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Khan Academy

Khan Academy: Algebra I: Exponential vs. Linear Growth Over Time

For Students 9th - 10th Standards
Practice analyzing the end behavior of two functions that model similar real-world relationships, where one function is exponential and the other is polynomial. Students receive immediate feedback and have the opportunity to try...
Lesson Plan
PBS

Pbs Teachers: Building Boxes [Pdf]

For Teachers 9th - 10th
By determining the dimensions necessary for building a box with the greatest volume, students will explore the world of polynomial and rational expressions. Graphing calculators can be used for this activity.
Activity
Texas Instruments

Texas Instruments: Math Today: Humidity Makes Air Feel Hotter Iii

For Teachers 9th - 10th
Investigate the relationship among humidity, air temperature, and the heat index while learning about modeling data, evaluating functions, and describing the end behavior of a function. Students will use graphing calculator technology to...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Factorization of Quadratic Expressions

For Students 8th - 9th Standards
[Free Registration/Login may be required to access all resource tools.] Learn how to factor quadratic expressions.
Handout
Purple Math

Purplemath: Polynomial Graphs: End Behavior

For Students 9th - 10th Standards
Explains how to recognize the end behavior of polynomials and their graphs. Points out the differences between even-degree and odd-degree polynomials, and between polynomials with negative versus positive leading terms.
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.
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Other

University of Wisconsin: Basic Algebra

For Students 9th - 10th Standards
This college site offers a variety of problems and answers. Problems are divided into topic areas for easy access. Also offers quizzes with each topic.
Whiteboard
ClassFlow

Class Flow: Functions and Their Graphs

For Teachers 9th - 10th Standards
[Free Registration/Login Required] Functions can be specified in a number of ways. Students concentrate on functions given by equations involving independent and dependent variables and begin to recognize the different forms to find the...
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...
Handout
Purple Math

Purplemath: Graphing Overview: Straight Lines

For Students 9th - 10th Standards
This resource provides an overview of graphing for various types of functions, instruction on graphing straight lines and also, includes advice on common mistakes made by students.
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
In Spanish. In this unit you will examine the plot of a second -degree polynomial function. You will establish similarities and differences between the graphs of two second-degree polynomial functions from their coefficients.
Activity
Texas Instruments

Texas Instruments: Hurricane Hunters: Tracking Katrina and Rita

For Teachers 9th - 10th
In this activity students can use data collected on Hurricanes Katrina and Rita to study functions, predictions, and probability models. Students will track the two hurricanes to see how the paths of the hurricanes affected the Gulf...
Activity
Richland Community College

Richland Community College: Math 116 Lecture Notes

For Students 9th - 10th Standards
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Activity
Texas Instruments

Texas Instruments: Taylor Polynomials

For Teachers 9th - 10th
Students learn to define a Taylor polynomial approximation to a function f of degree n about a point x = a. They also learn to graph convergence of Taylor polynomials. They use Taylor polynomials to approximate function values.
Unit Plan
University of Saskatchewan (Canada)

University of Saskatchewan: Triangles

For Students 9th - 10th
This site from the University of Saskatchewan provides an explanation of similar triangles, the Pythagorean theorem, and the distance between arbitrary points in a plane. Example problems for each of these concepts are provided.
Unit Plan
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Solving Polynomial Inequalities

For Students 9th - 10th
"Dr. Math" responds to a student question on how to find the solution to a polynomial inequality. Dr. Math's solution is found through analyzing the graph of the function.
Activity
Texas Instruments

Texas Instruments: Finding Extreme Values

For Teachers 9th - 10th
In this activity, students can use symbolic algebra and graphing to find the extreme values for a polynomial function.
Activity
Texas Instruments

Texas Instruments: Box It Up (A Graphical Look)

For Teachers 6th - 8th
Students graph the relationship between the length of the sides of the cut-out squares and the volume of the resulting box. They trace the graph to decide the best square-size which can result in a box of maximum volume.
Handout
Savvas Learning

Math Captain: End Behavior

For Students 9th - 10th
This site provides an explanation of the end behavior of functions. Covers end behavior as it relates to function models, rules, polynomials, asymptote, functions, and graphs.
Website
Math2

Math2

For Students 9th - 10th Standards
This is a site for students and teachers of all grade levels. If you are looking for math tables, general information about math topics, or you would like to ask a question, this is the site to visit.
Interactive
Interactive Mathematics

Interactive Mathematics: Differentiation

For Students 9th - 10th
Explore the world of Calculus through differentiation. Focusing on areas such as limits, tangents to curves, and derivatives, this site shows you how to solve problems based on the discoveries of Sir Isaac Newton and Gottfried Leibniz....
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Khan Academy

Khan Academy: Solve Equations Graphically

For Students 9th - 10th
Solve advanced and complicated equations using the power of graphs.
Interactive
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Quadratics

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains quadratic functions, including graphing functions and solving equations using factoring. There are example problems solved, problems for the student to attempt, and answers to the...