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Teaching Introductory Calculus (Integration) by using CO2 Emissions Data


As a high school or undergraduate Mathematics teacher, you can use this set of computer-based tools to help you in teaching topics such as integrationdefinite integralarea under a curve, and Riemann sum in Introductory Calculus.

This lesson plan allows students to understand Riemann sum, calculate the area under a curve using Riemann sum, and explore how this value converges to a definite integral. The activity helps students to apply the Riemann sums method for analysis and comparison of data on CO2 emission, which is considered to be a significant contributor to climate change.

Thus, the use of this lesson plan allows you to integrate the teaching of a climate science topic with a core topic in Mathematics.

Learning Outcome

The tools in this lesson plan will enable students to:

  1. calculate the approximate area under a curve by using the Riemann sums method
  2. compare the results obtained for left and right Riemann sums for the same curve
  3.  explain how the estimate of the area under a curve (using Riemann sum) converges to the definite integral
  4. apply the Riemann sum method to analyze and compare CO2 emissions data for the U.S. and China


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