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Ch 26: WEST Math: Rate of Change

About This Chapter

This chapter uses quick, engaging video lessons to help you study the rate of change concepts you need to know for the WEST certification assessment for mathematics. Our instructors are available to offer guidance, reach out to them if you need assistance.

WEST Math: Rate of Change - Chapter Summary

Use these short, entertaining, accessible videos to review important rate of change concepts as part of your WEST Math assessment preparation. Videos can be viewed from any internet-connected device, making study convenient. As you work through the chapter, you will review:

  • How to interpret slopes
  • Average and instantaneous rates of change
  • The mean value theorem
  • Rolle's theorem
  • Derivative properties and graphical representations

Use the lesson quizzes to practice using the information you've reviewed and evaluate your mastery of the concepts. If you need any help with the material, ask our instructors for help.

Objectives of the WEST Math: Rate of Change Chapter

The WEST Mathematics certification is a computer-administered exam of 150 multiple-choice questions. Test content spans five domains as follows: mathematical processes and number sense (19%); patterns, algebra and functions (24%); measurement and geometry (19%); trigonometry and calculus (19%); and statistics, probability and discrete mathematics (19%). You will have four hours and fifteen minutes to complete all 150 items.

Use the resources in this chapter to study the rate of change concepts you'll likely encounter on the assessment that may appear on the trigonometry and calculus section. Lesson quizzes mimic the format of WEST tasks, allowing you to get accustomed to the test style. If you need any advice concerning the information presented here, reach out to our instructors for guidance.

7 Lessons in Chapter 26: WEST Math: Rate of Change
Test your knowledge with a 30-question chapter practice test
Slopes and Rate of Change

1. Slopes and Rate of Change

If you throw a ball straight up, there will be a point when it stops moving for an instant before coming back down. Consider this as we study the rate of change of human cannonballs in this lesson.

Average and Instantaneous Rates of Change

2. Average and Instantaneous Rates of Change

When you drive to the store, you're probably not going the same speed the entire time. Speed is an example of a rate of change. In this lesson, you'll learn about the difference between instantaneous and average rate of change and how to calculate both.

What is the Mean Value Theorem?

3. What is the Mean Value Theorem?

Three people set off on a car trip. They all start at the same time and end at the same time. Learn what calculus says about how fast they traveled along the way as you study the Mean Value Theorem in this lesson.

Rolle's Theorem: A Special Case of the Mean Value Theorem

4. Rolle's Theorem: A Special Case of the Mean Value Theorem

Super C, the human cannonball, is shot into the air at 35 mph, but his average vertical velocity is zero. In this lesson, you will use Rolle's theorem to explain what this means about Super C's flight.

Derivatives: The Formal Definition

5. Derivatives: The Formal Definition

The derivative defines calculus. In this lesson, learn how the derivative is related to the instantaneous rate of change with Super C, the cannonball man.

Derivatives: Graphical Representations

6. Derivatives: Graphical Representations

Take a graphical look at the definitive element of calculus: the derivative. The slope of a function is the derivative, as you will see in this lesson.

What It Means To Be 'Differentiable'

7. What It Means To Be 'Differentiable'

Lots of jets can go from zero to 300 mph quickly, but super-jets can do this instantaneously. In this lesson, learn what that means for differentiability.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the NES Mathematics - WEST (304): Practice & Study Guide course

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