Generalizing Patterns: The Difference of Two Squares

This Generalizing Patterns: The Difference of Two Squares lesson plan also includes:

After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.

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CCSS: Designed
Instructional Ideas

  • Use the assessment task as a problem of the week, allowing time for the class to come up with solutions
Classroom Considerations

  • While the task starts off with numerical expressions, the lesson does progress to algebraic expressions, so pupils need to have experience with algebra
  • Lesson can be split into two days, as indicated in the teacher guide
Pros

  • Activity encourages young mathematicians to think critically
  • Answer key includes a variety of approaches to find the solution
Cons

  • None