Pi Day
Celebration
Stavros Center for Economic Education
University of South Florida
College of Education
Maggie Mixon
Lisa Lawson
February 27, 2024
Setting the Scene
Collaborate
with each other
Curiosity,
courage,
confidence
Setting the Scene
Our agenda for today:
Collaborate
with each other
Curiosity,
courage,
confidence
Define Pi
Explore Pi
Celebrate Pi
Session Objectives
Learning Targets
Session Objectives
Learning Targets
The Magical History of Pi
Why Pi?
For centuries, ancient scholars and scientists have puzzled over this mysterious number. What is it, what are its uses, and how has it figured in history?
Defining Pi
This mysterious 3.141592..., which comes in at every door and window, and down every chimney, calling itself the circumference to a unit of diameter.
Augustus De Morgan
Defined as the ratio of the circumference of a circle to its diameter.
Referred to as Archimedes' constant.
Commonly expressed as 3.1415929 or 22/7, although it is an irrational number with an infinite number of digits.
Defining Pi
Uses of Pi
a
b
Used to calculate volume, surface area, as well as the circumference of three-dimensional shapes.
Here are two important formulas that use pi:
Did anyone"discover" Pi?
Historical records do not clearly reveal who first "discovered" it or tried to calculate its value.
What we do know is that certain ancient civilizations-—the Babylonians, the Egyptians, the Greeks, and the Chinese — have tried to approximate pi through different ways.
Pi's Ancient History
In their calculations for the area of a circle, they took 3 times the square of its radius.
This gave a value of pi = 3.
This was later changed to 3.125
THE BABYLONIANS
(c. 2000 BCE)
THE EGYPTIANS
According to the Rhind papyrus—an ancient Egyptian scroll that contained mathematical problems and data—Ancient Egyptians used a value of 3.16045, or 256/81 for pi.
(c. 1650 BCE)
ARCHIMEDES
Archimedes is considered to be one of the greatest mathematicians of all time and is called "The Father of Integral Calculus". He developed an accurate method of obtaining pi by drawing a regular polygon inside a circle and another outside it.
(c. 250 BCE)
ZU CHONGZHI
(c. 429–500)
The Chinese mathematician Zu Chongzhi further refined the value of pi, although he did not come across the work of Archimedes during his lifetime. According to his calculations, the value of the ratio of the circumference of a circle to its diameter was 355/113. He expressed pi accurately up to 8 decimal places.
Calculating Pi
With the advent of mathematical innovations analyses came faster and more accurate ways of calculating for pi.
In the late 16OOs, Sir Isaac Newton was able to calculate its value up to 16 decimal places with the use of his binomial theorem.
Calculating Pi
By the advent of the 21st century, computers were able to express pi to 31,415,926,535,897 decimal places!
Pi's Relevance
Pi continues to puzzle and amaze people in modern society
It is celebrated
all over the world on March 14
and is known as Pi Day
Discuss Pi
Do you know any fun facts about Pi?
Do you know any interesting facts about Pi Day?
Turn and Talk
Happy 145th Birthday Einstein!!!
Explore Pi
Circular Objects
Area of Circles
Digits of Pi
Pi Art
Tic-Tac-Toe
Pi Activities
Description
Directions/Model
Clarify directions
Do
Circular Objects
Description
Directions/Model
Clarify directions
Do
Area of Circles
Description
Directions/Model
Clarify directions
Do
Digits of Pi
Description
Directions/Model
Clarify directions
Do
Pi Art
Description
Directions/Model
Clarify directions
Do
Tic-Tac-Toe
Discuss Pi Activities
Which activity was your favorite? Why?
How can you apply these activities in your classroom?
Turn and Talk
Celebrate Pi
Budgeting
Saving
Investing
Managing Money
Financial Literacy
How can we connect Pi Day to financial literacy?
Are there any financial implications or opportunities related to Pi Day?
Planning a Pi Day celebration within a budget. �
Calculating the cost of ingredients for baking Pi-themed treats.
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Financial Scenarios
Exploring discounts or sales related to Pi Day at local stores.
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Analyze scenario
Calculate relevant costs
Make financial decisions based on budget and available resources
Create a 3-minute group presentation that includes:
Directions
What challenges did you encounter in managing your budget for the Pi Day scenario? �
How did you apply mathematical concepts, such as addition, subtraction, multiplication, and division, to solve the financial problems?
What strategies did you use to prioritize spending and make financial decisions?
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Group Presentations
Discuss Pi Day Scenarios
Which scenario was your favorite? Why?
How can you apply these scenarios in your classroom?
Turn and Talk
“Probably no symbol in mathematics has evoked as much mystery, romanticism, misconception and human interest as the number Pi.”
—William L. Schaaf
MA.7.GR.1.3: Explore the proportional relationship between circumferences and diameters of circles. Apply a formula for the circumference of a circle to solve mathematical and real-world problems.
MA.7.GR.1.4: Explore and apply a formula to find the area of a circle to solve mathematical and real-world problems.
Align to Standards
B.E.S.T. Math Standards (Florida)
Align to Standards
Florida Financial Literacy Standards
SS.4.FL.2.7 Planning for spending can help people make informed choices. Develop a budget plan for spending, saving, and managing income.
SS.7.E.1.6 Compare the national budget process to the personal budget process.
SS.8.FL.2.5 Discuss the fact that people may revise their budget based on unplanned expenses and changes in income.
SS.912.E.1.16 Construct a one-year budget plan for a specific career path including expenses and construction of a credit plan for purchasing a major item.
SS.912.FL.3.9 Develop a budget based on a given income and expenses for long-term and short-term financial goals.
Discuss Benchmark Alignment
Which upcoming benchmarks can today’s learning be applied to in your classroom?
How will you incorporate ideas from today?
Turn and Talk
Thank you!
source:
“Pi.” Encyclopædia Britannica, Encyclopædia Britannica, Inc., https://kids.britannica.com/students/article/pi/602761.
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