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  This lesson provided by:  
Author:Leslie Arnold
System: Cullman County
School: Fairview Middle School

  General Lesson Information  
Lesson Plan ID: 14609

Title:

Finding Pi - A Math Adventure

Overview/Annotation:

In this lesson students will hear the story of Sir Cumference and the Dragon of Pi and participate in class activities to discover pi. Technology resources will be used to display results.


 Associated Standards and Objectives 
Content Standard(s):
TC2 (6-8)
5. Use basic features of word processing, spreadsheets, databases, and presentation software.
Examples: word processing—reports, letters, brochures
spreadsheets—discovering patterns, tracking spending, creating budgets
databases—contact list of addresses and telephone numbers
presentation software—slideshow
 
TC2 (6-8)
6. Select specific digital tools for completing curriculum-related tasks.
Examples: spreadsheet for budgets, word processing software for essays, probes for data collection
 
MA2015 (6)
5. Fluently divide multi-digit numbers using the standard algorithm. [6-NS2]
 
MA2015 (6)
6. Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. [6-NS3]
 

Local/National Standards:

 

Primary Learning Objective(s):

Students will find the circumference of circles. Students will identify pi to the hundredths place. Students will use spreadsheet software to calculate and display results.

Additional Learning Objective(s):

 

 Preparation Information 

Total Duration:

91 to 120 Minutes

Materials and Resources:

Sir Cumference and the Dragon of Pi, by Cindy Neuschwander; several circular objects (ideally objects should measure to whole or half inches for ease in measuring and computing), tape measures for student use

Technology Resources Needed:

Computer with Internet access, spreadsheet software

Background/Preparation:

Students should have experience measuring objects, dividing with remainders, using calculators, and using spreadsheet software


  Procedures/Activities: 
 
1.)Explain that students will be learning about measuring circles and a mysterious number called "pi". Define the terms circumference, radius and diameter. Read the book Sir Cumference and the Dragon of Pi to the class.
Card catalog description: When Sir Cumference drinks a potion which turns him into a dragon, his son Radius searches for the magic number known as pi which will restore him to his former shape.)

2.)Divide students into groups of 2-3. Using tape measures, instruct the groups to measure the circumference and diameter of the circular objects they have been given. (Another option that may be easier for students is to use string to measure around the objects and then measure the length of the string with a ruler.) Remind them to measure CAREFULLY!

3.)Allow students to work on their own. Monitor the room for questions and to make sure the students measure correctly.

4.)Together the class should record the groups' measurements in a table. Then using calculators, divide (circumference/diameter) and record their findings to the hundredths place. (OPTIONAL: Use a spreadsheet program to record and calculate the measurements. See attached table to use or adapt for use.)

5.)Ask students to look for any pattern in the results. They should notice that circumference/diameter is always around 3.14. Explain that this number is called "pi". Assign students to computer stations and have them explore the history of pi. After students have been given adequate time to explore the site discuss the information as a group. What did they find most interesting? How far do they think they can calculate pi?

6.)(If a phone is available for student use at school this portion of the lesson can be completed during class time. If not, assign this step for homework.) Tell students that they can use what they have learned to find out which local pizza restaurants offer the most pizza for the least amount of money. Allow students to call predetermined local pizza restaurants and ask for pricing on small, medium and large cheese pizzas. They also need to find out how many inches each size pizza is. Students should record this information for later use.

7.)Review the definition of radius. Tell students that they can use the pizza measurements to determine the radius (diameter/2). Next explain that the formula to find the area of a circle is Area=Pi x radius x radius. Instruct students to find the radius of their pizzas and record their findings.

8.)Next students will divide the cost of the pizza by the area of the pizza to get cost per square inch. Students should do this for each size and record their findings on the chart or table. Findings should be compared to determine the best pizza value for the money.

9.)As a fun culminating activity visit the site below and let students sing along to the "Digit Connection".
(The Digit Connection)
A song about pi to the tune of "The Rainbow Connection"


Attachments:
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  Assessment  

Assessment Strategies

Evaluate students' skill at measuring by passing out different-sized circles and having students measure to find circumference and diameter of the circle. Then have them divide c/d to find pi. They should show their calculations. This can be used as a formal assessment.


Acceleration:

Start a "Pi Chart" around the room by using butcher paper to see how far the class can compute pi.

Intervention:

 
Each area below is a direct link to general teaching strategies/classroom accommodations for students with identified learning and/or behavior problems such as: reading or math performance below grade level; test or classroom assignments/quizzes at a failing level; failure to complete assignments independently; difficulty with short-term memory, abstract concepts, staying on task, or following directions; poor peer interaction or temper tantrums, and other learning or behavior problems.

Presentation of Material Environment
Time Demands Materials
Attention Using Groups and Peers
Assisting the Reluctant Starter Dealing with Inappropriate Behavior

Be sure to check the student's IEP for specific accommodations.
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