Learners apply critical thinking skills as they analyze data about the temperature inside a gymnasium during a school assembly. The focus is on representing temperature as a function of time and interpreting input and output values...

Students investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at any...

Some data just doesn't follow a straight path. Learners use line graphs to represent data that changes over time. They use the graphs to analyze the data and make conclusions.

Scholars use their communication skills to express their take on climate change in the ninth installment of the 10-part Discover Your Changing World series. They create ways to deliver their messages on a specific aspect of climate by...

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,...

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.

Looking for a hot date? Pick any day in August, statistically the hottest month in the United States. The 15th lesson in the series of 21 instructs pupils to investigate the August 2007 heat wave through NASA data, daily temperature...

Students test factors that may affect the rate at which sugar dissolve in water. They conduct two studies: One is to test the effect of temperature on the rate of solvation and the other is to test a factor which Students come up with...

Drive home math concepts with an engaging task. Learners follow a verbal description to fill in a table and create a distance-time graph representing a car journey. They then answer questions by interpreting the graph.

Make sure pupils have the skills to move on to the second half of the module with a mid-module assessment task. The formative assessment instrument checks student learning before moving on to the rest of the lessons in the unit.

For this calculus worksheet, students solve problems with trigonometric functions. They take the derivative and find the average rate of change.

Pre-assessments are great to help teachers determine what information their classes lack, what misconceptions they have, and how in depth to teach specific concepts. The first in a five-part series is a pre-assessment of middle...

Can we break the record? Groups use provided data detailing the number of visitors to a blog to determine if the number of blog views breaks the previous record. They must take rates into consideration to make their estimates—a great...

What do the questions look like? Six free-response questions provide pupils with knowledge of how calculus topics appear on the AP® Calculus exam. The questions involve calculator and non-calculator problems by providing mathematical and...

Can a cat have 2,000 descendants in 18 months? To determine if this claim is realistic, individuals must take different pieces of information into account when justifying their responses.

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...

Ninth graders examine the rate of motion and changes in motion using a ramp and a rolling object. They conduct the demonstration, determine the average speed, and describe how a moving object can have zero acceleration and deceleration.

In this acceleration and average speed worksheet, students learn the equations for acceleration and average speed. They match 6 variables with their quantities, they identify speed vs. velocity and scalar vs. vector and they solve 4...

Getting kids thinking about climate change now, will hopefully push them into action when they become adults. Young environmentalists discuss the evidence and causes of climate change seen in the state of California. They brainstorm ways...

Students explore Newton's three laws of motion using a variety of activities. In this physics lesson plan, students calculate the average speed of a vehicle they constructed using distance and time information. They identify and draw the...

Assist your middle school class with one of the most inclusive weathering and erosion labs available. Individuals use sugar cubes and alka-seltzer to demonstrate the process of physical and chemical weathering. They sketch results...

Middle schoolers determine their respiratory rate and explore the factors that affect breathing rate.

In this derivative worksheet, students estimate the derivative of given functions. They identify the slope, the rate of change find the slope of a parabola. This two-page worksheet contains definitions, examples and five problems,

In this velocity worksheet, students determine the average velocity for a trip, graph the distance traveled as a function of time, estimate the slope and identify the instantaneous rate of change of the function. This two-page worksheet...