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2N1 , SEMANA 1, VOL.4
3
2N1 - Semana 2, vol.4
LITERATURA - Música é poesia musicada.
π = 3.14159265...
Then the circumference (all the way around the circle) is 3.14159265...
a number known as Pi
1
Draw a circle with a diameter
(all the way across the circle) of 1
The definition of π is: the circumference divided by the diameter of a circle.
WHAT IS PI?
2. We can use π to find a diameter when we know the circumference
π
USING PI
Circumference =
Diameter
Using
Pi
1. We can use π to find a circumference when we know the diameter
π
Diameter
Circumference =
Circumference
Diameter
Radius
is approximately equal to:
Here is π with the first 100 decimal places
3.14159265358979323846…
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679...
The digits go on and on with no pattern. π has been calculated to over two quadrillion decimal places and still there is no pattern to the digits.
Take 5 minutes to review π with the first 100 decimal places. How many digits can you memorize? Share with a neighbor.
DIGITS
Digits
MORE ABOUT PI
What else should you know about π?
Class question:
Given what was relayed in the video, where else might you see π in the world around you? Think, pair, share, and then we’ll share out.
Pi & The Fibonacci Sequence
More
About Pi
Buffon’s Needle & Calculating π
WHAT'S GOING ON?
2L
# of tries
What were your results?
= 3.1415...
π =
# of hits
D
What were your observations?
What's
Going On?
What would happen if you did this activity for more than 15 minutes?
What about all day?
This method of calculating
Pi is known as Buffon’s Needle.
Assembly & To Do and Notice
https://www.exploratorium.edu/snacks/pi-toss
CALCULATE PI
How else can we calculate π?
Class question:
Explain to your neighbor why the second attempt at throwing darts to calculate Pi was more accurate. Then we’ll share out.
Calculate
Pi
WHAT IS PI DAY?
MARCH
14th
The first Pi Day was celebrated on 3.14.1988 at The Exploratorium in San Francisco:
3/14 or 3.14
https://www.exploratorium.edu/pi/
This also happens to be Einstein’s birthday!
Class question:
What is an activity that you could do to celebrate Pi Day?
VISUALIZING PI
Visualizing Pi
https://www.pbs.org/education/blog/21-pi-day-resources-for-your-classroom
INTERACTIVE PI?
Interactive
Pi
Find Your Pi Day
http://mypiday.com
Pi
Quiz
QUIZ PI
PiDay: Pi Quiz
https://www.piday.org/pi-quiz/
1. Come up with a fun project that celebrates Pi Day. Need inspiration?
Look here:
https://www.weareteachers.com/pi-day-activities/
ASSIGNMENT
Assignment
Throughout this lesson, you have learned about Pi.
Are you ready to celebrate?
2. Turn it into a Prezi presentation or video to share your findings. Below are some tutorials on how to do both. It’s fast, fun, and easy.
https://prezi.com/view/RR3rhXFJwxDoHgpakMPz/