Continuity: Precalculus Lesson Plans - Videos & Lessons

About This Chapter

The Continuity chapter of this course is designed to help you plan and teach the students in your classroom about the theories and applications of continuities and discontinuities. 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 Continuity 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	Continuity in a Function	Examples of continuities in functions
Tuesday	Discontinuities in Functions and Graphs	A look at various kinds of discontinuities
Wednesday	Regions of Continuity in a Function	An explanation of regions around jumps and multi-step functions
Thursday	Intermediate Value Theorem: Definition	The applications of this theorem
Friday	Intermediate Value Theorem: Examples and Applications	The process of calculating the roots of an equation

5 Lessons in Chapter 31: Continuity: Precalculus Lesson Plans

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1. Continuity in a Function

Travel to space and explore the difference between continuous and discontinuous functions in this lesson. Learn how determining continuity is as easy as tracing a line.

2. Discontinuities in Functions and Graphs

In this lesson, we talk about the types of discontinuities that you commonly see in functions. In particular, learn how to identify point, jump and asymptotic discontinuities.

3. Regions of Continuity in a Function

Can Earth ever compete with extraterrestrial UFOs? In this lesson, you'll learn that not all functions are continuous, but most have regions where they are continuous. Discover how to define regions of continuity for functions that have discontinuities.

4. Intermediate Value Theorem: Definition

A UFO and a jet take off and ascend to 30,000 feet along discontinuous and continuous paths, respectively. In this lesson, learn about the intermediate value theorem and why the jet has to cross 15,000 feet.

5. Intermediate Value Theorem: Examples and Applications

Many problems in math don't require an exact solution. Some problems exist simply to find out if any solution exists. In this lesson, we'll learn how to use the intermediate value theorem to answer an age-old question.

Chapter Practice Exam

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Practice Final Exam

Test your knowledge of the entire course with a 50 question practice final exam.

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Visit the High School Precalculus Syllabus Resource & Lesson Plans page to learn more.

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