Angles around a point

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Learning objective overview

Master Teaching Guide coverage for this objective.

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.

Students must include geometric reasoning.
Developing students are students can figure out the angles, but not communicate their reasoning.
Geometric reasoning to be included in exam – check our last’s year EYE.
Angles on a line
Angles around a point
Vertically opposite angles
Angles in triangles