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This Why Does SSS Work? lesson plan also includes:
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While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by construction, doing a great job of reinforcing the need to take explanations back to definitions and fundamental principles. Practice with the nomenclature and mechanics of transformations is a definite plus as well.
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CCSS:
Designed
Concepts
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Instructional Ideas
- Have the class create similar exercises then switch with a partner to find the series of transformations that map one shape to its image
- Plotting the images on a grid allows for the introduction of coordinate rules for the indicated transformations
Classroom Considerations
- Careful monitoring for proper naming of points in the intermediate steps will make the final step easier
- Creating a template or stencil of the triangle might help learners stuck on making the transformations exact
- Activity specifies colors in instructions which could cause confusion when using black and white copies
Pros
- Great synthesis activity for transformations, proofs, and congruence criteria
- Requires exactness in naming and following directions while providing support in building a rigorous proof
Cons
- Supplementary task link on page 2 links to general Illustrative Mathematics page, not the task or GeoGebra worksheet described
- Teacher notes / answer key are not separated from the student task