 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.

### Students will

• 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

### Before you begin

It may be helpful if students know how to calculate a unit rate, e.g. use the price and weight to calculate the cost per ounce (\$/oz), though this is not necessary. In fact, you can easily use this lesson to introduce unit rates: both how to calculate them and why they're useful. Students should also be familiar with how to plot points on the coordinate plane.

#### Shoutouts

Zappos and their killer return policy!