Shapes and angles: a learning progression
Identify shapes by their properties, then reason about lines, angles, and geometric relationships.
Before you begin
Recognize straight and curved boundaries and compare positions.
Readiness depends on the ideas you can use, not only your age or grade. Start earlier in the sequence when an example feels unfamiliar.
How the skill develops
- Name and sort shapes by side and corner properties.
- Distinguish points, lines, segments, and rays.
- Measure angles and use complementary, supplementary, and vertical relationships.
- Use properties to justify conclusions instead of relying on how a picture looks.
What grade is this taught?
Our catalog includes this progression from kindergarten through grade 10. That is a map of the practice available here, not a rule that every school uses the same schedule. Earlier grades may introduce models that later grades formalize.
The sequence is our teaching organization, informed by the published curriculum reference. High-school courses and calculus enrollment vary; check your school’s syllabus for placement decisions.
Build your next practice steps
Mark skills you already feel comfortable with. We’ll suggest the next unchecked skills in this sequence. This is a self-selected path, not a test score.