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...
EngageNY
Interpreting Rate of Change and Initial Value
Building on knowledge from the previous lesson, the second lesson in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses the...
EngageNY
Graphs of Linear Functions and Rate of Change
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
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...
EngageNY
Average Rate of Change
Learners consider the rate of filling a cone in the 23rd installment of this lesson series. They analyze the volume of the cone at various heights and discover the rate of filling is not constant. The lesson ends with a discussion of...
West Contra Costa Unified School District
Average Rate of Change
Learners investigate average rates of change for linear functions and connect the concept to slope. They then determine average rates of change in quadratic and exponential functions.
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.
Illustrative Mathematics
Video Streaming
Your movie fans will be interested in this resource. They will compare video streaming plans. One plan charges a set rate per month and a reduced viewing fee, and the other has a flat rate per each video viewed. Unfortunately, students...
Curated OER
A Day at the Beach
Help learners determine the rate of change for the temperature of sand. They will collect data on the temperature of wet and dry sand over time with a heat lamp overhead. Then make a scatter plot of the data and find a linear model to...
Illustrative Mathematics
Battery Charging
Your class will be very interested in the results of this activity. How long does it take a MP3 and video game player to charge? Sam only has an hour and the MP3 player only has 40% of its battery life left. Plus, his video player is...
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...
EngageNY
The Concept of a Function
Explore functions with non-constant rates of change. The first installment of a 12-part module teaches young mathematicians about the concept of a function. They investigate instances where functions do not have a constant rate of change.
Curated OER
A Sweet Drink
Young scholars investigate reaction rates. In this seventh or eighth grade mathematics instructional activity, students collect, record, and analyze data regarding how the temperature of water affects the dissolving time of a sugar...
Curated OER
Mathemafish Population
It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...
Curated OER
Algebra 1: Slope as Rate
Learners solve problems with slopes. In this algebra lesson, 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.
Curated OER
Piecewise Linear Functions: Extending Stories to Graphs
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...
Curated OER
Equations from Unit Rates
Your class can become linear equations masters, as they calculate the rate of change of a function. They observe different types of coordinates as they relate to a graph, then use the Ti-navigator to move the line around and draw...
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
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
Lessen the Loan
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.
Natinal Math + Science Initative
Slope Investigation
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 and...
Virginia Department of Education
Linear Modeling
An inquiry-based algebra lesson explores real-world applications of linear functions. Scholars investigate four different situations that can be modeled by linear functions, identifying the rate of change, as well as the strength and...
CK-12 Foundation
Applications Using Linear Models: Scuba Diving
Dive into this resource on rates of change and linear models. Pupils use two sliders in an interactive to adjust water temperature and depth. They use a given linear equation to calculate the rate of change in water temperature per unit...
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