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Illustrative Mathematics
Who Has the Best Job?
Making money is important to teenagers. It is up to your apprentices to determine how much two wage earners make with their after school jobs. Participants work with a table, an equation, and a graph and compare the two workers to see...
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False Positives
The test may say you have cancer, but sometimes the test is wrong. The provided task asks learners to analyze cancer statistics for a fictitious town. Given the rate of false positives, they interpret the meaning of this value in the...
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Ground Beef
Ever wonder how a butcher creates the different types of ground beef? Young mathematicians explore the methods butchers use to create their desired ground beef quality. Given a combination of two types of meat with varying...
Bowland
Fish Dish
Minimize the time it takes to create a fish dish. Scholars use their knowledge of time to devise an order that accounts for different constraints. Considering jobs that can be done in parallel is essential to solving the problem.
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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.
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Greenhouse Management
Who knew running a greenhouse required so much math? Amaze future mathematicians and farmers with the amount of unit conversions, ratio and proportional reasoning, and geometric applications involved by having them complete the...
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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.
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Dairy Barn
Agriculture is truly a math-based profession! Help the dairy farmer determine the supplies needed to complete his barn. Using given dimensions, learners build equations and use units to determine the correct amount of materials.
Illustrative Mathematics
Kimi and Jordan
Kimi and Jordan have taken summer jobs to supplement their weekly allowances. Kimi earns more per hour than Jordan, but Jordan's weekly allowance is greater. This activity asks learners to determine how the incomes of the two workers...
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Fences
Pupils design a fence for a backyard pool. Scholars develop a fence design based on given constraints, determine the amount of material they need, and calculate the cost of the project.
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Rabbit Food
Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...
Inside Mathematics
Suzi's Company
The mean might not always be the best representation of the average. The assessment task has individuals determine the measures of center for the salaries of a company. They determine which of the three would be the best representation...
EngageNY
Problem Solving Using Rates, Unit Rates, and Conversions
Find a way to work with rates. The 23rd part in a 29-part series presents work problems for the class to solve given work rates. Pupils compare rates to determine which is faster. Some problems require learners to convert the rates to...
Curated OER
Dental Impressions
What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....
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Task: Storage Sheds
Bridge the gap between mathematics and Career Technical Education. Pupils research the cost associated with building storage sheds and analyze possible profit. They build scale models and determine if building and selling the sheds is a...
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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.
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Spread of Disease
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
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BMI Calculations
Obesity is a worldwide concern. Using survey results, learners compare local BMI statistics to celebrity BMI statistics. Scholars create box plots of the data, make observations about the shape and spread of the data, and examine the...
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Ivy Smith Grows Up
Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.
Mathematics Assessment Project
Suzi's Company
Don't use an average resource ... use this one. As a middle school assessment task, learners first determine mean, median, and mode of salaries given in a frequency table. They then investigate how a change in one value changes the...
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