Citizen Math used to be called Mathalicious. If you have a current account on Mathalicious, you can use those credentials to log in to your Citizen Math account. Learn more here.

Logo icon 2 color
Bigfootconspiracy lessonpage a

Big Foot Conspiracy

Should people with small feet pay less for shoes?

Login to add lessons to your favorites

Big Foot Conspiracy

Should people with small feet pay less for shoes?

Login to add lessons to your favorites
Bigfootconspiracy lessonpage a
Log In or Sign Up to Access Lesson Materials
Log In or Sign Up to Access Lesson Materials
Log In or Sign Up to Access Lesson Materials

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

  • Pricing structures can affect human behavior, e.g. people might try to fit into smaller shoes if they were cheaper.
  • ADD TAKEAWAYS WHEN CHARCTER LIMIT IS FIXED

MATH OBJECTIVES

  • Calculate unit rate ($/oz) for various sized shoes and discuss how the cost per ounces changes as size changes
  • For a given cost per ounce, calculate how much different size shoes would cost if Nike charged by weight
  • Discuss advantages and disadvantages of alternative pricing schemes

Great anytime, including at the beginning of a unit before students have any formal introduction to the topic.
Lesson gauge easy
Grade 7
Ratios & Proportions
Lesson gauge easy
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. 7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
Mathematical Practices MP.3 Construct viable arguments and critique the reasoning of others.

Other Grade 7 Lessons