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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
GM5-5
New NZC (2026)
NZC26-P4-GEO-SHP-P-Y9-02
Resources
- Alpha textbook: Angles at a point, Ex 25.10, pg 408-410
- CorbettMaths on basic angle rulesQuestions PDF · Answers
- Beta: Exercise 18.04, pgs 345 & 346
- Beta: Exercise 18.05, pgs 347 & 348
Terminology
- angle around a point
- full revolution
Task goals
- Find a missing numeric angle around a point, given the other angles, using the fact that angles around a point sum to $360^\circ$.
- Find each of several equal angles that together make a full turn around a point.
- Solve for an unknown $x$ when the angles around a point are given as algebraic expressions.
- Solve angles-around-a-point problems where the angles are given as a ratio.
- Solve multi-step problems combining algebraic expressions and word descriptions (e.g. one angle twice another, a third angle offset from another) that together make a full turn.
- Identify and explain the error in a diagram or statement where the given angles around a point do not sum to $360^\circ$.
- Create and justify their own set of angles around a point that sum to $360^\circ$, including a reflex angle.
Where this fits
What leads into this objective, and where it goes next.
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Angles around a point
Also under GM5-5:
For teachers
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