Proofs in Plane Geometry
Constructing formal proofs for properties of triangles, circles, and tangents.
About This Topic
Constructing formal proofs for properties of triangles, circles, and tangents.
Key Questions
- What constitutes a rigorous mathematical proof?
- How do we prove properties of similar triangles?
- What are the key theorems for circles and tangents?
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
Planning templates for Additional Mathematics
5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
Unit PlannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
RubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
More in Mathematical Proofs and Modelling
Modelling with Trigonometric Functions
Formulating trigonometric models to solve problems involving tides, pendulums, and other periodic motions.
8 methodologies
Modelling with Calculus
Applying differentiation and integration to model and solve complex real-world optimization and accumulation problems.
8 methodologies