STANDARDS

CCSS: 6.SP.B.4, 6.SP.B.5, 7.SP.B.3, 8.SP.A.1, MP1, MP5, MP6

TEKS: 6.12A, 6.12B, 6.12C, 6.12D, 6.13A, 7.6G, 7.12A, 8.5C, 8.11A

A Slice of Pi

March 14 may seem like an average day, but math enthusiasts around the world celebrate it as Pi Day! Pi, also expressed using the Greek letter π, is one of the most widely used constants in math. It represents the ratio for the circumference of a circle to its diameter, and equals approximately 3.14159.

Pi is an irrational number. Its decimal values go on indefinitely—but that hasn’t stopped mathematicians from trying to calculate them for thousands of years. The earliest records of pi date back to the ancient Babylonians. They estimated pi as 3.125. Today, computers have calculated more than 22 trillion digits of pi!

Despite the ancient history of pi, celebrating it every March 14 is a relatively new tradition. Physicist Larry Shaw organized the first-ever Pi Day celebration at San Francisco’s Exploratorium in 1988. The museum has had one every year since. “One of our favorite things to do at the Exploratorium is to write pi-kus, which are poems in the haiku style that are about pi,” says senior scientist Julie Yu. “And everyone gets free pie!”

But Yu and her fellow scientists at the Exploratorium aren’t the only ones celebrating Pi Day. In 2009, Congress declared Pi Day a national holiday. Read on to explore statistics about many mathematicians’ favorite holiday!

Google Quiz

Click the Google Quiz button below to share an interactive version of the questions with your class. Click Download PDF for the non-interactive blank Answer Sheet.

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Illustration by RJ Matson, Copyright © 2015 by Rosanna Pansino from The Nerdy Nummies Cookbook published by Atria Books, a division of Simon & Schuster, Inc. Photography by Michael Schmidt

Answer the following questions using the information in the charts and graphs above. Record your work and answers on our answer sheet.

Which digit appears with the greatest frequency in the first 100 digits of pi?

A. 0

B. 3

C. 7

D. 9

How many teaspoons of cinnamon and cloves combined are in one apple pi pie?

A. 3/4

B. 1 1/2

C. 1 3/4

D. 1 7/8

Brahamagupta’s pi approximation is a(n) ___ number.

A. rational

B. irrational

C. exponential

D. negative

About what percent of digits in the first 100 digits of pi are multiples of 3?

A. 34%

B. 43%

C. 72%

D. 88%

In the current record of known decimal places of pi, what’s the place value of the 4?

A. Hundred millions

B. Ten billions

C. Ten trillions

D. Hundred billions

Which mathematicians used inequalities to estimate pi?

A. Archimedes and Zu Chongzhi

B. Brahmagupta and Archimedes

C. Zu Chongzhi and Leibniz

D. Leibniz and Brahmagupta

What is the probability, in simplest form, that a digit picked at random from the first 100 digits of pi would be a 2?

Rewrite Archimedes’ pi estimation with decimals rounded to the ten thousandths.

How many apple pi pies could you make if you had teaspoons of ground allspice?

Describe in words what pattern(s) you see in Leibniz’s series for pi.

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