Functions are for forming context models. A PowerPoint file contains 11 questions for learners to answer. It covers the high school SBAC Claim 1 Target L item specifications and requires interpreting functions, determining appropriate...

Tie up everything in one differentiable bow. Pupils work through 20 problems to review the concepts from the unit. The problems range from finding the average rate of change to finding the derivatives of various functions that require...

Lead your class in exploring their local communities as well as the general environment. As they determine continental distributions by investigating minerals, rocks, and fossils located in their local region, pupils construct...

Be integral to the learners in the classroom. Pupils use integrals, differentiation, and limits to solve the free-response questions from an AP® Calculus BC exam. Items cover topics such as area under a curve, particle motion, average...

Determine the average on a curve. The class finds graphical representations of averages and expresses them both symbolically and on the graph. The assessment requires class members to justify using average to describe graphs.

Ice is nice, and its condition on the planet has a significant effect. Junior geoscientists experiment with ice melting in both water and on land to discover how each affect the rising sea level. This detailed lesson outline even...

Don't table the resource—use it now. An AP® Calculus curriculum module encourages the use of tabular data throughout the course. It provides some example topics, such as rate of change, net change, and average value of a function, where...

In this college level algebra instructional activity, pupils determine the domain and range of a function, determine the average rate of change given an interval and the function, and graph a polynomial function. The two-page...

Don't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based lesson helps them keep it in check! The second lesson in a three-part series asks learners to analyze the rate of change of different...

Explore linear functions! In this Algebra I lesson, mathematicians graph data in a scatter plot and use a graphing calculator to find a linear regression and/or a median-median line. They use the model to make predictions.

At some point the rate of change must be the average. Pupils first see the definition of the Mean Value Theorem and hear an explanation of it in simple terms. The helpful video then compares the Mean Value Theorem with the Intermediate...

This short handout addresses the concept of slope in two different ways: geometrically and analytically. Start with a brief description of slope, then use graphical representations to compare positive vs. negative slope and zero vs....

Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...

How far have California's Channel islands moved? What was the rate of this movement? Class members first examine data that shows the age of the Hawaiian island chain and the average speed of the Pacific Plate. They then watch West...

What exactly is the fiscal cliff? What are the effects of changing income tax rates and payroll tax rates? Your learners will begin by reading news articles and examining graphs illustrating the "Bush tax cuts" of 2001 and 2003. They...

Do all liquids evaporate at the same rate? Young scientists observe the evaporation rate of three different liquids. They measure the time, the temperature, and the change in energy. After comparing the chemical formulas, scholars...

In this limits and derivatives worksheet, students solve 18 multiple choice and short answer questions.  Students find the limits and derivatives of functions.

Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...

Studying function means more than simply learning a formula. Learners must use functions to think through four problems and find solutions. Each task utilizes a different concept from a study of functions. Class members might...

Not all chemical reactions happen at the same rate because some, like explosions, occur quickly and some, like rusting, occur over time. Here, learners explore chemical reactions and their rates in the 16th lesson of 36. Through readings...

Learners investigate the climate changes occurring locally, regionally and globally over the last one hundred years. They brainstorm and predict whether the current year's weather was warmer or colder than last year then check the...

Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...

Your learners analyze a table of real-life data in order to write an equation that best models the information. Exponential, quadratic, and linear rates of changes are all possibilities in this task.

Investigate nonlinear motion through an analysis using the Pythagorean Theorem. Pupils combine their algebraic and geometric skills in the 24th lesson plan of this 25-part module. Using the Pythagorean Theorem, scholars collect data on...