West Contra Costa Unified School District
Average Rate of Change
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra instructional activity. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching...
Illustrative Mathematics
Molly's Run, Assessment Variation
Part of as assessment series, the activity follows the lesson Molly's Run to practice ratios and dividing with fractions. Different solution options are given for your learners' preference. The commentary explains how the standards...
Curated OER
Heart Rate Monitoring
Algebra learners like this resource because it is easy to understand and it relates to their lives. Whether you are starting a new workout routine, or just climbing the stairs, your heart rate increases and decreases throughout the day....
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
Speed
Fifth and sixth graders practice working in pairs to determine whether they can walk with constant speed. They test themselves, collect their data, draw graphs with their data collected, manipulate the data, and then draw conclusions...
Curated OER
Calculus Review Worksheet
In order to review calculus skills, mathematicians read story problems regarding area, change of rate, volume, and distance. They determine rates per minute, per second, and miles per hour from given information. This two-page...
Curated OER
Direct and Inverse Variation
In this direct and inverse variation worksheet, 9th graders solve 10 different problems that include various situations in variations. First, they find the constant of proportionality when given each variable measure. Then, students...
Curated OER
Related Rates
In this related rates worksheet, students are given various scenarios and determine the distance and rate of each situation. This two-page worksheet contains eight problems.
Illustrative Mathematics
Logistic Growth Model, Abstract Version
Here learners get to flex some serious algebraic muscles through an investigation of logistic growth. The properties of the constant terms in the logistic growth formula are unraveled in a short but content-dense activity. Moving...
Noyce Foundation
Lawn Mowing
This is how long we mow the lawn together. The assessment requires the class to work with combining ratios and proportional reasoning. Pupils determine the unit rate of mowers and calculate the time required to mow a lawn if they work...
EngageNY
A Critical Look at Proportional Relationships
Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...
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.
Curated OER
Rate of Change
Young scholars 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
Worksheet 15 - Differentiation
In this differentiation worksheet, students determine the seconds of motion, identify the constant, and speed of movement. This two-page worksheet contains five multi-step problems.
EngageNY
Introduction to Simultaneous Equations
Create an understanding of solving problems that require more than one equation. The lesson introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the graphs of...
Concord Consortium
Going Up
Going on up—and up and up! An open-ended task asks learners to model the movement of an amusement ride with parametric equations. They then analyze their equations to determine how the shadow of the ride's car moves as it rises at a...
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...
Curated OER
Tight Rope
Learn how to explore the concept of linear functions. In this linear functions lesson, high schoolers collect linear data from a motion detector. Students walk to create a linear function. High schoolers plot the points on a graph and...
Curated OER
Road Trip to Pennsylvania
In this road trip problem, students examine information about road trip and determine the constant rate necessary to travel a predetermined distance. This one-page worksheet contains 1 problem. The answer is provided.
101 Questions
Hot Dog Eating
It's extremely important to pace yourself. Scholars watch portions of a video of the 2014 Nathan's Hot Dog Eating Contest. Using pictures that show one contestant's number of hot dogs at various times, they use rates to estimate how many...
Noyce Foundation
Snail Pace
Slow and steady wins the race? In the assessment task, scholars calculate the rates at which different snails travel in order to find the fastest snail. Hopefully, your class will move much more quickly in finishing the task!
Curated OER
Slope as a rate of change
In this Algebra I/Algebra II worksheet, students examine the slope of line as the rate of change between the dependent and independent variables. The one page worksheet contains two multiple choice questions. Answers are included.
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.
EngageNY
Getting the Job Done—Speed, Work, and Measurement Units II
How fast is your class? Learners determine the amount of time it takes individuals to walk a given distance and calculate their speeds. Pupils solve distance, rate, and time problems using the formula and pay attention to the rate units.
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