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ratios, rates, unit ratesClear All
Noyce Foundation
Lawn Mowing
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...
Curated OER
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...
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...
California Education Partners
Miguel's Milkshakes
Moooove over, there's a better deal over there! The fourth segment in a series of eight requires individuals to determine the best unit cost for milk. Scholars calculate the least amount they can spend on a particular quantity of...
Illustrative Mathematics
Voting for Three, Variation 1
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...
Curated OER
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.
Math Worksheets Land
Multistep Ratio and Percent Word Problems - Step-by-Step Lesson
What happens when you have a recipe and need to up the measurements? Here is a lesson that explains how to use ratios to convert measurements and percents with worked out problems. Also provided are additional resources and practice...
Curated OER
Algebra 1: Slope as Rate
Students solve problems with slopes. In this algebra activity, 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.
101 Questions
Would You like Fries with Your Order?
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!
Utah Education Network (UEN)
Analyze Proportional Relationships and Use Them to Solve Real-World Problems
What proportion of learners will benefit from the lessons on proportional reasoning? Class members learn about proportional relationships, from unit rates to writing equations for proportional relationships. Then, they learn to use...
Curated OER
Recipe: Unit Rate
Students solve problems using ratios and proportions. In this algebra lesson, students identify the unit rate and convert between fractions and decimals. They create graphs from their data.
101 Questions
Leaky Faucet
A dripping faucet may be enough to drive you crazy, but it also teaches you a little about ratios. Presented with the volume of a sink and the rate the water is dripping, scholars must devise a plant to determine how long it will take...
Curated OER
Ratio and Proportion
In this ratio and proportion learning exercise, students read problems and solve proportion problems. They determine the best buy and identify the ratio of different sized polygons. This four-page learning exercise contains 7 multi-step...
Curated OER
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...
Curated OER
Ratio and Rate
In this Algebra I worksheet, students solve problems in which they differentiate between a ratio and a rate. The nine page worksheet contains explanation, worked examples, and seventeen problems. Answers are not...
Illustrative Mathematics
Voting for Two, Variation 3
After calculating election votes, your learners must determine how many votes the winner, John, got above 50%. This multi-step problem encourages them to think in a deeper way about what the question is asking them to find. Use with...
Curated OER
Investigation - The Local Bagel Shop
Sixth graders investigate unit pricing to find which cup of coffee is a better buy. They use ratio and proportions to solve problems involving a change of scale in drawings, maps, recipes, etc. Students determine the unit cost of items...
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...
BW Walch
Creating Linear Equations in One Variable
The example of two travelers meeting somewhere along the road has been a stereotypical joke about algebra as long as algebra has existed. Here in this detailed presentation, this old trope gets a careful and approachable treatment....
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...
101 Questions
Shower v. Bath
Which requires more water--a bath or a shower? Given some specific criteria, learners attempt to answer the question. A video shows how long it takes to fill a gallon container using a faucet and a shower head. Using that information and...
EngageNY
Percent Rate of Change
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
Curated OER
Integrated Algebra Practice - A.M.1 #2: Rates
In this rates worksheet, students solve 10 multiple choice problems. Students find the unit price of an item to determine the best buy.
Curated OER
Ratio and Proportion
Students explore ratios and proportions. In this ratios lesson plan, students work in groups to identify the ratio of boys to girls, as well as the ratio of vowels to consonants in their names. Given a bag of candy, students work in...