In this calculus worksheet, students problem solve 8 word problems involving rates of change in association with high school students. Students work out each problem and give a short explanation of each answer.

Use a hands-on approach to exploring the concepts of related rates in your AP Calculus class. Individuals explore the effect of the rate of change on a variable related to a variable they control. After analyzing the data they...

Which is faster, a Ford or a Ferrari? The short assessment has pupils analyze graphs to determine the rates of change between the two. Individuals interpret the rates of change within the context of speeds of the cars and develop a map...

It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...

Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...

What does dropping a ball look like as a graph? An engaging activity asks learners to record a video of dropping a ball and uploading the video to software for analysis. They compare the position of the ball to time and calculate the...

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

Open this lesson by demonstrating the production of acidic carbon dioxide gas by activated yeast. Emerging ecologists then experiment with seashells to discover the effect of ocean acidification on shelled marine organisms. They measure...

In 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...

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...

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...

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,...

Full of bright maps and interesting information, this presentation details U.S. Geography. Slides include basic facts about size, regions, topography, and demographics, as well as fascinating trivia about the United States, including...

What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.

Win the war of the worlds! Scholars solve a variety of problems related to an alien invasion. They determine where spaceships have landed on a coordinate map, devise a plan to avoid the aliens, observe the aliens, and break a code to...

Life has its ups and downs ... especially if you're an animal! Biology scholars engage in a population study through an inquiry-based lesson. Pupils work together to explore the factors that affect deer populations, then examine the...

Scholars investigate how the tempo of music affects heartbeats. Groups  develop hypotheses about music and its connection to heartbeats before carrying out an experiment. They analyze and present data from their investigations.

Determine how cup stacking relates to linear equations. Pupils stack cups and record the heights. Using the data collected, learners develop a linear equation that models the height. The scholars then interpret the slope and the...

Students use DigiScope technology to investigate Daphinia, popularly known as water fleas. They design, conduct, and report on an experiment to determine the effects of varying water temperatures on the heartbeat rate of Daphnia.

How have Russian politics affected countries on a global stage? The discussion of the Russian Revolution and World War I begins with an analysis of primary resource letters. Learners finish with a project where they create a timeline of...

Students analyze graphs to determine relationships between variables and rates of change. They determine the basic concepts about static reaction forces. They determine the slope and equation of a line.

An assessment presents a chart displaying oil consumption Pupils use the chart to determine the greatest increase in consumption, and then apply that information to figure out when the consumption may reach 100 million barrels a day.

Have you been to Torbury Fair? In the set of four lessons, learners solve a myriad of problems related to a music festival, including situations involving floods, market stalls, cows, and emergency plans. 

Get things moving with this extensive collection of physical science resources. Covering the fundamentals of measurement, graphing, lab safety, and experimental design as well as the specific scientific concepts...