Exploring families of functions allows high schoolers compare and contrast properties of functions.  Students discuss properties that include symmetry, max and min points, asymptotes, derivatives, etc.

Context is the key to understanding slope. A real-world application of slope uses a weight loss scenario with a constant rate of change to introduce the concept of slope of a line, before it makes a connection to the ordered pairs...

What variables change heart rate? Young scientists observe the beating heart in Daphnia to understand these variables. They make changes in temperature, chemicals, and other factors as they graph the heart rates. Analysis questions help...

Using this resource, scholars develop graphs that model situations by showing change over time. They answer 15 questions based on information from charts that show growth in weight. They extend the concepts to an assessment section of...

A hands-on lesson using the TI-CBR Motion Detector to provide information to graph and analyze. The class uses this information to calculate the slope of motion graphs and differentiate scalar and vector quantities. There is a real-world...

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,...

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...

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...

Here is a resource that demonstrates growth and the initial state of an equation. In this case, your class will be looking at baseball collections. How many baseball cards did the collector start out with, and how many were added or...

Do animals breathe faster when given more oxygen or more carbon dioxide? Young scientists observe the respiration rates of locusts under a variety of gas concentrations to answer that very question. They collect data, analyze the...

In this chemistry learning exercise, students select answers to 8 multiple choice questions from the drop down box. They identify the factors affecting rates of chemical reactions.

In this Algebra I/Algebra II worksheet, students examine the slope of line as the rate of change between the dependent and independent variables.  The one page worksheet contains two multiple choice questions.  Answers are...

Pupils learn how to find the derivative of a function by applying the definition using limits. Learners understand that the derivative provides the slope of the tangent line and use that information to find the equation of the tangent...

Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...

Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson plan, students solve optimization problems and find rates of change.

In this derivatives worksheet, students identify the partial derivatives of a function, find the rate of change, and determine the maximum and minimum values of a function. This one-page worksheet contains 6 multi-step problems.

Students analyze the patterns in polygons and relate it to the rate of change. In this algebra lesson, students discuss the relationship between the data and the graph of the data.

Middle-schoolers explore the concept linear equations. They use the internet to navigate through videos and problems. Pupils problem solve to determine rates of change, slope, and x and y-intercepts.

For this calculus worksheet, students calculate the rate of change in an isosceles trapezoid. They take the derivative to find their answer.

Learners examine the Windows-Eyes control panel by using dialog boxes, pull-down menus, left and right arrow keys, and shortcut keys. They also change the rate of the screen, keyboard, and mouse voices.

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 instructional activity...

It seems like it should be about three. Pupils learn to get an estimate of the derivative of a function at a point by using the derivative functionality of their graphing calculators. They take that information to determine the equation...

Students solve problems with slopes. In this algebra activity, students identify the slope of a line and relate it to the rate of change.  They graph their lines on the TI and observe changes in the lines.

Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...