Ch 26: NMTA Math: Rate of Change

About This Chapter

If you're preparing to take the NMTA Math certification assessment, use these fun, interesting videos to review the rate of change concepts you need to know. Our lesson quizzes let you test your understanding of the material you've covered.

NMTA Math: Rate of Change - Chapter Summary

These quick, entertaining videos can be viewed on any Internet-enabled device so you can study the rate of change and prepare for the NMTA Math assessment while you're on the go. As you work through this chapter, you'll get illustrations of the following concepts:

  • Slope and graphical representations of rate of change
  • The difference between average and instantaneous rates of change
  • The mean value theorem and Rolle's theorem
  • Derivatives and the property of being differentiable

After each video, make sure to take the follow-up quiz so you can practice using the theorems and graphing techniques presented in the lesson. If you have any questions about the rate of change, please let our instructors know.

Objectives of the NMTA Math: Rate of Change Chapter

You'll have four hours and fifteen minutes to work through the 150 multiple-choice questions on the NMTA Math certification assessment. The lesson quizzes in this chapter let you practice using the rate of change concepts you'll need to know for the exam, and they let you get comfortable with the NMTA format. You can also use them to get an idea of how quickly you'll be able to work through the test.

The NMTA Math exam evaluates New Mexico educators in five areas: calculus and trig; stats, probability and discrete math; geometry and measurement; math processes and number sense; and patterns, algebra and functions. The first four areas take up 19% of the test each, and the last takes up the final 24%.

7 Lessons in Chapter 26: NMTA 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

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the NMTA Mathematics (304): Practice & Study Guide course