ACARA AC9M9SP01, Trigonometric ratios

Year 9 · Space

Recognise that the sine, cosine and tangent ratios stay constant for a given angle in right-angled triangles because of similarity.

Below are free printable maths worksheets that support AC9M9SP01. Print them as PDFs, or generate a fresh one. Every maths answer key is computed in code, so it is never wrong.

Teaching guide

What students learn

Recognise that the sine, cosine and tangent ratios stay constant for a given angle in right-angled triangles because of similarity.

How to teach it

Sort and name 2D and 3D shapes by their properties (sides, angles, faces), then build up to perimeter (add the sides) and area (cover with unit squares).

Worked example

Rectangle 2 cm by 15 cm. Area = ___ sq cm

Answer: 30

Generated and checked in code, so it is correct.

Watch out for

Confusing perimeter and area, and judging a shape by its orientation rather than its properties.