Ch 26: ORELA Math: Rate of Change

About This Chapter

Use these quick video lessons to study the rate of change topics you need to know for your ORELA Math certification exam. Please let our instructors know any time you need help or have questions about the material.

ORELA Math: Rate of Change - Chapter Summary

These engaging, fun video lessons, most less than ten minutes long, provide an excellent resource for educators studying rate of change for the ORELA Math certification assessment. As you navigate the chapter material, you will cover:

  • Slope and graphical representations of rate of change
  • Average and instantaneous rates of change
  • The mean values theorem and Rolle's theorem
  • Derivatives and the property of being differentiable

Each lesson is followed by a short self-assessment to let you test your knowledge of the material and decide which concepts need additional review. Consult the video transcripts to locate key terms and ideas. If you need any help, don't hesitate to ask our instructors for guidance.

7 Lessons in Chapter 26: ORELA 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.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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