Lesson Plan
Illustrative Mathematics

Cooking with the Whole Cup

For Teachers 6th - 7th Standards
Whoops! Travis accidentally put too much butter into the recipe. Your bakers must find out how to alter the recipe to accommodate different changes by using unit rates and ratios . The activity has multiple parts and calculations with...
Lesson Plan
Illustrative Mathematics

Track Practice

For Teachers 6th - 8th Standards
And they're off! While two runners are at track practice, your mathematicians' job is to find out who leaves the other in the dust. The activity provides a variety of data that can be computed into unit rates for comparisons. Available...
Lesson Plan
Illustrative Mathematics

Currency Exchange

For Teachers 5th - 7th Standards
Take your class on a North American adventure with a currency conversion problem. Pupils are asked to change US dollars into Canadian dollars and then to Mexican pesos. The commentary includes two solutions, converting by unit rates and...
Lesson Plan
Illustrative Mathematics

Running at a Constant Speed

For Teachers 5th - 7th Standards
The learner must use the given constant speed to find the unit rate. A table is made in order to relate the speed to the time and the distance. From the table, learners are able to see the unit rate in miles per minute and miles per...
Lesson Plan
Illustrative Mathematics

DVD Profits, Variation 1

For Teachers 7th - 9th Standards
The idea in the resource is to understand the connections between proportional relationships, lines, and linear equations. To stay within the context of the standard, skip the part of the resource that solves with unit rates. Instead,...
Activity
101 Questions

Would You like Fries with Your Order?

For Teachers 6th - 8th Standards
Ever wonder what you are paying for a single fry at McDonald's? An engaging lesson compares the cost per fry in a small order to a larger order. It's a great application of unit rate that is sure to make your classes hungry for more!
Lesson Plan
Curated OER

7.RP Music Companies, Variation 2

For Teachers 6th - 8th Standards
Real-world multiple-step proportion problems are sometimes hard to find for your math class. Here is one designed specifically to meet that need. Learners use proportional relationships to determine price per share in the acquisition of...
Lesson Plan
Illustrative Mathematics

Find the Change

For Teachers 7th - 9th Standards
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...
Activity
Houston Area Calculus Teachers

Related Rates

For Students 11th - Higher Ed
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...
Lesson Plan
Illustrative Mathematics

Ratio of Boys to Girls

For Teachers 5th - 7th Standards
How many boys are in the class? Here is an introductory exercise describing ratios. The commentary shows different ways learners can approach the problem, using a tape diagram of boys to girls and using a table. The activity includes...
Lesson Plan
Illustrative Mathematics

Molly's Run

For Teachers 6th - 8th Standards
A simple lesson with a lot of support behind it. Your learners will find out how long it takes Molly to run a mile by choosing their solution method. The activity can be used as a lesson or as an independent assignment. Preface with...
Lesson Plan
2
2
Baylor College

Heart Rate and Exercise

For Teachers 3rd - 8th
Teach your exercise enthusiasts to read their pulse rate at the radial artery and multiply by four to calculate beats per minute. Learners perform a variety of activities, recording their heart rates after one minute of each. Though...
Lesson Plan
Illustrative Mathematics

Battery Charging

For Teachers 7th - 9th Standards
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...
Lesson Plan
Illustrative Mathematics

Voting for Two, Variation 3

For Teachers 5th - 7th Standards
After calculating election votes, your learners must determine how many votes the winner, John, got above 50%. This multi-step problem encourages them to think in a deeper way about what the question is asking them to find. Use with...
Activity
101 Questions

Leaky Faucet

For Teachers 6th - 8th Standards
A dripping faucet may be enough to drive you crazy, but it also teaches you a little about ratios. Presented with the volume of a sink and the rate the water is dripping, scholars must devise a plant to determine how long it will take...
Lesson Plan
Illustrative Mathematics

Voting for Two, Variation 4

For Teachers 5th - 7th Standards
After elections, the total amount of votes is not specified but the ratio of votes is. Your learners' job is to determine the fraction of votes John received above half of all votes. The problem can be solved abstractly or by other...
Lesson Plan
Illustrative Mathematics

Peaches and Plums

For Teachers 7th - 9th Standards
According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps students become intuitive about graphing. 
Activity
101 Questions

They Cost Peanuts

For Teachers 6th - 8th Standards
Save pennies on your peanuts. Scholars first examine a picture of a supermarket display showing salted peanuts sold by the pound and by the bag. They apply the idea of unit rate to determine which is cheaper.
Activity
101 Questions

Bean Counting

For Teachers 6th - 8th Standards
Don't spill the beans ... before the end of the lesson! Learners must predict how long it takes two people working together to fill a glass with beans. A video presents the rate it takes each person independently, and another video...
Activity
101 Questions

Want Some Orange Juice?

For Teachers 6th - 9th Standards
Juice up your lessons with an open-ended resource. Scholars must determine how many oranges it takes to fill a container with juice. They use information presented in a video and as images to find the solution. 
Activity
Ohio Resource Center

Egyptian Fractions

For Teachers 4th - 6th
What is an Egyptian Fraction? Print this sheet as a bell-ringer activity. Budding mathematicians solve three short answer problems. They write three fractions as unit fractions so that the numerator is one and the sum is equal to the...
Lesson Plan
Illustrative Mathematics

Friends Meeting on Bicycles

For Teachers 6th - 8th Standards
It's a great day for a bike ride, but how long will it take? Your learners will have to calculate multiple variables in the problem using scaffolded questioning. Different answer choices are given, but you will need to create the table...
Lesson Plan
Illustrative Mathematics

Jim and Jesse's Money

For Teachers 5th - 7th Standards
Jim and Jesse started their road trip with the same amount of money. Your class must find the amount of money each one had given, the amount of money spent, and the ratio of money at the end. This is a comprehensive problem that...
Activity
PBS

Heart to Heart

For Students 3rd - 7th
Study heart health and math in one activity. After measuring their resting heart rates by finding the pulse in their wrists, learners build a stethoscope to listen to their heart rate, and note the differences between the two methods.