Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.

This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...

Honing reading and communication skills through the theme of farm animals is the focus of this lesson. Students read a book about Scandinavian farm animals and complete prediction journal activities. They complete a worksheet about the...

Your algebra learners discover that exponential functions, with a base larger than one, outgrow linear functions when the inputs increase sufficiently. Their analysis includes using a graphing calculator to produce tables.

Explore how sound travels as waves with a straightforward lesson that explains the basics of waves in relation to sound. The presentation considers sound waves in both open and closed pipes and shows how to calculate wavelength and...

Um may be the atomic symbol for confusion, but it won't be needed in this lesson. Scholars rotate through seven stations completing experiments, hands-on activities, writing exercises, and analysis. Stations include material on...

In this Algebra I/Algebra II activity, learners evaluate functions. Students graphs functions and determine the domain and range, find the sum, difference, and product of functions, find composite functions and explore the...

Need to build a laser fence on Mars?  In this cute maximizing-area activity, young explorers pretend to be prospectors on Mars and must determine the best way to use 20 meters of fencing in order to maximize their area. In addition,...

For this Pre-Calculus/Calculus worksheet, students graph polynomial functions, identifying the x- and y-intercepts as well as end behavior.  The two page worksheet contains sixty problems.  Answers are included. 

Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...

Physics masters figure out the wavelength of different waves. Looking at a wave graph, they identify different characteristics. Many more problems get them working with both electromagnetic and sound waves. There are a total of 17...

The focus of the fourth unit in the Youth Risk Behavior Survey Curriculum is on healthy eating and exercise. Class members examine healthy habits data from the YRBD Youth Online Tool, learn about the importance of a healthy diet and...

Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...

Students will work cooperatively. In this environmental lesson plan, students will start by discussing an article and its questions prior to receiving a handout. There are two versions of the handout depending if your students are AP or...

Learners identify the end behavior of polynomial graphs. For this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.

Investigate exponential growth and decay. A set of six activities has pupils collecting and researching data in a variety of situations involving exponential relationships. They model these situations with exponential functions and solve...

Explore the mathematical relationship between a solvent and solute. Learners use technology to measure the cooling patterns of a solvent with varying concentrations of solute. Through an analysis of the data, pupils realize that the...

First-time physicists experiment with pendulums in this physics lesson. They vary the weight of the bob, record how long each takes to complete ten period swings, and then calculate the time for one period. They repeat the procedure,...

Eleventh graders investigate inverse functions.  In this Algebra II lesson, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen before.

Fifth graders, working in pairs, select and observe fish in the Aquademics aguarium. They record their observations on worksheets and make graphs displaying the frequency of various fish behaviors. Students then discuss their...

Students examine the concept of radioactive dating. In this radioactive dating lesson, students investigate how to determine the ages of fossils and rocks as they learn about half-life radioactive decay.

Pupils discuss the role of media in their lives and making decisions. In groups, they define violence and identify how it is represented in the type of entertainment they are accustomed to viewing. They compare and contrast behaviors...

Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...

Students graph polynomials functions and analyze the end behavior. In this algebra lesson, student differentiate between the different polynomials based on the exponents. They use a TI to help with the graphing.