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Ch 11: Function Operations: Precalculus Lesson Plans

About This Chapter

The Function Operations chapter of this course is designed to help you plan and teach the students in your classroom how to identify, compose and apply functions and more. 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 Function Operations 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 How to Add, Subtract, Multiply and Divide FunctionsMethods of performing basic operations with functions
Tuesday How to Compose Functions; Applying Function Operations Practice Problems The process of writing equations and combining functions;
Practical experience with function operations
Wednesday Compounding Functions and Graphing Functions of Functions;
Domain and Range of Composite Functions: Definition and Examples
The methods of compounding and graphing functions;
How one function's domain and range influences another's
Thursday Inverse Functions;
Understanding and Graphing the Inverse Function
Techniques for writing, finding and graphing inverse functions
Friday One-to-One Functions: Definitions and Examples;
Manipulating Functions and Solving Equations for Different Variables
The algebraic definition of one-to-one functions;
How to solve equations for different variables

9 Lessons in Chapter 11: Function Operations: Precalculus Lesson Plans
Test your knowledge with a 30-question chapter practice test
How to Add, Subtract, Multiply and Divide Functions

1. How to Add, Subtract, Multiply and Divide Functions

Adding, subtracting, multiplying and dividing functions is about as simple as substituting in expressions and then just doing whichever operation it asks you to do. Check out this video lesson to see some examples of this and learn just how easy it is!

How to Compose Functions

2. How to Compose Functions

Function composition is the process of putting two or more functions together. This video lesson will explain how this process works and also show you how to evaluate functions that have been composed.

Applying Function Operations Practice Problems

3. Applying Function Operations Practice Problems

In this lesson, learn how to apply all the different properties of functions to solve complex problems. From function operations and composition to domain and range, get your practice here!

Compounding Functions and Graphing Functions of Functions

4. Compounding Functions and Graphing Functions of Functions

We know that functions map numbers to other numbers, so what happens when you have a function of a function? Welcome to functions within functions, the realm of composite functions!

Domain & Range of Composite Functions: Definition & Examples

5. Domain & Range of Composite Functions: Definition & Examples

Learn what makes a function a composite function and also learn how the parts of a composite function determine its domain. Also in this video lesson, learn about the range of composite functions.

Inverse Functions

6. Inverse Functions

Inverse functions are two functions that do exactly opposite things. Check out this lesson to learn about how to write inverse functions, find inverse functions, and predict whether or not they exist.

Understanding and Graphing the Inverse Function

7. Understanding and Graphing the Inverse Function

If you use a function to map a to b, is there a way to go back from b to a again? Learn how to find and graph inverse functions so that you can turn a into b and back into a.

One-to-One Functions: Definitions and Examples

8. One-to-One Functions: Definitions and Examples

Watch this video lesson to learn what makes a one-to-one function different from a regular function. Learn a simple test you can use to check whether a function is one-to-one or not.

Manipulating Functions and Solving Equations for Different Variables

9. Manipulating Functions and Solving Equations for Different Variables

Functions can be manipulated to solve for many different variables. There are certain rules to follow, but if the rules are adhered to, solving equations can be quite simple. This lesson will show you how.

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 High School Precalculus Syllabus Resource & Lesson Plans course

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