Here's a great lesson that looks at slope as an instantaneous change. Using an estimated tangent line, the presenter shows the class how to find an approximation for the instantaneous rate of change. Scholars determine the slope of the...

In this function learning exercise, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page learning exercise contains approximately 20 problems.

Ramp up the average rate of change—instantly. Learners use their knowledge of the formula to find the average rate of change to find the instantaneous rate of change. The presenter shows pupils an interactive that demonstrates finding...

How can you determine the rate of change on a curve? Pupils use the interactive to discover what happens with the average rate of change as the point move closer to the other. Using the definition of the derivative, learners find that it...

Pupils draw the graph of a door opening and closing over time. They graph a given function on their calculators, create a table of values and interpret the results by telling if the door is opening or closing and evaluate the average...

Pupils, with the assistance of their TI-84 Plus / TI-83 Plus calculators, distinguish meanings from right, left and symmetric difference quotients that include rate of change and graphical interpretations. They utilize symmetric...

The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra lesson. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots of...

Learners observe and calculate slopes. In this algebra lesson, students graph equations and determine the pace at which the slope is changing. They use the navigator to see the change as they graph the lines around.

Be instantly transfixed by the idea of instantaneous rates of change. Scholars watch an informative video that introduces the fathers of calculus, Newton and Leibniz. They then learn about instantaneous rates of change by first...

Speed up your pupils' understanding of derivatives. Two cars travel in perpendicular distances to each other. With the aid of the interactive, learners visualize the situation. Pupils use the derivative to calculate the instantaneous...

Students investigate speed. In this rate of change lesson, students complete a rate/time/distance table to determine the average m.p.h. of a given trip. They listen and follow along with the lecture and examples to determine the average...

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...

Learners match a given velocity graph and sketch the corresponding position graph using a graphing calculator. After collecting data from their everyday life, students use specific functions on their calculators to create graphs and...

In this successive approximations worksheet, students use the Babylonian algorithm to determine the roots of given numbers. They identify the limits of a function, and compute the rate of change in a linear function. This 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...

Gain an understanding of the test before taking your own. Scholars develop an understanding of how calculus concepts appear on the AP® exam. The six released questions come from across the curriculum and include particle movement and...

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...

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...

For this Calculus worksheet, students are provided with practice problems for their exam.  Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of...

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...

Learners make mathematical argument using the concept of Limit. For this algebra lesson, student calculate the instantaneous rate of change from the linear graph. They use a TI-calculator to create a visual of the graphs.

In this kinetics worksheet, students use concentration-time date tables to determine the rate of reaction and reaction order at each temperature. This worksheet has 4 problems to solve.

In this derivative worksheet, students solve ten multiple choice and ten free response problems.  These problems include: derivatives of trig functions, tangent lines, parametric equations, and instantaneous rates of change.

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