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Learning Interchange
Units of Practice

"PI" Day

Lesson Details


Subject: Math
Learning Levels: Intermediate, Middle School, High School
Author(s): Tosha Williams
Submitted by:

Abstract

One step operations has been covered and in the intensive math class, designed to help students work effectively on the FCAT, the next unit was Geometry. Basic use of formulas for two- and three-dimensional objects. In dealing with circular objects, the students were having a difficult time understanding the use of pi and why we even have to use it. With this confusion also came a lack of interest in learning. This activity was a way for me to spark interest in my students and not feel so intimidated by the number "pi". Following this activity, students should feel more comfortable with the use of "pi".

Lesson fundamental understandings:
Essential Questions:


Standards

National Standards

Analyze characteristics and properties of two- and three-dimensional geometric objects

State Standards


Lesson

Prerequisite Skills

Students should recognize circular objects and know the basic calculating process of formulas for two- and three-dimensional objects.

Teacher Information/Situations/Setting/Time

One week before "Pi" Day, announce to the students that they should do some research on pi - look up info. on the internet, look in the encyclopedia, history books, etc. Everyone should bring in a report on pi that includes a brief documentation of where information was found.

"Pi" Day -
1) Lab Activity
2) "Pi" reports
3) Geometry Sketchpad demo
4) Eat Pie!!

Assessment

Lab:
Check for accuracy of calculation and reasonableness of answer for mearsurements of the circumference and diameter.

Report:
Student had to turn in a report but was given extra credit if read out loud to the class. Report had to be typed or handwritten neatly. Grammar and spelling will be checked.

Journal Entry:
What did you learn in this activity? What do you feel is still a concern when working with formulas that include "pi"?

Student Activity/Tasks

DISCOVERING 'PI' LAB

Materials:(per student) blank sheet of paper, circle pattern, piece of string, a small piece of tape and ruler

1) Trace the circle pattern onto the blank sheet of paper.

2) As accurately as possible, measure the diameter of your circle. Record your data.

3) Tape one end of the string to any point on the circle. Trace the circle with the string (taping along the way at various points). Without overlapping the ends of the string, cut the string where the ends meet. Measure the length of the string. Record your data.

4) Divide the circumference of your circle (data in #3) by the diamete of your circle (data in #4). Record your answer.

5) Share with the class your answer in #5. What pattern do you see? (all should be close to 3.14......) Discuss as a class why the variation in data.

Enrichment/Alternate Activity:

To follow up and add as wrap up - serve PIE to the students. This was funded for my class through a grant for incentives for at-risk students. You may see if your cafeteria staff will help, sometimes local businesses or restaurants will donate if you let them know in advance.

Cross-Curricular:

Technology Requirements/Tools/Materials

http://www.geocities.com/CapeCanaveral/Hall/2449
http://gallery.uunet.be/kurtvdb/pi.html

Geometer's Sketchpad Animation on Pi. Let students view- preferrably on a large screen if available.

Acknowledgements:


Additional Resources

Main URL:

Related Lessons

Related Resources




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