Properties of Equality and Congruence
Students will apply algebraic properties of equality and geometric properties of congruence to justify steps in proofs.
About This Topic
Students will apply algebraic properties of equality and geometric properties of congruence to justify steps in proofs.
Key Questions
- Compare and contrast the properties of equality with the properties of congruence.
- Explain how the transitive property applies to both algebraic equations and geometric figures.
- Construct a short proof using only properties of equality and congruence.
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Planning templates for 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.
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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.
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