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. 

Concepts

area, area formulas, area of rectangles, area of polygons, area of circles

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Additional Tags

math

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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

HSG-GMD.A.1 MP1 MP3