Corbett Maths
Instantaneous Rates of Change
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...
Flipped Math
Calculus AB/BC - Average and Instantaneous Rate of Change
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...
EngageNY
Interpreting Rate of Change and Initial Value
Building on knowledge from the previous instructional activity, the second instructional activity in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate...
West Contra Costa Unified School District
Average Rate of Change
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...
CK-12 Foundation
Average and Instantaneous Rates of Change
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...
Corbett Maths
Average Rate of Change
Simply find the slope to find the average rate of change. A short video provides the definition of the average rate of change. Using the definition, pupils calculate the average rate of change to solve problems that cover finding average...
Curated OER
Building Understanding of Rate of Change/Slopes Using Alice
Learners explore slope as a rate of change. In this eighth grade mathematics lesson, students investigate real-world problems to determine rate of change and transform it into a linear representation, thus determining slope. Learners...
Curated OER
Exploration 1: Instantaneous Rate of Change Function
In this function activity, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page activity contains approximately 20 problems.
Curated OER
Rate of Change 1
In this rate of change worksheet, pupils use functions to determine the velocity of an object. This two-page worksheet contains ten problems.
Flipped Math
Calculus AB/BC - Rates of Change in Applied Contexts Other Than Motion
Stay a while—and learn about rates of change. Scholars learn about rates of change not related to motion by watching an informative video. They see how to interpret derivatives in different contexts, paying particular attention to...
EngageNY
Average Rate of Change
Learners consider the rate of filling a cone in the 23rd installment of this instructional activity series. They analyze the volume of the cone at various heights and discover the rate of filling is not constant. The instructional...
Houston Area Calculus Teachers
Related Rates
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 collect,...
Curated OER
Calculus Worksheet: Rate of Change
In this calculus learning exercise, students calculate the rate of change of an equation as it relates to a leaning ladder. There is an answer key to this word problem.
Curated OER
Cardiac Output, Rates of Change, and Accumulation
Students explore rates of change. In this cardiac output lesson, students measure the amount of blood being pumped by a heart. They explore the flow rate and complete an accumulation and concentration problem. They analyze data, flow...
Curated OER
Rates of Change
In this rate of change worksheet, students read about how to calculate the rate of change in different processes such as plant growth. They are given example problems and practice calculating rates of change.
Curated OER
Working with Rates of Change
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.
EngageNY
Percent Rate of Change
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
Curated OER
The AP Calculus Problem Book
Are you always looking for extra problem resources to incorporate in your classes? A set of problems for a full AP Calculus course may be all you need! Each unit has a full set of questions and a sample test.
Flipped Math
Calculus AB/BC - Exploring Accumulation of Change
Add up area to find total change. Pupils learn what it means to find the area under a curve and how to calculate it geometrically. They first find the accumulation of change given a rate of change function. Scholars then apply that...
Noyce Foundation
First Rate
Explore distance and time factors to build an understanding of rates. A comprehensive set of problems target learners of all grade levels. The initial problem provides distance and time values and asks for the winner of a race. Another...
Curated OER
Worksheet 12: Functions
In this math worksheet, students are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.
Curated OER
Rate of Change
High schoolers 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.
Curated OER
Practice: Word Problems
Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians busy...
Curated OER
The Numbers Behind Hunger: Rate of Change
Explore the concept of world hunger by having students collect and graph 1990 world hunger statistics. They will analyze the data in order to determine how to decrease world hunger rates and try to determine problems and solutions of...