Illustrative Mathematics
Running at a Constant Speed
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...
Illustrative Mathematics
DVD Profits, Variation 1
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,...
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...
National Security Agency
Partying with Proportions and Percents
Examine ratios and proportions in several real-world scenarios. Children will calculate unit rates, work with proportions and percentages as they plan a party, purchase produce, and take a tally. This lesson plan recommends five...
Illustrative Mathematics
Coffee by the Pound
This is a great exercise in graphing proportional quantities to interpret the unit rate as the slope of a graph. It is not easy for learners to understand what a unit rate is. When it is presented as the slope of a linear line graph,...
EngageNY
From Rates to Ratios
Look at rates from a general perspective. The 17th part of a 29-part series provides problems that help pupils develop more general ratios from given rates. Scholars determine unit rates and ratios that are associated with given rates....
EngageNY
Comparison Shopping—Unit Price and Related Measurement Conversions
Speed up your scholars' understanding of ratios. Class members compare ratios related with speeds presented in different representations. They then use the unit rates to make the comparisons.
Curated OER
Stock Swaps, Variation 3
More on the fictitious takeover of the Apple Corporation by Microsoft. In this scenario, Microsoft has $28.00 per share to spare, so how many do they need to offer to make an even trade? This is an engaging problem to solve when...
Curated OER
What Is A Rate? Practice Sheet
Your mathematicians practice expressing rates with ratios. They identify from among 12 ratios the ones that are unit rates. They express six given situations as two equal rates each. Finally, they interpret data about fuel efficiency...
Curated OER
Developing the Concept: Rates
Learners discover how to use the knowledge of unit rates to understand equivalent ratios and solve real-world problems. They are given word problems to solve using equivalent ratios. Tables are also covered in this resource.
Curated OER
Dragonfly
The speed of a dragonfly brings math into the real world as your learners collaboratively see the value in calculating unit rates in direct proportion problems. This six-phase lesson plan encourages you, as the teacher, to only ask...
EngageNY
Getting the Job Done—Speed, Work, and Measurement Units
How do you convert from one measurement to another? Pupils use unit rates to convert measurements from one unit to another in the 21st segment in a 29-part series. They convert within the same system to solve length, capacity, weight,...
Curated OER
Total Cost and Unit Cost
In this unit rate worksheet, students solve 6 problems in which the unit rate in a consumer math story problem is calculated. There are no examples or instructions.
Teach Engineering
Flow Rates of Faucets and Rivers
Go with the flow and use a helpful resource. A set of two activities has learners investigate flow rates. They first determine the flow rate of a faucet by measuring how long it takes to fill a bucket. Using the results, they make a...
Curated OER
Chapter 5 - Objective 5.1 - Unit Rates
In this unit rate worksheet, students read story problems, determine important information, and write equations to solve the problem. Problems include distance, rate, cost per pound, and total cost. This one-page worksheet contains ten...
Curated OER
Chapter 4 - Objective 6.1 - Unit Rate & Mixture Problems
In this unit rate worksheet, students read story problems and determine the unit rate. They set up equations to solve proportion, percent and mixture problems. This one-page worksheet contains seven story problems.
Curated OER
Unit Rates
For this unit rates worksheet, 6th graders solve 10 different problems that include determining the rate of various events. First, they determine the number of letters in a particular number of messages. Then, students determine the...
EngageNY
Finding a Rate by Dividing Two Quantities
Develop the right station to solve rate word problems. The 18th lesson in a series of 29 starts by interpreting the aspects of rates with two different quantities. Pupils use the interpretation of rates to solve problems, and groups work...
101 Questions
Bolt Conversion
Usain Bolt and Superman have something in common—speed! A video of one of Bolt's races introduces young scholars to the concept of unit rate. Using data from the race, the narrator calculates a unit rate in kilometers per hour, which...
101 Questions
Super Bear
Bear with your classes as they explore unit rate and proportions using gummies! Gummy bears come in many different sizes, including a 2,250-gram super bear! The task asks learners to determine how many regular bears and how many mini...
101 Questions
Would You like Fries with Your Order?
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!
Illustrative Mathematics
Ratio of Boys to Girls
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...
Houston Area Calculus Teachers
Related Rates
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 collect,...
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...
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