Illustrative Mathematics
Sand Under the Swing Set
Help the local elementary school fix their playground by calculating the amount of sand needed near the swing set. The problem practices setting up proportions and ratios with three different options for solving. You can chose the option...
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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 encourages you, as the teacher, to only ask questions...
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Word Problems Dealing with Ratio and Proportion
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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Stock Swaps, Variation 3
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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Family Letter - Foreign Currency and Exchange Rates: Proportions and Ratios
In this proportions and ratios learning exercise, students solve 6 short answer problems. Students find the foreign currency exchange rates for six countries. Students express the exchange rate as a proportion or ratio.
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Ratio and Proportion
In this ratio and proportion learning exercise, students solve 22 short answer and multiple choice problems. Students use rates, proportions, and ratios to solve each problem.
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Rates And Unit Price
In this rates and unit price worksheet, students problem solve and calculate the answers to ten word problems and mathematical equations dealing with ratios, proportion and missing values.
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Rates and Ratios
In this rates and ratio instructional activity, students determine the ratio for a given situation. They use proportions to solve problems. This two-page instructional activity contains 4 multi-step problems. Answers are provided on the...
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Rates and Ratios 3
In this rates and ratios instructional activity, students write proportions to match the given problem. They determine unit rates for a given situation. This two-page instructional activity contains 4 problems. Answers are provided on...
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Mixing Up Ratios
Students solve problems of ratio and proportions using hands on. In this algebra lesson, students vary the concentration of a fruit drink using parts of a ratio.
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Ratio and Proportion
In this ratio and proportion worksheet, students read problems and solve proportion problems. They determine the best buy and identify the ratio of different sized polygons. This four-page worksheet contains 7 multi-step problems....
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Proportional Reasoning: Ratio Applications
In this ratio applications worksheet, 8th graders solve and complete 24 various types of problems that include proportional reasoning. First, they solve each pair of similar figures for the given variable. Then, students write and solve...
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Solving Problems and Proportions
In this proportion worksheet, learners read story problems, identify the ratios, set them equal to each other, and solve the proportion. There are 11 story problems in this two-page worksheet.
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Basic Skills: Unit Rates
In this unit rates learning exercise, students determine the unit rate of given data. This three-page learning exercise contains 20 problems. Answers are provided on the last page of the learning exercise.
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Jazz and Math: The Beat Goes On
Students collect real data through listening, counting and timing jazz pieces.They use ratios, rates, and proportions to report collected data and demonstrate an understanding of the concepts of rhythm and tempo in music.
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...
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Ratios and Proportions
This study guide would be great to use when presenting a lesson on ratios and proportions. It includes clear definitions, explanations, and examples to work through as a class or individually. In addition, it has notes on rates and...
Utah Education Network (UEN)
Linear Graphs Using Proportions and Rates
Using a TI-73 or other similar graphing calculator middle school math majors investigate the linear relationship of equivalent proportions. After a brief introduction by the teacher, class members participate in a timed pair share...
Illustrative Mathematics
Sore Throats, Variation 2
What does math have to do with a sore throat? When you mix water and salt you have a great review of how to represent proportional relationships by an equation or graph. Here the proportions of the mixtures may be different, but the...
Illustrative Mathematics
Gotham City Taxis
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
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Super Size It, Please!
Pupils take photos from a given distance and determine the height of the person using a scale factor. Pupils calculate the ratio of student actual height to student photo height. They take pictures from 3 different distances to see if...
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Carbon 14 Dating in Practice II
Your archaeologists combine proportional reasoning with exponential functions in a real-life task centered on Carbon 14 dating.
Noyce Foundation
Candy Fractions
While examining fractions and ratios, your leaners get to read about one of their favorite subjects: candy! There are four word problems on this worksheet. Learners consider situations in which "for every x caramels there are y...
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Hybrid Vehicles: Cut Pollution and Save Money
Math and science meet in this lesson on hybrid electric automobiles. This 24-page resource provides everything you need for teaching a lesson that compares the use of internal combustion engines to hybrid electric engines. Participants...