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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
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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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

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
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
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
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
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
Curated OER

Algebra 1: Slope as Rate

For Teachers 7th - 9th
Learners solve problems with slopes. In this algebra lesson, students identify the slope of a line and relate it to the rate of change.  They graph their lines on the TI and observe changes in the lines.
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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

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
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
EngageNY

Ratios of Fractions and Their Unit Rates 2

For Teachers 7th Standards
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of tiles...
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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
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
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
Illustrative Mathematics

Voting for Three, Variation 1

For Teachers 5th - 7th Standards
This is an opportunity for young mathematicians to apply reasoning to solve real-world problems with ratios. Even though there are three candidates for class president, students will only consider two at a time, making the first problem...
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Lesson Plan
Math Worksheets Land

Multistep Ratio and Percent Word Problems - Step-by-Step Lesson

For Students 6th - 8th Standards
What happens when you have a recipe and need to up the measurements? Here is a lesson plan that explains how to use ratios to convert measurements and percents with worked out problems. Also provided are additional resources and practice...
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Lesson Plan
Curated OER

Ratios, Rates, Percent and Nutrition

For Teachers 6th - 8th
Examine food labels to determine percentage of fat and sugar to total calories with middle schoolers. Daily nutritional guidelines are discussed and learners will decide how well their foods fit into a healthy diet. In the provided...
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Lesson Plan
Curated OER

Word Problems Dealing with Ratio and Proportion

For Teachers 6th - 8th
Mindful middle-schoolers read and solve a number of word problems. Learners copy and discuss what they believe their strategies are in solving each problem. They also write their findings and share with the rest of the class.
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Lesson Plan
Illustrative Mathematics

Overlapping Squares

For Teachers 5th - 7th Standards
The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....
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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. For 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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Lesson Plan
Curated OER

The Smart Son

For Teachers 6th - 9th Standards
Grab your youngsters' attention by reading the poem, "Smart" by Shel Silverstein. The son in the poem was not smart in how he handled his money. Mathematics whizzes help him out by using ratio problems to re-calculate his money exchange....
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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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