| Title | Description |
| Interactive Math Applications
| A collection of interactive math applications. It includes calculators, graphing tools, algebra applications, matrices, etc. Good for someone who has a bit of a background on the subjects listed. |
| CK12
| This website is full of courses for every subject and grade level. The math course includes several applets for a variety of topics. |
| Gizmos
| This website has a collection of applets for grade levels 3-12. This site focuses on math and science applets for a wide variety of topics. |
| Green's Applet Page
| This site has a collection of applets. Most of these applets are games. These applets cover a series of mathematical topics such as polynomials, lines, inequalities, factoring, arithmetic, etc. |
| MSTE Online Resource Catalog
| This site is a catalog of applets that focus on math and science. The mathematical topics that these applets cover are algebra, geometry, measurement, reasoning and proof, etc. |
| Title | Description |
| Roots of Polynoimal Equations
| This applet helps one learn how to use the graph of polynomial functions of higher degrees (degree 4 and above) to find that polynomial function's roots. |
| Adding Polynoimal Expressions
| This applet helps one learn how to add polynomial expressions. |
| Polynomials and Linear Factors
| This applet helps one see the connection between the linear factors of a polynomial function and its roots. |
| Graphs of Polynoimal Functions
| This applet helps one make connections between polynomial functions and their graphs by manipulating a polynomial function up to the fourth degree. |
| Sums and Differences
| This applet helps one compare the graphs of two polynomial functions and the graph of their sum and/or difference. |
| Modeling of Factorization
| This applet helps one see visually what is going on when one factors a quadratic equation with a leading coefficient greater than 1. |
| Title | Type | Description |
| Polynomials
| Website | This is a link to a website that gives a very good basic description of polynomials. It teaches what polynomials are, vocabulary related to polynomials, examples and non-examples of polynomials, etc. It is a very simple and straightforward explanation. |
| What are Polynomials?
| Video | This is a link to a video that explains what polynomials are. |
| Simplifying Polynomials
| Video | This is a link to a video that explains how to simplify polynomials. |
| Sketching Polynomial Functions
| Video | This is a link to a video that explains how to sketch polynomial functions. It also explains the information needed in order to sketch a polynomial function. |
| Brown Math
| Website | This is a link to a website that has explanations for different ways to solve polynomial equations. |
| Math is Fun
| Website | This is a link to a website that has a very simple explanation of how to solve polynomial equations. |
As you use the applet below ask yourself the following questions:
How does the graph of f(x) compare to the graph of g(x) when a=2? When a=-2? When a=0.5? When a=0?
How does the graph of f(x) compare to the graph of g(x) when b=3? When b=-1? When b=0.75? When b=0?
Based on your observations, what can you conclude about the effect a and b have on theh graph of the function sin(x)?
As you use the applet below ask yourself the following questions:
How is slider a connected to the graph of f(x)?
What relationship do you notice between the roots of the polynomial in the denominator and the horizontal asymptotes?
What happens to the horizontal asymptotes when the polynomial in the denominator has no roots? Why do you think this occurs?
Based on your observations, what can you conclude about the roots of the polynomial in the numerator and the polynomial in the denominator?
For students, use the following code on
Desmos to gain some practice with graphs of polynomial functions:
GDPJYG
For teachers, use this link to view and assign this activity to your class:
Desmos Polynomial Activity