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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...
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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,...
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Lesson Plan
Illustrative Mathematics

Molly's Run, Assessment Variation

For Teachers 6th - 8th Standards
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...
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Lesson Plan
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National Security Agency

Partying with Proportions and Percents

For Teachers 6th - 8th Standards
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...
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Lesson Plan
Illustrative Mathematics

Coffee by the Pound

For Teachers 7th - 9th Standards
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,...
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Lesson Plan
EngageNY

From Rates to Ratios

For Teachers 6th Standards
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....
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Lesson Plan
EngageNY

Comparison Shopping—Unit Price and Related Measurement Conversions

For Students 6th Standards
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. 
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Lesson Plan
Curated OER

Stock Swaps, Variation 3

For Teachers 6th - 8th Standards
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...
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Worksheet
Curated OER

What Is A Rate? Practice Sheet

For Students 5th - 10th
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...
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Lesson Plan
Curated OER

Developing the Concept: Rates

For Teachers 5th - 6th
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.
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Lesson Plan
Curated OER

Dragonfly

For Teachers 7th Standards
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...
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Lesson Plan
EngageNY

Getting the Job Done—Speed, Work, and Measurement Units

For Teachers 6th Standards
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,...
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Worksheet
Curated OER

Total Cost and Unit Cost

For Students 4th - 5th
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.
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Lesson Plan
Teach Engineering

Flow Rates of Faucets and Rivers

For Teachers 5th - 8th Standards
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...
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Worksheet
Curated OER

Chapter 5 - Objective 5.1 - Unit Rates

For Students 11th - 12th
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...
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Worksheet
Curated OER

Chapter 4 - Objective 6.1 - Unit Rate & Mixture Problems

For Students 10th - Higher Ed
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.
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Worksheet
Curated OER

Unit Rates

For Students 6th
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...
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Lesson Plan
EngageNY

Finding a Rate by Dividing Two Quantities

For Teachers 6th Standards
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...
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Activity
101 Questions

Bolt Conversion

For Teachers 6th - 8th Standards
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...
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Activity
101 Questions

Super Bear

For Students 6th - 8th Standards
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...
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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!
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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...
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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 collect,...
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Assessment
Noyce Foundation

Lawn Mowing

For Teachers 6th - 7th Standards
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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