Ch 39: CEOE Middle Level/Intermediate Math: Rate of Change & Derivatives

About This Chapter

Use the lessons in this chapter to get ready for taking the Certification Examinations for Oklahoma Educators (CEOE) Middle Level/Intermediate Math test. Our text and video lessons, quizzes and other tools for study will help you prepare for questions on rate of change and derivatives.

CEOE Middle Level/Intermediate Math: Rate of Change & Derivatives - Chapter Summary

Our instructors developed these lessons for use by Oklahoma teachers as preparatory for CEOE math testing. The information in the lessons will assist in answering test questions on:

  • Understanding velocity and rate of change
  • Slopes as related to rate of change
  • The formula for finding instantaneous rate of change of a function
  • An explanation of the mean value theorem
  • The special case mean value theorem known as Rolle's Theorem
  • Understanding derivatives
  • Graphical representations of derivatives
  • The meaning of differentiable

Most of the lessons are short videos in which our subject matter experts have broken this math into understandable segments. There is also a short text lesson, with useful vocabulary words designated in bold type. A quiz at the end of each allows you to assess if you are getting the information, or if you need to watch any part over again.

8 Lessons in Chapter 39: CEOE Middle Level/Intermediate Math: Rate of Change & Derivatives
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.

Finding Instantaneous Rate of Change of a Function: Formula & Examples

3. Finding Instantaneous Rate of Change of a Function: Formula & Examples

In this lesson, you will learn about the instantaneous rate of change of a function, or derivative, and how to find one using the concept of limits from Calculus.

What is the Mean Value Theorem?

4. 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

5. 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

6. 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

7. 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'

8. 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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Other Chapters

Other chapters within the OSAT Middle Level/Intermediate Mathematics (CEOE) (125): Practice & Study Guide course

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