Big Foot Conspiracy (Updated!)

Should people with small feet pay less for shoes?

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Big Foot Conspiracy (Updated!)

Should people with small feet pay less for shoes?

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2023-2024 Versions

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Should people with small feet pay less for shoes? When you buy deli meat, the more you get, the more you pay. This isn’t the case with shoes, though. A pair of sneakers costs the same in size 6 as in size 12, even though it has less material.

In this lesson, students use unit rates to calculate how much different-sized shoes cost per ounce and debate the fairest way for manufacturers to charge for their shoes.

REAL WORLD TAKEAWAYS

  • While some products use fixed pricing (e.g. a t-shirt costs $15), others use unit pricing (e.g. tomatoes cost $4 per pound). In many cases, it’s obvious which pricing system is best; after all, it would be weird if one pound of turkey cost the same as ten pounds. In some cases, though, you could make an argument for either system...and the one we use is largely due to convention: We do it this way because this is how we’ve always done it.
  • When buying products with fixed pricing, people buying smaller sizes will get less material for the same price as someone buying a bigger size. However, material isn’t the only – or even necessarily – the primary driver of cost for the company selling the product.
  • Pricing structures can affect human behavior, e.g. people might try to fit into smaller shoes if they were cheaper.

MATH OBJECTIVES

  • Calculate a unit price (“price per ounce”) given a total weight and total price
  • Use unit pricing to calculate total price and explore real-world questions

Great anytime, including at the beginning of a unit before students have any formal introduction to the topic.
Grade 7
Ratios & Proportions
Grade 7
Ratios & Proportions
Content Standards 7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction <sup>1/2</sup>/<sub>1/4</sub> miles per hour, equivalently 2 miles per hour.
Mathematical Practices MP.2 Reason abstractly and quantitatively. MP.3 Construct viable arguments and critique the reasoning of others.

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