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Ch 60: MTEL Math: Rate of Change

About This Chapter

Brush up on your knowledge of rate of change with help from the short video lessons in this chapter. Self-assessment quizzes and a chapter exam are available to test your readiness to take the MTEL Mathematics assessment.

MTEL Math: Rate of Change - Chapter Summary

This comprehensive overview of rate of change is designed to improve your ability to answer questions on the MTEL Math exam. Upon completion of this chapter, you will be ready for the following:

  • Describing velocity and the rate of change
  • Discussing slopes and the rate of change
  • Sharing the definition of mean value theorem
  • Explaining how Rolle's theorem is a special case of the mean value theorem
  • Defining and discussing graphical representations of derivatives
  • Providing the meaning of being 'differentiable'

The resources in this chapter spare you the hours you would spend identifying and compiling materials you'll need to address on the exam. Instead of conducting research, you can review prepared lessons presented by quality instructors with a wealth of knowledge on rate of change.

7 Lessons in Chapter 60: MTEL Math: Rate of Change
Test your knowledge with a 30-question chapter practice test
Velocity and the Rate of Change

1. Velocity and the Rate of Change

Running from your little sister or just window-shopping, your speed is just a measure of how fast you move, or how your position is changing over time. In this lesson, learn about how velocity is a rate of change.

Slopes and Rate of Change

2. 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.

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 MTEL Mathematics (09): Practice & Study Guide course

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