Mathematics lessons for IB® Diploma Programme

Bounded Areas

Activity Overview

In this lesson, students will compare the Riemann Sum area estimates with the exact bounded area of a curve and the x-axis.

Objectives

Students will practice and discuss applications of finding the area bounded by a curve and the x-axis.
Students will apply this information to finding the area bounded by two curves.
Students will try to make a connection with how to understand these topics in both IB Mathematics and AP Calculus and on their final assessments.

Vocabulary

Riemann Sums
Underestimate

Overestimate
Definite Integrals

Bounded Areas
Concavity

About the Lesson

This activity is done mainly by hand, but uses the TI-84 family as an aid to the problems.

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