Unit Plan
CK-12 Foundation

Ck 12: Analysis: Graphing Polynomials

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] This lesson covers finding the minimum(s), maximum(s), end behavior, domain, and range of a polynomial graph. Students examine guided notes, review guided practice,...
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Khan Academy

Khan Academy: Algebra I: Find Inverse Functions

For Students 9th - 10th Standards
Practice finding the formula of the inverse function of a given polynomial, radical, or rational function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Handout
Richland Community College

Richland Community College: Steps to Graphing Rational Functions

For Students 9th - 10th Standards
This site describes the steps to follow when graphing a rational function.
Handout
Richland Community College

Richland Community College: Rational Functions and Asymptotes

For Students 9th - 10th Standards
This site contains basic information on rational functions. Gives definition, how to find domain and roots, and how rational functions apply to asymptotes and holes in the graph.
Interactive
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Rational Functions

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains how to find the roots of polynomials of degree greater than two. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...
Handout
Purple Math

Purplemath: Graphing General Polynomials, Radicals, Rationals, and Piecewise Fun

For Students 9th - 10th Standards
This resource provides an overview of graphing, giving examples of general polynomial, radical, rational, and piecewise functions. Also includes advice on common mistakes made by students.
Activity
Texas Instruments

Texas Instruments: The Letter Product Game

For Teachers 9th - 10th
This activity will encourage students' powers of deduction through a word game. This will allow a review of factoring integers. A simple extension allows a classroom discussion that will evolve into the Zero Product Theorem, essential to...
Activity
Texas Instruments

Texas Instruments: The Slope of the Tangent Line (Part2)

For Teachers 9th - 10th
In this activity, students graph the cubic and quadratic functions. They also graph the slope values of the tangent lines for each of the function graphs.
Activity
Texas Instruments

Texas Instruments: The Quest for Roots of Higher Order Equations

For Teachers 9th - 10th
Students learn how to approximate the roots of any polynomial equation of any order by first using tables, and then by tracing along the graph to the point where the curve intersects
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: La Function Cuadratica. Parabolas.

For Students 9th - 10th Standards
This is an interactive activity to explore the second-degree polynomial function. It goes from the simplest case, y=x^2 to different translations.
Activity
Math Medics

S.o.s. Math: Continuity

For Students 9th - 10th
This tutorial gives students a basic review of continuity with definitions and examples. Contains practice problems with links to the answers.
eBook
Math Planet

Math Planet: Algebra 2: Polynomial Functions: Descartes' Rule of Sign

For Students 9th - 10th
Provides detailed information about Descartes' rule of sign through the use of examples.
Website
Purple Math

Purplemath: General Polynomials

For Students 9th - 10th Standards
Confused about graphing or just need a refresher? This explanation focuses on graphing higher-power polynomials along with radical functions, rational functions, and piecewise functions. Plenty of examples are included.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A ced.a.1 & a rei.d.1: Intro. To Polynomials: College

For Teachers 9th - 10th
This task serves as an introduction to polynomials or as an application after students are familiar with exponential functions. Aligns with A-REI.D.11.
Activity
Texas Instruments

Texas Instruments: Polynomial Addition, Subtraction

For Teachers 9th - 10th
This StudyCard stack teaches that, when linear functions are added, the slope of the sum is equal to the sum of the slopes, likewise for y-intercepts. Includes quadratic and up polynomials.
Activity
Oregon State University

Calculus Quest: Power Functions

For Students 9th - 10th
This CalculusQuest site is details the power function by looking at the significance of the function, standard notation, the rules of exponentiation, domains and graphs of power functions, and also calculations. This site is a good...
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Khan Academy

Khan Academy: Average Rate of Change of Polynomials

For Students 9th - 10th Standards
This quiz tests your ability to find the average rate of change of a function over a given interval.
Handout
Oregon State University

Calculus Quest: Exponential Functions

For Students 9th - 10th Standards
This CalculusQuest site provides a basic introduction to exponential functions, covering the laws of exponents and exponential growth and decay. At the bottom of the page are links to exponential equations, exercises, and the...
Activity
Other

Montana State University: Analyzing a Periodic Function

For Students 9th - 10th Standards
A complex analysis of periodic functions, including advanced calculus and theorems. Includes many graphs.
Lesson Plan
Google

Google for Education: Measuring Complexity of Function or Algorithm

For Teachers 9th - 10th Standards
In this lesson, students learn how to measure the complexity of the function or algorithm in a math problem and understand how this applies to real world situations.
Unit Plan
Khan Academy

Khan Academy: Positive & Negative Intervals of Polynomials

For Students 9th - 10th
Given a polynomial, determine the intervals at which it is positive or negative. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Activity
Texas Instruments

Texas Instruments: Multiplying/factoring Polynomials

For Teachers 9th - 10th
Students will be given binomials to multiply or trinomials to factor. The teacher will enter the binomials/trinomial into activity center and students must send in other form. Correct answers should match teacher graph.
Activity
Texas Instruments

Texas Instruments: Explore End Behavior

For Teachers 9th - 10th
Guide your students to the discovery that the end behavior of a polynomial function is determined by the degree of the polynomial and the sign of the leading coefficient by using this activity from Holt, Rinehart, & Winston's Algebra...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Multiplying Polynomials

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers multiplying polynomials. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.

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