
INTERMATH  Rational Numbers Workshop 



Program:  Rational Numbers  Wednesday 
Location:  Atlanta Public Schools 
Instructor and Contact Information: 
Laurel Bleich LaurelBleich@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:
PARTICIPANTS
















COURSE SCHEDULE AND SYLLABUS
Wednesday, September 19  Week 1 Parts
 Introduction to InterMath
 Talking Points Quiz
 Demo Problem: Introduction to Fraction Bars
 Group investigations
Surrounding Numbers
 Individual Investigation
Land Dispute
Musical Chairs
Fractional Parts
Pandigital Fraction
Those Fractions in Between
Wednesday, September 26  Week 2 Parts of Parts
 Demo Problem: Let's Operate on Fractions
 Group investigations
Where is that Fraction?
Fraction Situations
 Individual Investigations:
Exploring Multiplication with Fractions
What Happens When...
Can you tell?
Fraction Figures
Wednesday, October 3  Week 3 Geometry, Fractions
 Demo Problem: Dividing a Rectangle
 Group Investigation
Double Trouble
 Individual investigations
Equal Portions
Cutting the Cake
Wednesday, October 10  Week 4 Pesky Parts I
 Demo Problems
Cans and Containers
Exploring Division with Fractions
 Individual investigations
The Meaning of 1/3
What does 3 divided by 1/2 look like?
Wednesday, October 17  Week 5 Pesky Parts II
 Group investigations
Division Pattern
Jacob's Idea
Natasha's Idea
Dueling Speakers
Wednesday, October 24  Week 6 Decimal Concepts
 Demo Problem: Approximate Digit Use
 Group Investigations
Estimating the Point
 Individual Investigations
Nonrepeating Decimals
Creating Integers
Unit fractions: Terminating, Repeating, or Neverending
What coins?
Money Puzzle
Difficult Change
Saturday, November 3 (tentative)  Week 7 Decimal Models
 Demo Problem: Representing Decimals
 Group Invesigations
Moving the Point
Decimal Division
Modeling Multiplication
 Individual Investigations
Spending it all
Library Fines
Decimal Products
Wednesday, November 7  Week 8 Percents
 Group Investigations
Beaker Comparison
Predicting the Value of a House
 Individual Investigations
Discounting Cars
Raising Salaries
Choosing a Loan
It's on Lacey
Drinking CocaCola
Wednesday, November 14  Week 9 Sum Difference
 Demo Problem: Mathopia Farm
 Group Investigations
Geometric Sequences and Series
Johnny's Rule
 Individual Investigations
Making Unit Fractions
Adding Fractions
Proper Fraction Fury
Splitting Fractions in Two
What Happens When...
Wednesday, November 28  Week 10 Ratios
 Group Investigations
Adding Ratios
Which is Larger?
Jumping Monkeys
Ratio of a + b to b + c
 Individual Investigations
Boys and Girls in the Class
Mathematics Football Players
Comparing Properties
Students in the Class
Building Roofs
Laurel's Muffins
Wednesday, December 5  Week 11 Proportional Simulations
 Demo Problem: Drink Mixes
 Group Investigations
Math & Cookies
Proportions and Graphs
 Individual Investigations
Maximum Capacity
Shopping for Soup
Which Movie is Best?
Fair Share
Wednesday, December 12  Week 12 Inverse Proportions
 Demo Problem: Inversely Proportional
 Group Investigations
Exploring Rectangle Properties
 Individual Investigations
Camera Lens Aperture
Volume and Pressure
Wednesday, December 19  Week 13 Geometry & Rational Numbers
 Demo Problem: Volume & Surface Area of a Cube
 Group Investigations
Intersecting Chords
Paper Folding
 Individual Investigations
Triangle in a Quadrilateral
Triangles in a Trapezoid
Proportional Rectangles
Week 14 Probability and Rational Numbers
 Group Investigations
Getting Free
Varying Probabilities
 Individual Investigations
Unfair Coins
Triangle Inside a Parallelogram
Medial Probabilities
Increasing Your Chances
Adding Marbles
Sum of the Dice
Bonus Free Throws
 Posttest