In the "Circle" of Life, What Difference Does
a "Pi" Make?

 

 

 

 
Web Design by Shawn Jordan

Subject: Technical Algebra II

Materials Needed: Computer, Printer, Internet Access, Excel, Microsoft Word, PowerPoint, Paper and Pencil

Grade: 9 - 12

Duration of Learning Web: One Week

Curriculum Standards (click to view all)
 

1.2        demonstrate an understanding of the relative size of rational and irrational numbers;

At Level 3, the student is able to

  • research the history of pi and its usages in the real world (e.g. effect of tire size on an odometer);
scrutinize approximate values of real numbers such as pi and other irrational numbers

 

 

OBJECTIVES OF THIS LEARNING WEB

1. Find the relationship between circumference and diameter of a circle.

2. Learn the definition & history of Pi.

3. Discover real world uses of Pi.

 

So, what's the problem dude?? (click on the "dude" to find out)

 

 

ACTIVITY #1 - REVIEW

INSTRUCTIONS:

Click on each of the items below to review. (Comprehension)

 

RATIO IRRATIONAL NUMBER RATIONAL NUMBER

 

ACTIVITY #2 - MEASURING CIRCLES

INSTRUCTIONS:

1. Before you begin this activity, create a chart in Excel to record your measurement of circles. Click on the Excel Scaffolding button below to begin. PRINT OUT YOUR CHART and use it for step #2 of this activity.

2. You will perform the exercise Measuring Circles using the Excel chart you just printed. Click on the Measuring Circles button below to begin. You will only fill out column A, B, and C in your chart (using no more than 5 to 10 decimal points).

3. Calculate the average of column C and write it on your chart. Using the Average Number, write a formula for finding the circumference of a circular object. Write it on you chart. (Application) (Analysis)

 

Excel Scaffolding Measuring Circles

 

ACTIVITY #3 - LEARNING ABOUT PI

INSTRUCTIONS:

1. Click on the website links below and Learn about Pi. On a sheet of paper, write down 3 descriptions of Pi and 3 historical facts about Pi.

2. Create a PowerPoint presentation using the notes you took in step one. Click on the PowerPoint button below to begin. (Synthesis)

 

About Pi  PowerPoint Scaffolding
Facts about Pi
Pi Poem
A History of Pi
Pi in Real Life
Digits of Pi

ACTIVITY #4 - REAL WORLD APPLICATIONS - JUST FOR FUN or EXTRA CREDIT

INSTRUCTIONS:

1. Click on the Tires below and read the real world situation of the constant Pi. As you saw in your Measuring Circles activity, when the diameter (height) of a circle (tire) increases, so does the circumference (length of rotation) of the circle (tire). See how this can affect your odometer and speedometer readings when you change the size of your automobile tires. You can earn extra credit by working the Einstein Problem. Click on Einstein to begin.

3.Click on link under the Crop Circle for a look a recent mathematical find!!!

What a difference a

 tires makes!

Are you an

Einstein?

 

Can you believe this crop circle represents Pi?

 

http://www.earthfiles.com/news.php?ID=1434&category=Environment

 

Assessment

Instructions:

 

1.      Click on Rubric button and print out the Rubric chart.  Fill in a fair assessment of your Web Learning assignment according to the points allotted. Then, in the comments column write a brief self evaluation for each activity listed. Your assessment will not affect my evaluation. (Evaluation)

2.   When you have completed all assignments, place work in folder (in the order of activities). Submit folder to teacher as soon as you are done. 

RUBRIC

 

Websites

http://tennessee.gov/education/ci/math/techalgebra.shtml

http://www.harcourtschool.com/glossary/math_advantage/glossary8.html

http://www.arcytech.org/java/pi/measuring.html

http://mathforum.org/dr.math/faq/faq.pi.html

http://mathforum.org/library/drmath/view/57543.html

http://www.eveandersson.com/pi/poetry/pi-is-transcendental

http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Pi_through_the_ages.html

http://mathforum.org/library/drmath/view/57045.html

http://www.eveandersson.com/pi/digits/

http://wiki.answers.com/Q/Does_rim_or_tire_size_change_mileage

http://www.mirafiori.com/faq/content/Tire_Diameters.pdf

Some clip art was found on google images:  http://images.google.com/imghp?hl=en&tab=wi