1. The Real Number System
Tuesday, July 11

2. Objectives and Agenda
Explain the sets of Numbers in the real number system
Classify numbers into real number sets
Number freak
Jigsaw activity
Venn diagram
Direct instruction – important terms/concepts
Classifying numbers activity
Exit slip

3. Excerpt from number freak16

4. Jigsaw activity Directions:
You will be divided into six groups to become experts on one of the sets of numbers in the real number system.
Use any of the three texts or research to define your number set. Prepare how you will present it.
Move to a mixed group where you will be teaching your number set to a group.

5. Jigsaw groups (Mixed Groups) Natural Numbers Whole Numbers Integers
Rational Numbers
Irrational Numbers
Real Numbers 1 2 3 4

6. Venn diagram
We will make a Venn diagram of the number sets together

7. Important terms/concepts
Percent
Opposite
Absolute value
Dividing by zero
Percent – Every rational number can be represented as a percent. Middle school students study percents after understanding fractions. Out of Give examples. 53/100 = 0.53 = 53% 0.5/100 = = 0.5%
Opposite – Additive Inverse -  one of a pair of numbers whose sum is zero; the opppsite or additive inverse of -5 is +5
Absolute Value – Distance from 0 on a number line. |8| = 8 |-8| = 8
Dividing by Zero – Undefined answer. 6 ÷ 0 = undefined because 0 • 0 ≠ 6

8. activity
Each group (1st Jigsaw group) will receive a number to place on the class venn diagram.
Write a number freak description of your number explaining in which sets the number belongs. Add any fascinating facts you wish about your number. Tell me all you can about your number.

9. Presentations of numbers

10. Exit slip
Tell me about a time when you were thinking like a mathematician today.