Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
GM5-10
New NZC (2026)
NZC26-P4-GEO-SHP-P-Y10-01
Resources
- Beta: To determine sides
- Beta: Exercise 22.01, pg 422
- Beta: Exercise 22.13, pg 441
- Beta: Exercise 22.14, pg 442
- Beta: Parallel Skills Exercise 22C, pgs 442 & 443
- Beta: Application: Ex 23.03, pgs 448 & 449
- Dr Austin Maths - Plotting Trigonometric Graphs Practice Grid: PDFQuestions PDF · Answers
- Dr Austin Maths - Mixed Trigonometry Practice Grid: PDFQuestions PDF · Answers
- CorbettMaths on using trigonometry to solve for unknown sidesQuestions PDF · Answers
Terminology
- Trigonometry
- Trigonometric ratio
- Right-angled triangle
- Hypotenuse
- Adjacent
- Opposite
- SOH CAH TOA
- Sine
- Cosine
- Tangent
- Angle of elevation
- Angle of depression
Task goals
- Label the hypotenuse, opposite, and adjacent sides of a right-angled triangle relative to a marked angle, in any orientation.
- Choose the correct ratio (sin, cos, or tan) from the marked angle and the pair of sides involved, using SOH CAH TOA.
- Find a missing opposite, adjacent, or hypotenuse side by substituting into the chosen ratio and solving.
- Round an answer to a stated accuracy (3 significant figures or a given number of decimal places) when the result is not exact.
- Apply the ratios to real-world contexts, including angles of elevation and depression.
Where this fits
What leads into this objective, and where it goes next.
Before
Introduction to Trigonometry: Finding an Angle
Applications of Trigonometric Ratios: Finding Angles
Applications of Trigonometric Ratios: Finding Lengths
You are here
Trigonometric Ratios: Finding a Side
Next
Year 10 is the last year of this phase — the curriculum lists nothing after this. No extension resources on the site yet.
Also under GM5-10:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.