Ch 15: Polynomial Functions: Precalculus Lesson Plans

About This Chapter

The Polynomial Functions: Precalculus chapter of this course is designed to help you plan and teach the formulas for calculating and graphing out the points of polynomials 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 Polynomial 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 Polynominal terminology and notation Polynomial functions, coefficients, leading term, degree, term, lead coefficient, function notation, and polynomial examples
Tuesday Basic polynomial graphs First-degree polynomial, using zero, factored form, multiplicities, sign-on intervals, and large-scale behavior
Wednesday Intervals and behavior Long run and short run behavior, known roots, positive and negative intervals, and calculable roots
Thursday Advanced graphing Local minimums and maximums, cubics, quintics, quartics, and the Cartesian plane
Friday Pascal's triangle and the binomial theorem Pyramid of binomial coefficients, coefficients of the expansion, symmetry, variable, expand, and the binomial theorem formula

8 Lessons in Chapter 15: Polynomial Functions: Precalculus Lesson Plans
Test your knowledge with a 30-question chapter practice test
Terminology of Polynomial Functions

1. Terminology of Polynomial Functions

After watching this video lesson, you will be able to understand and use the words associated with polynomial functions like a pro. You will see words, such as leading coefficient, and you will immediately know what it is referring to.

How to Evaluate a Polynomial in Function Notation

2. How to Evaluate a Polynomial in Function Notation

This lesson will review how to evaluate polynomials in function notation. Along with an analogy to explain the process, examples will be given and worked during the lesson.

Understanding Basic Polynomial Graphs

3. Understanding Basic Polynomial Graphs

This lesson will cover understanding basic polynomial graphs. The lesson focuses on how exponents and leading coefficients alter the behavior of the graphs.

Finding Intervals of Polynomial Functions

4. Finding Intervals of Polynomial Functions

Watch this video lesson to learn how you can find the intervals of a polynomial function. Also learn how to find out whether each interval is negative or positive.

Short Run & Long Run Behavior of Polynomials: Definition & Examples

5. Short Run & Long Run Behavior of Polynomials: Definition & Examples

Watch this video lesson to learn how you can use the graph of a polynomial to help you explain the polynomial function. Learn how to explain the behavior of the polynomial at the origin and at the far ends.

How to Graph Cubics, Quartics, Quintics and Beyond

6. How to Graph Cubics, Quartics, Quintics and Beyond

Finding the graph of a polynomial isn't too hard. If you can graph, you already know the major steps! With a couple rules and helpful memorizing tools, you will be graphing polynomials in no time!

Pascal's Triangle: Definition and Use with Polynomials

7. Pascal's Triangle: Definition and Use with Polynomials

Pascal's Triangle is defined and discussed briefly. Following the introduction to the triangle, its use in expanding polynomial powers is elaborated with examples.

The Binomial Theorem: Defining Expressions

8. The Binomial Theorem: Defining Expressions

In this lesson, students will learn the binomial theorem and get practice using the theorem to expand binomial expressions. The theorem is broken down into its parts and then reconstructed.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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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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