Activity
University of Vienna (Austria)

Math Online: Functions

For Students 9th - 10th Standards
This interactive site uses applets to show sample graphs of each simple power function, a function plotter, graph puzzles, and more. Great site.
Activity
Texas Instruments

Texas Instruments: The Remainder Theorem, Polynomial Expansion, and Tangent Line

For Teachers 9th - 10th Standards
In this Derive activity, students use the Remainder Theorem to find a tangent line to the graph of a polynomial function.
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.
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.
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,...
Activity
Interactive Mathematics

Interactive Mathematics: Polynomial Functions and Equations

For Students 9th - 10th Standards
Want to find the roots of a polynomial function? Learn how, using several methods in this tutorial. Graphing and Scientific Notebook are used on the main page. Click on the "Dinosaur Method" link at the bottom of the page to see 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
Cuemath

Cuemath: Functions

For Students 9th - 10th Standards
In this mini-lesson, students will learn about the world of functions. They will explore topics such as how to represent a function, conditions for a function, how to solve a function, types of functions, and various graphs of functions....
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
American Association of Physics Teachers

Com Padre Digital Library: Open Source Physics: Special Functions Model

For Teachers 9th - 10th
This downloadable java simulation shows a variety of special functions. Functions included are Legendre polynomials, Chebyshev polynomials, and Bessel functions.
Unknown Type
Khan Academy

Khan Academy: Algebra Ii: Zeros of Polynomials (Factored Form)

For Students 9th - 10th Standards
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Activity
Curated OER

Polynomial Functions of the First Degree

For Students 9th - 10th Standards
A java applet that lets you graph a first degree polynomial and see how changing the coefficients changes the graph.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Evaluating and Graphing Polynomials

For Students 9th - 10th
Twenty-two problems present a variety of practice evaluating and graphing polynomials. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution"...
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...
Graphic
William Mueller

William Mueller: Families of Functions

For Students 9th - 10th Standards
Meet the Function Family! Each member of the family has examples of their graphs and descriptions of the types of real-world situation that produce those graphs.
Activity
Texas Instruments

Texas Instruments: Translations of Parent Graphs

For Teachers 9th - 10th
This activity utilizes the TI-Navigator and Activity Center to explore translations of a parent graph.
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
Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Interactive Calculus Tool

For Students 9th - 10th
Investigate graphs of polynomial functions, tangent lines, derivatives, and area under a curve with this interactive applet.
Activity
Math Medics

S.o.s. Math: Algebra

For Students 9th - 10th Standards
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Running Time

For Teachers 9th - 10th
This task provides an application of polynomials in computing. Students are asked to calculate the running time of algorithms for loading images of different sizes. They then graph the running time polynomials and decide which is more...
Handout
Purple Math

Purplemath: Graphing Rational Functions: Introduction

For Students 9th - 10th Standards
To graph a rational function, you find the asymptotes and the intercepts, plot a few points, and then sketch in the graph. Once you get the swing of things, rational functions are actually fairly simple to graph. This resources provides...
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: Intermediate Algebra

For Students 9th - 10th
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...
Activity
Richland Community College

Richland Community College: Algebra Lecture Notes

For Students 9th - 10th Standards
This site from Richland Community College provides lecture notes to a class on Algebra. It covers a wide array of topics including functions, quadratic equations, inequalities, and much more.
Unknown Type
University of Saskatchewan (Canada)

University of Saskatchewan: Algebra 2 Review

For Students 9th - 10th
A more advanced review of Algebra II concepts allows students to test their readiness for higher level math courses. Topics range from absolute value to rational expressions.