Mathematics·Geometry·procedural
Understanding angles (age 11+)
Apply the properties of angles at a point (360°), on a straight line (180°), and vertically opposite angles to find unknown angles in multi-step problems
Suggested ages 11–13
Evidence of understanding
- Find a missing angle using the fact that angles on a straight line sum to 180°
- Use vertically opposite angles are equal to set up and solve an equation for an unknown
- Combine multiple angle facts in a single diagram to find several missing angles step by step
Assessment prompt
If Understanding angles (age 11+) is given a diagram with several angles marked at crossing lines and some unknown, can they use the rules about straight lines and crossing lines to find all the missing angles step by step?
Standards alignment
7.G.5US · ccss-math
Use facts about supplementary, complementary, vertical, and adjacent angles
Common Core State Standards for Mathematics · 7
KS3.Maths.Geo.10GB · uk-nc-2013
Angle Properties
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3