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Assessment

Coordinates of Equilateral Triangles

Curated and Reviewed by Lesson Planet
This Coordinates of Equilateral Triangles assessment also includes:

Can it be constructed? The task poses the question whether it is possible to have an equilateral triangle with its vertices located at integer coordinates. Pupils work with their knowledge of trigonometric ratios and the Pythagorean Theorem to determine whether they can build it.

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CCSS: Designed
Concepts
coordinate geometry, equilateral, equilateral triangles, pythagorean theorem, coordinate plane, integers, tangent, triangles, cosine, sine
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Additional Tags
math
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Instructional Ideas
  • Create groups from the class members that attach the problem similarly to share
  • Determine where the points B and C would be if A was at the origin
Classroom Considerations
  • It is beneficial if the class understands how to determine the trigonometric ratios for a 60-degree angle
Pros
  • Includes multiple solutions in the answer key
  • Answer key has links to other tasks that incorporate the same standards
Cons
  • None