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...
Council for Economic Education
Loan Amortization - Mortgage
When you buy a home for $100,000, you pay $100,000—right? On the list of important things for individuals to understand, the lesson presents the concept of interest rates and loan amortization using spreadsheets and online sources....
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
Reaction Rates and Equilibrium Worksheet
In this equilibrium worksheet, students solve 8 problems to find the equilibrium constants and reaction rates of given equations.
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
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
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.
Curated OER
Equilibrium Practice
For this chemical reactions worksheet, students determine solubility product expressions, equilibrium constants, and equilibrium concentrations. This worksheet has 15 multiple choice questions and 3 problems to solve.
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...
Curated OER
Tracking Speed
Students calculate the speed of an object, by measuring the amount of time it takes to cover a given distance, and then divide: speed=distance/time. However, the object may not have been moving at a constant rate over the given distance....
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, students collect linear data from a motion detector. Students walk to create a linear function. Students plot the points on a graph and determine a...
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
Chemistry 152 - Competencies
In this chemistry competencies worksheet, students calculate rate law, balance equations, determine pH of solutions, give the oxidation number for atoms, and write in formulas. This worksheet has 4 fill in the blank questions and 20...
Curated OER
A Clock Reaction
This is an advanced rates of reactions worksheet. Students will be determining reaction times, molarities, and reactions rates for different reactions.
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.
Curated OER
Bacteria Populations
Your young microbiologists will interpret and solve exponential equations in this real-world context task set in a hospital research scenario. Learners think in terms of the functions as well as their rates of change.
Inside Mathematics
Swimming Pool
Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...
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