In this calculus activity, 11th graders solve functions and rational expressions using the 1st and 2nd derivatives. They calculate the rate of change of an area using the derivative. There are 4 questions.

When you buy a home for $100,000, you pay $100,000—right?  On the list of important things for individuals to understand, the lesson presents the concept of interest rates and loan amortization using spreadsheets and online sources....

If you need a variety of questions for reactions and rate calculations, this resource is for you. Inspire your students to manipulate values and equations to fit the questions. The word problems are quite involved and require young...

How do we predict future population growth? Young researchers investigate various factors affecting the size of our population. As they calculate and interpret graphs to determine factors that could potentially affect increases...

One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...

It is not always easy to walk the straight and narrow. In the sixth portion of a nine-part unit, groups actively recreate a graph depicting motion. Individuals walk toward or away from a motion detector while trying to match a given...

Our final proposal for the cost of the bridge requested is ... In the last segment in a series of 10, pairs work together to develop a proposal for a city bridge design. The class completes a cost comparison between concrete and steel to...

For this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts.  The twenty-two page worksheet contains explanation of the...

A valuable resource provides a list of concepts that young chemists should grasp. The topics include energetics, kinetics, equilibria, redox reactions, and the halogen group. Employ this as a guide for your own curriculum planning, or a...

A lesson introduces the reproduction rate of E. coli though a video. Then scholars complete a data table and graph of reproduction rates in ideal conditions as well as less than ideal conditions. 

Which requires more water--a bath or a shower? Given some specific criteria, learners attempt to answer the question. A video shows how long it takes to fill a gallon container using a faucet and a shower head. Using that information and...

Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data,...

High schoolers calculate the SA/V ratio and volume of phenophthalien agar that are cut into different shapes. They then let ammonia diffuse into the various pieces of agar and determine the effect that SA/V had on the rate of diffusion.

While this is not the traditional, step-by-step lesson plan, it is chock-full of material that you can easily incorporate into your earth history unit. Its main purpose is to serve as a guide to using a three-part film, The Day the...

Why does it take Pluto 90,000 days to orbit the sun, but it only takes Mercury 88 days? An interactive lesson helps pupils find a connection between the speed of orbit and distance a planet is from the sun. The simulation allows for...

I got a different answer, are they both correct? While working through modeling problems interpreting graphs, the question of precision is brought into the discussion. Problems are presented in which a precise answer is needed and...

Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...

An exam divides the six free-response questions into calculator use and no calculator use items. The non-calculator items are conceptual in nature and test whether pupils understand the calculus concepts. Scholars explain their answers...

Show how exponential growth can look linear. Pupils come to understand the importance of looking at the entire picture as they compare the US population to the world population. Initially, the populations look linear with the same rate...

Let's finish a functional review. Pupils work through 31 items to review the concepts learned in Unit 8. Scholars determine whether a mapping is a function and identify the domain and range. Using function notation, individuals then...

Does the exam look pupils expected? Released free-response questions from the AP® Calculus BC exam allow teachers and pupils to see and practice with actual exam questions. Three of the questions come from the AB portion of the course...

In this analyzing data worksheet, students review a graph from the USA Today. Students study the graph and answer four questions about the graph. There are also two extension questions included.

Pupils explore linear functions in this lesson when they collect and analyze data as a chemical reaction proceeds. Learners record pressure versus time data and model the data as a linear function. They also examine the concept of slope...

How many great, great grandchildren can one have? Scholars estimate the number of descendants a woman can have after 110 years. They use information about the average number of children per family and life expectancy to make this estimate.