Bounded Areas
Math: Calculus: Definite Integrals and Applications
Math: AP Calculus: AP Calculus
9-12
50 Minutes
TI-84 series
Lessons
Bounded Areas
Activity Overview
In this TI-84 family 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.
Download Files
Math: Calculus: Definite Integrals and Applications
Math: AP Calculus: AP Calculus
9-12
50 Minutes
TI-84 series
Lessons
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