Algebra 2 Online! Henrico County Public Schools, Virginia
Module - Exploring Polynomial Functions
Lesson 1 - Polynomial Functions
Objective

The student will be able to evaluate polynomial functions and identify general shapes of the graphs of polynomial functions.

## Area of an Irregular Polygon

Jimmy went for a 4 hour bike ride on Saturday morning. The graph below displays his speed at different times of the ride. Find the area of the polygon formed by this graph. Hint: You will need to divide this polygon into smaller sections that you know how to find the area of. There are many ways to do this, but if you need help, try checking the check boxes for suggested sections. Use the tools at the top of the window to draw in your own sections. On your own paper, show your work and find the total area of the irregular polygon.

Click to view the Geogebra lesson

SOL

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)
AII.6 -   The student will recognize the general shape of function (absolute value, square root, cube root, rational, polynomial, exponential, and logarithmic) families and will convert between graphic and symbolic forms of functions. A transformational approach to graphing will be employed. Graphing calculators will be used as a tool to investigate the shapes and behaviors of these functions.

AII.7 c, d, e, & f - The student will investigate and analyze functions algebraically and graphically. Key concepts include
a)   domain and range, including limited and discontinuous domains and ranges;
b)   zeros;
c)   x- and y-intercepts;
d)   intervals in which a function is increasing or decreasing;
e)   asymptotes;
f)   end behavior;
g)   inverse of a function; and
h)   composition of multiple functions.
Graphing calculators will be used as a tool to assist in investigation of functions.

Common Core Standards

Warm-up
Lessons
Videos

Explore Learning

Geogebra

Internet Sites
1. Notes: Domain and Range notes from GMU
2. Notes: Functions notes from maths online
3. Notes: Functions versus Relations notes from Purplemath.com
4. Notes: Vertical and Horizontal Asymptotes at Purplemath.com *New for 2009*
5. Notes: End Behavior of Polynomials at Purplemath.com *New for 2009*
6. Notes: End Behavior of Polynomials at Virtual Math Lab *New for 2009*
7. Activity: Cubic Function Activity from Explorelearning.com
8. Activity: Absolute Value Activity from Explorelearning.com
9. Video Tutor - Polynomails