About This Chapter
Standard: Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior (CCSS.Math.Content.HSF-IF.C.7c)
About This Chapter
Once students have mastered polynomial functions, they'll be able to successfully graph out a polynomial function as well as find zeros as long as there are useable factorizations. Students will also be able to fully explain end behavior once they've developed a thorough comprehension of polynomial functions.
This standard's lessons will also cover such topics as:
- The properties and factoring of polynomial functions
- Exponentials and simplifying of polynomial functions
- Squares, cubes and more as they relate to graphing monomials
- Clues from the degree of function in relation to graphing polynomials
- Y-intercepts and end behavior of polynomial functions
- Zeros as they relate to graphing completely factored polynomials
- Factoring to find zeros of a polynomial
You'll be able to determine when students have mastered the polynomial functions standard when they fully recognize the factoring and simplifying of polynomial functions. They should also be able to correctly graph polynomial functions. This standard and the lessons can act as preparation for college and such careers as computer programmer, statistician, engineer or economist.
How to Use These Lessons in Your Classroom
Following are a few suggestions for including these lessons in your regular curriculum so that you can be sure to meet common core standards.
Since there are several lessons about graphing, you'll want to make sure that students have a good grasp of them. The day you finish the Polynomials Functions: Exponentials and Simplifying lesson, assign the Graphing Monomials: Cubes, Squares, and Higher for homework and give students a few practice questions before having them take the corresponding quiz the next day to gauge how much they've learned. After that, you could include a few graphing questions with each homework assignment so that students can fully familiarize themselves with the graphing polynomial functions.
Allow Students to Make Quizzes
Help the students to help themselves by allowing them to create short quizzes and answer keys for each other in class. After determining the answer keys are correct, pass quizzes out (making sure not to give students their own quizzes). This is a good way to keep students engaged throughout the lesson and mix things up a bit.
To give students an idea of what they'll be learning next, show them a preview of the next video lesson. This will get them thinking about the next lesson and how to incorporate it with everything that they've learned up until that point. If you don't have time during class, you can assign it as part of their homework. Let them know that they don't have to watch the entire video, just enough that they have an idea of what's coming up next. You might find that this helps your class move through the lessons faster and easier.
1. Polynomial Functions: Properties and Factoring
Everything from projectile motion to trigonometric functions can be described by polynomials. Review factoring, polynomials and quadratic functions in this lesson.
2. Polynomial Functions: Exponentials and Simplifying
How do we keep track of a rapidly multiplying population of bunnies? Well, those are simply powers of 2. Review powers and simplify problems with exponents in this lesson.
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Other chapters within the Common Core Math - Functions: High School Standards course
- Common Core HS Functions - Basics
- Common Core HS Functions - Sequences
- Common Core HS Functions - Graphing
- Common Core HS Functions - Linear Functions
- Common Core HS Functions - Quadratic Functions
- Common Core HS Functions - Common Functions & Transformations
- Common Core HS Functions - Rational Functions
- Common Core HS Functions - Exponential & Logarithmic Functions
- Common Core HS Functions - Trigonometric Functions