Education Technology

# Activities

• ##### Subject Area

• Math: Calculus: Applications of the Derivative

9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

4.5

## Relating Rates

#### Activity Overview

Students are given a situation of water draining out of a cylindrical tank in order to explain the process of solving related rates questions.

#### Key Steps

• In this activity, students are introduced to the topic of related rates. Students will work through a problem step-by-step to understand the process of solving problems involving related rates. Self-check open-response and multiple-choice questions help students build comprehension.

• A second example problem further explains the process. The steps are presented in an open-response self-check format. This example of two cars leaving is a typical Pythagorean problem that needs to be carefully differentiated implicitly so as not to forget the Chain Rule.

• Students will apply what was learned to various real-world and graphical problems.