The Pizza difficulty is a great way come apply mathematical info in a real-world context. Challenge your seventh and also eighth graders to use their knowledge of area and also order of operations through the pricing the pizza.

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When teaching a unit top top the area of circles, i asked a class of seventh- and eighth-grade student to investigate the prices of various sizes that pizzas to check out if the prices were concerned the pizzas’ areas. Your assignment to be this:

Find and also call a pizza placeFigure whether the prices of the pizzas said to your sizesIf castle do, define why. If not, define what the prices would be if they to be proportional to their areas

### Some responses were….

Amanda wrote: speak to up a pizza ar & questioning the size of each of their pizzas in inches, small, medium, or large. Climate ask the prices. Check out if the prices space proportional come the locations of the pizzas. If they room not, reprice them.

Allison wrote: speak to or visit a pizza place. Discover out the size and also price that pizzas. Climate decide even if it is it’s mathematically sensible or not. Exactly how much would certainly you charge?

Geoff wrote: What space the prices of a small, medium, and huge pizza? perform they make mathematical sense? If so, why? If not, what should they charge?

Jennifer wrote: What us are an alleged to perform is to contact or visit a pizza place, and find out what the price of every pizza is and also what size it is. Us then have to decide even if it is or not the prices space acceptable. If castle aren’t, what would certainly we change them to?

The students’ solutions and also explanations revealed their expertise not only around the area that circles however also about other mathematics ideas.

Most of the student figured the area that each size pizza in square inches and also then figured out, for each size, the expense of one square inch of pizza. In many cases, the larger pizzas were less expensive every square inch. Part students decided the pizzas were fine priced; others presented alternative pricing.

Jacob, for example, concluded: The deference in price is minimal when you look in ~ it ~ above a tiny scale yet if you were going come buy fifty thousand square customs of pizza for a big party friend were having actually while you parents were away for the weekend then you would have to consider what dimension pizza would certainly be the many economical.

Mike had a different strategy to economizing. The wrote: Skimp ~ above the toppings.

The students’ solutions and explanations revealed their knowledge not only about the area the circles however also around other math ideas. The students were interested in the various prices and sizes from various pizza places, and the problem was a great way come relate the mathematics they were discovering to the people outside that school.

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Figure 1. In her solution, Amanda discovered that the three different sizes of pizza no priced in proportion to their areas, but she no recommend prices.