Education Technology

Relating Rates- IB

Subject Area
Math: IB: Analysis-Approaches
Math: IB: Applications-Interpretations
Math: Calculus: Differential Equations
Level
9-12
Activity Time
50 Minutes
TI Calculator
TI-84 series
Resource Types
Lessons
Exam Prep

Relating Rates- IB

Activity Overview

In this activity, students are able to apply their knowledge of finding a derivative and using implicit differentiation as they are introduced to the topic of related rates. 

Objectives

  • Students will be introduced to related rates.
  • Students will use differentiation, including implicitly, to apply related rates to real world situations.
  • Students will try to make a connection with how to understand these topics in IB Mathematics courses and on their final assessments.

Vocabulary

  • Related Rates
  • Differentiation
  • Implicit
  • Rate of Change

About the Lesson

In this activity, students are able to apply their knowledge of finding a derivative and using implicit differentiation as they are introduced to the topic of related rates. In several problems, students will have two variables, which are both changing with time. With each problem, one variable’s rate of change at a given instant will be known and the student will need to find the second variable’s rate of change at that same instant.

 *Note: There is an optional IB Practice Questions DOC for students who may be preparing for the IB Exam. 

Subject Area
Math: IB: Analysis-Approaches
Math: IB: Applications-Interpretations
Math: Calculus: Differential Equations
Level
9-12
Activity Time
50 Minutes
TI Calculator
TI-84 series
Resource Types
Lessons
Exam Prep
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