Ch 9: Applications of Derivatives: Calculus Lesson Plans

About This Chapter

The Applications of Derivatives chapter of this course is designed to help you plan and teach the students in your classroom about topics such as Newton's method, differentiation and optimization. The video lessons, quizzes and transcripts can easily be adapted to provide your lesson plans with engaging and dynamic educational content. Make planning your course easier by using our syllabus as a guide.

Weekly Syllabus

Below is a sample breakdown of the Applications of Derivatives chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.

Day Topics Key Terms and Concepts Covered
Monday Linearization of Functions;
How to Estimate Function Values Using Linearization
Determine travel times and distances by using the process of linearization;
Using linearization to determine velocity
Tuesday What is Newton's Method?;
How to Use Newton's Method to Find Roots of Equations
An explanation of Newton's Method and linearization;
The steps necessary for solving equations with this method
Wednesday Optimization and Differentiation The five steps for solving optimization problems
Thursday Optimizing Simple Systems A formula for solving optimization problems
Friday Optimizing Complex Systems The rules for solving more complex optimization equations

7 Lessons in Chapter 9: Applications of Derivatives: Calculus Lesson Plans
Test your knowledge with a 30-question chapter practice test
Linearization of Functions

1. Linearization of Functions

Over the river and through the woods to Grandmother's house we go ... Are we there yet? In this lesson, apply linearization to estimate when we will finally get to Grandma's house!

How to Estimate Function Values Using Linearization

2. How to Estimate Function Values Using Linearization

Sometimes landing on Mars isn't that easy. You might need to use linearization to estimate if you will crash into the planet, or miss it entirely. Learn how to do just that in this lesson.

What is Newton's Method?

3. What is Newton's Method?

Hang gliding can be perilous, especially if you think you might land in a stinky pigpen. In this lesson, find out how Newton's Method might help you determine whether you'll be covered in mud when you land.

How to Use Newton's Method to Find Roots of Equations

4. How to Use Newton's Method to Find Roots of Equations

Finding the roots of equations usually requires the use of a calculator. However, in this lesson you'll use Newton's Method to find the root of any equation, even when you can't solve for it explicitly.

Optimization and Differentiation

5. Optimization and Differentiation

In this lesson, you can learn what optimization means from a mathematical standpoint. Using the techniques taught in this lesson, you can use the five steps to optimization to figure out practical things, like how much sleep you need to get before an exam.

Optimizing Simple Systems

6. Optimizing Simple Systems

Optimization problems may seem overwhelming, but they can actually be quite simple. In this lesson, learn how to use a handy five-step formula to tackle these daunting problems.

Optimizing Complex Systems

7. Optimizing Complex Systems

In this lesson, you'll learn how to follow a five-step process to solve complex optimization problems by visualizing, defining, writing an equation, finding the minimum or maximum, and answering the question.

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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