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
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
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.
Balanced Assessment
Ford and Ferrari
Which is faster, a Ford or a Ferrari? The short assessment has pupils analyze graphs to determine the rates of change between the two. Individuals interpret the rates of change within the context of speeds of the cars and develop a map...
Balanced Assessment
On Averages and Curves
Determine the average on a curve. The class finds graphical representations of averages and expresses them both symbolically and on the graph. The assessment requires class members to justify using average to describe graphs.
Curated OER
The Babylonian Algorithm, Limits and Rates of Change
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...
Flipped Math
Calculus AB/BC - Unit 2 Review: Differentiation
Tie up everything in one differentiable bow. Pupils work through 20 problems to review the concepts from the unit. The problems range from finding the average rate of change to finding the derivatives of various functions that require...
Curated OER
Functions Quiz
In this college level algebra worksheet, pupils determine the domain and range of a function, determine the average rate of change given an interval and the function, and graph a polynomial function. The two-page worksheet contains four...
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...
It's About Time
The Changing Geography of Your Community
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 a...
EngageNY
Constant Rates Revisited
Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the rates...
Curated OER
Acceleration and Average Speed
In this acceleration and average speed worksheet, students learn the equations for acceleration and average speed. They match 6 variables with their quantities, they identify speed vs. velocity and scalar vs. vector and they solve 4...
Curated OER
Supplementary Related Rates Problems
In this rates worksheet, students read story problems, determine the necessary information, and set up equations to determine the velocity and rates. This two-page worksheet contains two multi-step story problems.
National Institute of Open Schooling
Chemical Kinetics
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...
Curated OER
Average and Instantaneous Velocity
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...
Bowland
110 Years On
How many great, great grandchildren can one have? Scholars estimate the number of descendants a woman can have after 110 years. They use information about the average number of children per family and life expectancy to make this estimate.
Curated OER
A Simple Model for Atmospheric Carbon Dioxide
In this atmospheric carbon dioxide activity, students use two diagrams to solve 6 problems about atmospheric carbon dioxide. One diagram shows the Keeling Curve and the other shows sources of carbon and the natural and anthropogenic...
Mathematics Assessment Project
Functions
Studying function means more than simply learning a formula. Learners must use functions to think through four problems and find solutions. Each task utilizes a different concept from a study of functions. Class members might use a...
Mathematics Assessment Project
Journey
Drive home math concepts with an engaging task. Learners follow a verbal description to fill in a table and create a distance-time graph representing a car journey. They then answer questions by interpreting the graph.
EngageNY
Mid-Module Assessment Task: Grade 8 Module 6
Make sure pupils have the skills to move on to the second half of the module with a mid-module assessment task. The formative assessment instrument checks student learning before moving on to the rest of the lessons in the unit.
Curated OER
Using Quantitative Statements to Solve Problems
In this equations worksheet, students use quantitative statements to sole for average speed. This worksheet has 4 problems to solve.
Curated OER
Extra Practice 11: Applications With Percents
In this percent worksheet, students read short stories, determine the information needed, write an algebraic equation and evaluate the problem. Problems include simple interest, sale price, and tax rates. There are nine percent problems...
Curated OER
The Derivative
In this derivative learning exercise, students estimate the derivative of given functions. They identify the slope, the rate of change find the slope of a parabola. This two-page learning exercise contains definitions, examples and...
PBS
What We Do Adds Up
With so many tons of trash going into landfills each year, your environmentalists can calculate how much the average person is tossing away. This activity has a series of questions not only requiring math, but a conscious thought of how...