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...

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...

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...

Going up? Wait, it might be going down! Learners watch a video to see how to use the derivative and critical points to find where a function is either increasing or decreasing. Individuals use the rate of change to solve real-world...

Put math in a real-life context to increase connections to the concept. Pupils view a short video that first reviews the connection between derivatives and rates of change. They learn how to interpret the derivative in contextual...

Jump at the chance to use the idea of rates. Young mathematicians watch part of a clip of a Japanese TV show where a contestant jumps rope as fast as possible. They use the data for the number of jumps and the number of seconds shown in...

Give a round of applause for completing the task. Scholars watch a video that shows an extremely fast clapper and a timer. The activity requires applying concepts of rates and proportional reasoning to estimate the number of claps in one...

What proportion of learners will benefit from the lessons on proportional reasoning? Class members learn about proportional relationships, from unit rates to writing equations for proportional relationships. Then, they learn to use...

In this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...

Explore the concept of money and research its origin. There are many concepts related to business math, thusly, there are many formulas used to make calculations around money. Exchange rates of money in different countries, interest,...

Learn about credit ratings and how it plays a role in the function of small businesses. Learners use their knowledge of good and bad credit to role play and determine good credit vs. bad credit in the area of small businesses.

Pupils calculate the revolution and circumference of circles. In this calculus lesson, students derive the formulas for their given shape. They use the d=rt to calculate the distance and rate of travel.

In this ratw of work and motion worksheet, students solve 14 word problems. Six of the problems are labeled class work, and 8 are labeled homework. Answers to all problems are included at the bottom of the page.

High schoolers examine how photosynthetic rates can change by using different qualities of light. They practice using spectrophotometer and the scientific method to detect the absorbance values in light treatments.

Students experiment with the decomposition rate of garbage. They discover that environments are fragile and need to be protected and resources are not always used wisely. They then think about their own environment and then about the...

Submerge yourself in the study of slope. Scholars investigate a situation involving slope and the rate of change of a submarine. An additional example further explores the concept of slope by changing one of the conditions of the submarine.

Fill your mind with math as you think about filling a pool. Given information about the rates of two pipes, one filling a pool and one draining a pool, learners determine a piecewise function that models the volume of water in the pool...

Ecology explorers or beginning biologists view a time-lapse film of decaying strawberries. They discuss how decomposition occurs and what factors might affect the rate of decay. Alone, the lesson plan is lacking engaging attributes....

In this word problem activity, learners solve thirty-six application problems.  These problems include: mixture problems, rate problems, age problems, and consecutive integer problems.

Are you looking for a reading resource about the efficiency of power systems? Here is one that introduces the output/input ratio, measurement of energy by joules or calories, and efficiency ratings. For STEM classes that are learning...

For use in conjunction with the 2002 McGraw-Hill/Irwin US Economics text, this presentation highlights key points and important vocabulary. Specific economic concepts and theories, R & D expenditures, rate-of-return curve and...

Every year, the moon moves 3.8 cm farther from Earth. In the 11th part of 22, classes use the distance formula. They determine the distance to the moon based upon given data and then graph Galileo spacecraft data to determine its movement.

Your young bankers compare earning interest accumulated yearly and monthly to decide which method most increases their balance. Using an exponential function to model the bank balance affords the learners more practice connecting...

The class fills in a handout - How Appearances Change During Puberty.  They then discuss the changes that both boys and girls go through and make some comparisons of the differences between boys and girls . Hopefully this class is a...