
INTERMATH  Rational Numbers Workshop 



Program:  Rational Numbers  Monday  Fall, 2008 
Location:  King Middle School 
Instructor and Contact Information: 
Laurel Bleich diw.uga@gmail.com 
WORKSHOP OBJECTIVES
The purpose of this course is for teachers to:
 Develop mathematical content knowledge
 Explore mathematical investigations using technology
 Become more proficient with technology for mathematical problem solving
 Align mathematical investigations with Georgia Performance Standards
The participants in this course will be expected to:
 Complete 10 writeups and align work with the GPS's
 Here is a template for your writeups (in Word format).
 Here is a sample writeup.
 Complete 2 lesson plans aligning with GPS's
 Here is a template for your lesson plan (in Word format).
 Write a reflection and email it to the instructor after each class meeting
PERFORMANCE INDICATORS
As a result of this course, participants will demonstrate their ability to:
COURSE SCHEDULE AND SYLLABUS
Monday, September 15 Week 1 Introduction
Monday, September 22  Week 2 Parts
 Group investigations
Introduction to Fraction Bars
 Individual Investigation
Beaker Comparison
Monday, September 29  Week 3 More Parts!
 Group investigations
Introduction to Fraction Bars (again!)
 Individual Investigations:
Surrounding Numbers
Fractional Parts
Pandigital Fraction
Thursday, October 9Week 4 Parts of Parts
 Group investigations
Where is that Fraction?
Fraction Situations
 Individual Investigations:
Can you tell?
Fraction Figures
Let's Operate on Fractions
Monday, October 13 Week 5 Pesky Parts I
 Group Investigations
Cans and Containers
Exploring Division with Fractions
 Individual investigations
Division Pattern
Jacob's Idea
Monday, October 20  Week 6 Pesky Parts II
 Group investigations
What does 3 divided by 1/2 look like?
Juice Containers
 Individual Investigations
Monday, October 27  Week 7 Decimal Multiplication
 Group Invesigations
Estimating the Point
Decimals as Arrays
 Individual Investigations
Decimal Diagram
Moving the Point
Partial Products & Decimals
Monday, November 3 Week 8 Decimal Division
 Group Investigations
Two Models of Decimal Division
Let's Help Ms. Lee
 Individual Investigations
Cliff or Evelyn?
Joel's Solution
Monday, November 10 Week 9 Recap
Monday, November 17 Week 10 Ratios
 Group Investigations
Adding Ratios
Which is Larger?
Jumping Monkeys
 Individual Investigations
Boys and Girls in the Class
How Does Zero Fit In?
Laurel's Muffins
Ratio of a + b to b + c
Monday, November 24  Week 11 Proportions
 Group Investigations
Purple Paint
 Individual Investigations
Which Movie is Best?
Fair Share
Drink Mixes
Monday, December 1 Week 12 Inverse Proportions
 Group Investigations
Proportions and Graphs
Exploring Rectangle Propoerties
 Individual Investigations
Relationships
Monday, December 8  Week 13 Mathematical Connections
 Group Investigations
Monday, December 15 Week 14 Rational Number Mania
 Rational Number Discussion
Mathopia Farm