What Is Area?

What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and upper approximations to estimate the area of curved regions. 

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CCSS: Designed
Instructional Ideas

  • Provide a review of approximating irrational numbers
  • Consider using a circle along with the ellipse in the final discussion
Classroom Considerations

  • Some learners may have problems understanding the upper and lower bounds
  • The first installment of a 14-part series
Pros

  • The lesson plans provide suggestions for scaffolding
  • The exit ticket highlights the main concept of the lesson
Cons

  • None
Common Core