Area Between Curves: Income and Expenses

This Area Between Curves: Income and Expenses interactive also includes:

Use the area of polygons to calculate the area between curves. Pupils calculate areas under income and expense curves by filling the space with squares and right triangles. Using that information, they determine the profit related to the situation.

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Instructional Ideas
  • Use the activity as an introduction to finding the area between curves
  • Lead a discussion on when the profit (area) would be negative and when it would be positive
Classroom Considerations
  • User must sign up for a free login account
  • Shows students the correct answer if they get the question wrong
  • Challenges learners to determine why the value of the triangle is not equal to half the value of the square—good critical thinking
  • None