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This Looking More Carefully at Parallel Lines lesson plan also includes:
- Congruence, Proof, and Constructions - Module Overview (PDF)
- Congruence, Proof, and Constructions - Module Overview (Doc)
- Looking More Carefully at Parallel Lines (Doc)
- Looking More Carefully at Parallel Lines (PDF)
- Looking More Carefully at Parallel Lines (Doc)
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Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then examine the alternate interior angles.
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CCSS:
Designed
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Instructional Ideas
- Use each example as guided instruction; learners will need guidance with language and notation
Classroom Considerations
- Time suggestions are provided, but allow extra time if needed to develop the concepts
- Requires prior experience with constructions and parallel lines cut by a transversal
Pros
- Mathematically challenging lesson that encourages deep thinking and justifications
- Teaching guidance is provided that highlights the connections and conclusions pupils should make
Cons
- Uses a ruler to measure a midpoint during a construction; for a true construction, the midpoint should be found using a compass and straightedge only