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Curated OER
Working with Unit Rates
The class solves word problems related to unit rates by identifying the quantity, the units used, and then writing an equation. They practice converting between units using multiplication and division at the right time.
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...
Curated OER
Unit Rates
Young scholars calculate unit rates with fractions and whole numbers. In this algebra lesson, students compare numbers, perform long division, and calculate the rate of different units through conversions. They model some of the problems...
Illustrative Mathematics
Price per Pound and Pounds per Dollar
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...
EngageNY
Interpreting Rate of Change and Initial Value
Building on knowledge from the previous lesson, the second lesson in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses the...
Illustrative Mathematics
Data Transfer
A question to ask your class is, How fast is your Internet? That depends on the data transfer rate (DTR), which is the unit rate used in this activity. Math students will calculate how long it takes to download a music file and a video...
Illustrative Mathematics
Ratio of Boys to Girls
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...
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...
Achieve
Framing a House
If members of your class wonder where they can use the math they learn in middle school, let them discover the answer. Learners apply geometry concepts of scale and measure to calculate the costs of framing a house addition.
Balanced Assessment
Paving the Patio
Next time you need to repave your patio, have your scholars do all the math. They first calculate and answer questions using the area of patio blocks. Next, they determine the cheapest block to use to pave the patio.
101 Questions
They Cost Peanuts
Save pennies on your peanuts. Scholars first examine a picture of a supermarket display showing salted peanuts sold by the pound and by the bag. They apply the idea of unit rate to determine which is cheaper.
Achieve
Corn and Oats
How much land does a parcel hold? How much fertilizer does it take for a field of corn? Pupils answer these questions and more as they apply ratio reasoning and unit analysis.
Illustrative Mathematics
Jim and Jesse's Money
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...
Curated OER
Recipe: Unit Rate
Students solve problems using ratios and proportions. In this algebra activity, students identify the unit rate and convert between fractions and decimals. They create graphs from their data.
Achieve
Yogurt Packaging
Food companies understand how to use math to their advantage. Learners explore the math related to the packaging and serving size of yogurt. They then use unit analysis and percent values to make decisions on the product development.
Curated OER
Algebra 1: Slope as Rate
Students 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.
Statistics Education Web
The United States of Obesity
Mississippi has both the highest obesity and poverty rate in the US. Does the rest of the data show a correlation between the poverty and obesity rate in a state? Learners tackle this question as they practice their skills of regression....
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, learners will only consider two at a time, making the first problem...
Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
Curated OER
Shots, Standings, and Shopping
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...
Bowland
In or Out? ... What's Your Decision?
Young mathematicians use photos and video clips to determine if a cricket player is "in" or "out." This analysis occurs using scale factors, distance-rate-time formula, and consideration of precision and accuracy.
Mathalicious
Been Caught Stealing
You're safe, when calculating the odds of stealing second base! Learners compare the rate of a runner to the distance the ball travels, in a lesson that explores right triangles and measurement. Full of discussion questions and fun...
Mathalicious
New-tritional Info
Burning off a Big Mac® doesn't seem like a big feat until you calculate the minutes of exercise necessary to break even. Young mathematicians look at different menu items in relation to different body weights and exercises to calculate...
101 Questions
Jam Session
Don't let the learning in your classroom get jammed up! Intrigue your scholars with an open-ended scenario to explore. A video presentation shows a challenging stretch of road that is susceptible to traffic jams. The task is to determine...