Intel® in Education Intel Education: Unit and Project Plans

Overview and Benefits

Project Design

Unit Plan Index

Instructional Strategies

Hi Pi! Hi Pi!
 
At a Glance
Grade Level: Grade 8

Subjects: Mathematics, Language and social sciences

Topics: Mathematics, irrational numbers, pi, transcendental numbers, circles

Time Needed: 10 class periods (two weeks) of 40 minutes each

Key Learnings: Problem solving, information management skills, summarising and reporting, a fascination with the number, Pi

 
 
Things You Need
Critical outcomes
Identify and solve problems,
Work effectively with others
Communicate effectively
Organise and manage oneself
Collect, organize, analyse and critically evaluate information
Use science and technology effectively and critically

Specific outcomes
The learner will be able to recognise, describe and represent numbers.
The learner is able to describe and illustrate the historical and cultural development of the number pi.

Resources:
computer, internet connection, scanner, laser disk and printer Tip sheets for PowerPoint and Publisher
 
Unit Summary
This unit comprises a variety of activities which focus learners' attention on the historical and cultural development of an area of mathematics relating to the use of Pi.

Curriculum Framing Questions
Critical Question:
Why are some people fascinated by maths?
Unit Questions:
Why are so many people fascinated by the number pi?
Sample Content Questions:
How has pi been calculated through the ages?
How can pi be calculated?
What is the link between pi and poetry?


Instructional Procedures
This unit is the culmination of a series of lessons on the circumference of a circle. It is an attempt to focus learners' attention on the historical and cultural development of an area of mathematics. Learners are required to use a variety of sources of information including their textbook, the school media centre, the internet and MS Encarta CD-ROM.

The unit is introduced by using a whole class discussion.

An outline of the tasks is provided for learners which explains the steps in the project.

Learners work in groups of four on three separate but linked tasks:

  1. A PowerPoint presentation where they express their views on why the number pi is fascinating to so many people. They are required to reflect critically on information gained from a variety of sources. A sample PowerPoint presentation. An assessment rubric of the PowerPoint presentation is also available.
  2. A brochure created in MS Publisher where they advertise a Pi Day celebration which their class has organised. A planning document explains how the tasks are divided within the group. A sample brochure can be viewed as well as an assessment rubric.
  3. A website where they are required to present information about two lesser known or fun aspects of the number Pi. There is a sample website to be viewed as well as an assessment rubric. A number of other Pi websites link from the sample website.
Helpful management documents are available as follows:

A summary page
An Implementation plan
Pi websites
Sample Pi calculations
A sample Pi Natic Award certificate


Prerequisite Skills
Learners should be aware of the relationship between the circumference and the diameter of a circle (= pi).
Learners should have some experience of researching material using a variety of sources.

Differentiated Instruction
The nature of the tasks will allow for "gifted learners" to express their creativity

Assessment
A combination of educator, peer and self assessment will be used

Credits
Peter Davidson Fish Hoek Middle school, Cape Town as part of the Intel Teach to the Future programme



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