Refine Your Results

Content Curators

Grades

Subjects

Resource Types

Standards

70 reviewed resources for instantaneous rate of change

8:36
Lesson Planet

Instantaneous Rates of Change

For Students 8th - 12th Standards
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...
Lesson Planet

Exploration 1: Instantaneous Rate of Change Function

For Students 11th - 12th
In this function worksheet, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.
Lesson Planet

Average and Instantaneous Rates of Change

For Students 11th - Higher Ed
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...
Lesson Planet

Instantaneous Rate of Change of a Function

For Teachers 10th - 12th Standards
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...
Lesson Planet

Average Rate of Change, Difference Quotients, and Approximate Instantaneous Rate of Change

For Teachers 9th - 12th Standards
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...
Lesson Planet

Lesson #20 Rates of Change and Velocity

For Teachers 10th - 12th
Learners 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...
Lesson Planet

Derivatives: Instantaneous Rate of Change

For Teachers 11th - 12th
Young scholars explore the concept of derivatives.  For this derivatives lesson, students find the derivatives of the cosine function on the Ti-Nspire.  Young scholars use the definition of derivative to find the derivative of the cosine...
Lesson Planet

Average Rate of Change

For Teachers 9th - 12th Standards
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...
Lesson Planet

Internet Phone Subscribers Soar

For Teachers 11th - 12th
High schoolers investigate logistic models by making a scatter plot of internet phone users over 5 years. They find a logistic model that fits their data and then discuss what the instantaneous rate of change means in the context of the...
Lesson Planet

The Babylonian Algorithm, Limits and Rates of Change

For Students Higher Ed
For 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...
Lesson Planet

Move My Way: A CBR Analysis of Rates of Change

For Teachers 9th - 12th Standards
Learners match a given velocity graph and sketch the corresponding position graph using a graphing calculator. After collecting data from their everyday life, high schoolers use specific functions on their calculators to create graphs...
Lesson Planet

Related Rates of Car Speeds

For Students 11th - Higher Ed
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...
Lesson Planet

Tangent Lines

For Teachers 10th - 12th Standards
Making the leap from graphing functions to talking about the slope of curves is eased into with the help of worksheets and presentations like this one. With an emphasis on connections to limits and velocities, without ever saying the...
Lesson Planet

Introduction to Calculus

For Teachers 10th - Higher Ed Standards
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...
Lesson Planet

Man vs. Beast: Approximating Derivatives using Human and Animal Movement

For Teachers 11th - Higher Ed
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...
Lesson Planet

Rates Of Change

For Teachers 9th - 12th
Learners 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...
Lesson Planet

Rate of Change

For Teachers 12th
Twelfth graders explore the use of the derivative to determine the rate of change of one variable with respect to another.  In this calculus lesson, 12th graders investigate the relationship between average and instantaneous velocity. ...
Lesson Planet

Chemical Kinetics

For Students 9th - 12th Standards
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...
Lesson Planet

AP Calculus Practice Exam

For Students 11th - 12th
In this Calculus learning exercise, learners 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...
Lesson Planet

1999 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
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...
9:07
Lesson Planet

Newton Leibniz and Usain Bolt

For Students 10th - 12th
What do Usain Bolt and calculus have in common? Using Usain Bolt as an example of distance traveled over a period of time, Sal shows why you need differential calculus to answer the question of how fast something is traveling at a...
Lesson Planet

Mean Value Theorem and Rolle's Theorem

For Students 11th - 12th
This Mean Value Theorem and Rolle's Theorem worksheet is very thorough in explaining the two Theorums and showing the formulas.  There are six prractice problems for classwork, and eight additional problems for homework.
Lesson Planet

Derivatives

For Students 9th - 12th
In this calculus worksheet, students take the derivative of functions and identify the instantaneous rata of change. There are 20 questions.
Lesson Planet

Kinetics Worksheet

For Students 11th - Higher Ed
In this kinetics learning exercise, students use concentration-time date tables to determine the rate of reaction and reaction order at each temperature. This learning exercise has 4 problems to solve.