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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 is the 16th in a...
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Interactive
Scholastic

Study Jams! Rate

For Students 4th - 6th Standards
Zoe is reading books over vacation and wants to know at her current rate, how many will she finish by the end. Building on prior knowledge of fractions and ratios, young mathematicians learn how equivalent rates are used to answer her...
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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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Worksheet
Raytheon

Ratios and Rates

For Students 6th - 9th
Here is a ratios, rates, and proportions worksheet which invites learners to solve word problems dealing with ratios, rates, and proportions. They complete 26 problems total.
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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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Handout
PBS

The Lowdown — Living Wages in CA: Ratio and Rate in the Real World

For Students 5th - 7th Standards
How much money is enough money? Future wage earners explore the minimum hourly wage and then use it to calculate monthly and yearly earnings. They use an interactive to consider living costs and determine whether earning a minimum wage...
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Interactive
PBS

Real-World Ratio and Rate Reasoning: How to Power the Skate Park

For Students 5th - 6th Standards
Bring on the lights! Using an interactive, characters try to figure out how to light a skate park by examining area and ratios to determine the number of solar panels needed to power them. Pupils design a house with a roof to hold solar...
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Unit Plan
EngageNY

Ratios and Unit Rates

For Teachers 6th Standards
This turn-key unit on ratios and unit rates walks through a 30-lesson unit on teaching proportional reasoning, with each lesson broken into detailed teaching notes and time allotments for all parts. An unbelievable resource when taken...
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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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Worksheet
Waterloo Mathematics

Number Sense and Numeration: Ratio and Rate

For Students 6th - 8th Standards
Seventh-graders solve 20 various types of problems related to ratio and rate. They write ratios in simplest form for each given statement, to compare the area of two figures, and write two ratios equivalent to each ratio. Pupils express...
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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
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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Workbook
Utah Education Network (UEN)

Ratio Relations

For Students 6th Standards
At this rate, the class will be experts on ratios and rates in no time. A class workbook teaches individuals about ratio language, using tables and tape diagrams to find equivalent ratios, and solving ratio problems. They then discover...
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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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Worksheet
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Math Worksheets Land

Holiday Ratios

For Students 5th - 7th Standards
Add some holiday cheer to your math lessons with this problem-solving worksheet. From problems comparing the number of ears and legs of Santa's reindeer, to finding the ratio of colored lights on a Christmas tree, a variety of questions...
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Interactive
PHET

Unit Rates

For Students 6th Standards
Sometimes you just want to know the cost of one apple. A fun interactive lets learners explore the unit costs of fruits, vegetables, and candy. It shows how ratios to express ratios symbolically and on a double number line.
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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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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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Worksheet
Worksheet Web

Learning About Rate

For Students 5th - 7th Standards
After reading a one-page passage on how to understand and solve distance/rate problems, young mathematicians answer six word problems that have them correctly set up the formula in order to solve for the distnace, rate, or time in the...
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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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