Hinge Theorem and Triangle Inequalities
Students will use the Hinge Theorem and its converse to compare side lengths and angle measures in two triangles.
Key Questions
- Compare the Hinge Theorem to the Triangle Inequality Theorem.
- Predict the relationship between the third sides of two triangles given two congruent sides and differing included angles.
- Justify how the Hinge Theorem can be used to solve problems involving inequalities in triangles.
Common Core State Standards
Suggested Methodologies
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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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