
Merit-Level Algebraic Methods: Multi-Step Worked Problems
You are here
Algebra with geometry
Do
Forming and solving linear equations and linear inequalities with rational number coefficients (e.g. −2/5 x + 5 ≤ −10), giving exact or rounded solutions, and representing the solution on a number line
Statement▸
Year 10 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y10-02
Also under GM5-5:
- Angles in Polygons
- Geometric Reasoning with Parallel Lines and Polygons (Combined)
- Internal and external
- Regular/irregular polygon
Also under NA5-7:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.