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Ch 10: Functions: Precalculus Lesson Plans

About This Chapter

The Functions: Precalculus chapter of this course is designed to help you plan and teach the mathematical equations and real life uses for functions 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 Functions: Precalculus 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 What are functions used for? The symbol f, x variable, y variable, y = f(x), function identification, function notation, and the vertical line test
Tuesday Range and domain Possible inputs, possible outputs, graph squishing, real numbers, dividing by zero, and general rules for range
Wednesday Power functions Understanding the formula f(x) = kx^n, graphs of power functions, parabolas, and symmetry
Thursday Radical functions Understanding the importance of domain prior to graphing radical functions, quadratics, u-shaped graphs, and inequality equations to avoid complex numbers
Friday Transformations Translation, rotations, reflections, dilation, how adding or subtracting affects how the graph shifts, and f(x - h) + k

6 Lessons in Chapter 10: Functions: Precalculus Lesson Plans
Test your knowledge with a 30-question chapter practice test
What is a Function: Basics and Key Terms

1. What is a Function: Basics and Key Terms

Mapping numbers sounds complex, but we do it when we buy gasoline. We pump gasoline, and the gas station charges us based on the amount of gas that we pump. Learn how this relates to functions while reviewing the basics and notations in this lesson.

Functions: Identification, Notation & Practice Problems

2. Functions: Identification, Notation & Practice Problems

A function is simply a rule that takes one number and turns it into another. But some special conditions must apply for it to be a true mathematical function. Learn about those conditions and how we write functions here!

What Is Domain and Range in a Function?

3. What Is Domain and Range in a Function?

The domain and range are the possible outputs and inputs of a function. In this lesson, learn about what might restrict the domain and how to figure out the domain and range from a graph.

What is a Power Function? - Definition, Equations, Graphs & Examples

4. What is a Power Function? - Definition, Equations, Graphs & Examples

Power functions have many different varieties of graphs. Use this lesson to distinguish the difference between different types of power functions. Test your knowledge with a short quiz after the lesson!

What is a Radical Function? - Definition, Equations & Graphs

5. What is a Radical Function? - Definition, Equations & Graphs

Radical functions operate very differently than regular functions. This lesson covers the definitions, equations, and graphs that you will need to know to be successful with radical functions.

Transformations: How to Shift Graphs on a Plane

6. Transformations: How to Shift Graphs on a Plane

What is a transformation? Well, it's something that transforms one function into another! To see what I mean and how that looks, check out this lesson!

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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