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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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Lesson Plan
EngageNY

From Ratios to Rates

For Teachers 6th Standards
Rate ratios with unit rates and rate units. Pupils take ratios and determine their associated rates and unit rates. The scholars identify the different aspects of rates, the unit rate, and the rate unit. The lesson plan is the 16th in a...
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Lesson Plan
Curated OER

Ratios, Unit Rates, and Proportions

For Teachers 6th - 8th
Explore the concept of ratios, unit rates, and proportions. Learners convert fractions and percents to decimals. They discuss rates and where they can be found in the real world. A hands-on experiment and numerous flash cards and...
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Lesson Plan
Illustrative Mathematics

Price per Pound and Pounds per Dollar

For Teachers 5th - 7th Standards
Help learners understand the concept of unit rate as it is applied to buying beans at a grocery store. The objective is to determine the unit rate in two ways, and then apply each ratio to an additional problem. The attached commentary...
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Lesson Plan
Illustrative Mathematics

Riding at a Constant Speed, Assessment Variation

For Teachers 5th - 7th Standards
Practice ratios and unit rates with tracking how long Lin took to ride her bike. Provided with different questions, your mathematicians can assemble their answers using a chart or setting up ratios. The activity is included in a set of...
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Lesson Plan
Curated OER

Introducing the Concept: Rates

For Teachers 5th - 6th
Sixth graders explore rates as a specific type of ratio, using visual examples of unit rates and unit prices to increase comprehension. They also practice solving problems that are modeled by the instructor. The well-scripted lesson is...
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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...
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Lesson Plan
Curated OER

How Fast is Usain Bolt?

For Teachers 6th - 8th Standards
Revisit the 2012 Summer Olympics by having seventh graders calculate the unit rate sprinting speed of the 100-meter gold medal winner. 
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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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Lesson Plan
Curated OER

Horatio's Ratios

For Teachers 6th - 8th
View a PBS video entitled Horatio's Drive and explore Horatio's Ratios. Collaborative learners form groups to use Mapquest to determine distances covered. They generate the mathematical averages, ratios, and rates in order to calculate...
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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
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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Interactive
Neufeld Learning Systems

Concept: Ratios and Proportions

For Teachers 4th - 8th Standards
Upper elementary and middle school pupils fill out a chart creating six equivalent fractions and then compare them to six different objects and/or shapes. They group together 16 various terms related to ratios and proportions. Pupils...
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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 takes...
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Lesson Plan
EngageNY

Tables of Equivalent Ratios

For Teachers 6th Standards
Don't table the discussion on equivalent ratios — do it now! Scholars create tables of equivalent ratios to represent contextual problems. Pupils go on to use the tables to answer questions within the context. The lesson is ninth in a...
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Lesson Plan
Illustrative Mathematics

The Escalator, Assessment Variation

For Teachers 5th - 7th Standards
A great way to practice with unit rates, the activity gives your mathematicians an opportunity to compare different statements and select which are true. They can practice with "choose all that apply" by setting each statement into its...
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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
EngageNY

Percent and Rates per 100

For Teachers 6th Standards
What percentage of your class understands percents? Pupils learn the meaning of percents based upon rates per 100 in the 24th lesson in a series of 29. They represent percents as fractions, decimals, ratios, and models. The scholars...
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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
Curated OER

Shots, Standings, and Shopping

For Teachers 6th - 8th
Rates and ratios can easily be applied to real-world situations. Learners explore a series of websites in order to procure comparable data. They define ratios and rates, view videos, and use the internet to explore how ratios and rates...
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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...
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Lesson Plan
Illustrative Mathematics

Voting for Three, Variation 3

For Teachers 5th - 7th Standards
Get your learners to think outside the box. Students require a good understanding of ratios and their relationship to fractions to complete the problem. The only quantities given in the problem are the ratio of the number of votes for...
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Lesson Plan
Curated OER

Stock Swaps, Variation 2

For Teachers 6th - 8th Standards
If Microsoft wanted to take over Apple, how many shares would they need to break even? This is an ideal task for seventh graders who are studying proportional relationships and applying them to real-world scenarios. Use it as an...
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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...

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