Ch 8: Piecewise & Composite Functions: College Precalculus Lesson Plans

About This Chapter

The Piecewise & Composite Functions chapter of this course is designed to help you plan and teach these function types in your classroom. 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 Piecewise & Composite Functions 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 Piecewise functions Applications of piecewise functions in everyday life; methods for evaluating piecewise functions
Tuesday Domains of piecewise functions Function restrictions; methods for determining function input values
Wednesday Graphs of piecewise functions Steps for graphing piecewise functions and performing translations
Thursday Composite functions Procedures for writing and evaluating composite functions
Friday Problem-solving with functions Methods for manipulating functions to solve for one or more variables

6 Lessons in Chapter 8: Piecewise & Composite Functions: College Precalculus Lesson Plans
Test your knowledge with a 30-question chapter practice test
What are Piecewise Functions?

1. What are Piecewise Functions?

A piecewise function is a certain type of function that is made up of different parts. This lesson will define and describe piecewise functions and teach you how to identify them and how to write them.

How to Find the Domain of Piecewise Functions

2. How to Find the Domain of Piecewise Functions

The domain of any function is all the values that x can be for that function. Piecewise functions are special functions that have different parts with unique rules for each part. This lesson will show you how to find the domain for piecewise functions.

How to Graph Piecewise Functions

3. How to Graph Piecewise Functions

Piecewise functions are specific functions that have more than one piece. There is a special trick to graphing these type of functions, which you will learn in this lesson.

Translating Piecewise Functions

4. Translating Piecewise Functions

Piecewise functions are two or more functions that only use part of a domain. If these functions need to be changed, we can translate them without even having to know the equation.

How to Evaluate Composite Functions

5. How to Evaluate Composite Functions

Sometimes a math function depends on the outcome of another function. This lesson breaks down this chain reaction, called a composite function, and how to evaluate them.

Manipulating Functions and Solving Equations for Different Variables

6. 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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