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 High School Precalculus: Tutoring Solution
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Ch 14: Rate of Change in Precalculus: Tutoring Solution

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About This Chapter

The Rate of Change chapter of this High School Precalculus Tutoring Solution is a flexible and affordable path to learning about rate of change. These simple and fun video lessons are each about five minutes long and they teach all of the information involving rate of change required in a typical high school precalculus course.

How it works:

  • Begin your assignment or other precalculus work.
  • Identify the rate of change concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our high school precalculus tutoring solution will benefit any student who is trying to learn rate of change and earn better grades. This resource can help students including those who:

  • Struggle with understanding velocity and rate of change, slopes and rate of change, derivatives or any other rate of change topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning math visually
  • Find themselves failing or close to failing their rate of change unit
  • Cope with ADD or ADHD
  • Want to get ahead in precalculus
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning rate of change simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live precalculus tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn rate of change on the go!
  • Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

Learning Objectives

  • Find out how to use motion to define the rate of change.
  • Learn to relate slopes and tangents to motion and rate of change.
  • Describe the Mean Value Theorem and represent it graphically.
  • Show how Rolle's Theorem is related to the Mean Value Theorem.
  • Understand the derivative and graph it.
  • Describe what it means to be differentiable.

7 Lessons in Chapter 14: Rate of Change in Precalculus: Tutoring Solution
Chapter Practice Test
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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
Chapter Practice Exam
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Practice Final Exam
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