Education Technology

Optimization - IB

Subject Area
Math: Calculus: Applications of the Derivative
Math: AP Calculus: AP Calculus
Level
9-12
Activity Time
45 Minutes
Software
TI-Nspire™ CX
TI-Nspire™ CX CAS
TI Calculator
TI-Nspire™ CX series
TI-Nspire Version
5.4
Resource Types
Lessons
Exam Prep
Format
TNS

Optimization - IB

Activity Overview

Students learn how to use the second derivative test to find maxima and minima in word problems and solve optimization in parametric functions.

Objectives

  • Students will use the second derivative test to find and verify maxima and minima in word problems.
  • Students will solve optimization in functions and further explore, as time and teacher permit, using parametric functions as well.
  • Students will try to make a connection with how to understand these topics in IB Mathematics courses and on their final assessments.

Vocabulary

  • Maximize
  • Minimize
  • Constraint
  • Critical Points

About the Lesson

In this activity, students will learn how to use the second derivative test to find maxima and minima in word problems and solve optimization in functions and parametric functions. Students will be finding a function’s critical points by hand and through the handheld.

 Students will use the file Optimization.tns to help guide them through the activity. 

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

Subject Area
Math: Calculus: Applications of the Derivative
Math: AP Calculus: AP Calculus
Level
9-12
Activity Time
45 Minutes
Software
TI-Nspire™ CX
TI-Nspire™ CX CAS
TI Calculator
TI-Nspire™ CX series
TI-Nspire Version
5.4
Resource Types
Lessons
Exam Prep
Format
TNS
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