INTERMATH | Rational Numbers Workshop
September 8, 2008 through December 15, 2008

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 write-ups and align work with the GPS's
  • Here is a template for your write-ups (in Word format).
  • Here is a sample write-up.
• 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:

• Incorporate technology into the learning and teaching of rational number concepts.
• Communicate mathematical understanding of a variety of rational number concepts in the form of an online portfolio of investigation solutions.
• Plan middle school instructional activities based on InterMath experiences.

 COURSE SCHEDULE AND SYLLABUS

Monday, September 15- Week 1  Introduction             

1. Introduction to InterMath
   
2. Talking Points Quiz
   
3. Group investigations
   
   
   

Monday, September 22 - Week 2   Parts             

1. Group investigations
   
   Introduction to Fraction Bars
   
   
2. Individual Investigation
   
   Beaker Comparison

Monday, September 29 - Week 3  More Parts!

1. Group investigations
   
   Introduction to Fraction Bars (again!)
   
   
2. Individual Investigations:
   
   Surrounding Numbers
   Fractional Parts
   Pandigital Fraction

Thursday, October 9-Week 4   Parts of Parts

1. Group investigations
   
   Where is that Fraction?
   Fraction Situations
   
   
2. Individual Investigations:
   
   Can you tell?
   Fraction Figures
   Let's Operate on Fractions

Monday, October 13- Week 5  Pesky Parts I

1. Group Investigations
   
   Cans and Containers
   Exploring Division with Fractions
   
   
2. Individual investigations
   
   Division Pattern
   Jacob's Idea

Monday, October 20 - Week 6  Pesky Parts II

1. Group investigations
   
   What does 3 divided by 1/2 look like?
   Juice Containers
   
   
2. Individual Investigations

The Meaning of 1/3
Natasha's Idea

Monday, October 27 - Week 7  Decimal Multiplication

1. Group Invesigations
   
   Estimating the Point
   Decimals as Arrays
   
   
2. Individual Investigations
   
   Decimal Diagram
   Moving the Point
   Partial Products & Decimals
   
   

Monday, November 3- Week 8  Decimal Division

1. Group Investigations
   
   Two Models of Decimal Division
   Let's Help Ms. Lee
   
   
2. Individual Investigations
   
   Cliff or Evelyn?
   Joel's Solution
   

Monday, November 10- Week 9  Recap

1. Group Investigations
   
   Base-Ten Block Multiplication
   Exploring Multiplication with Fractions
   Two Interpretations of Decimal Division
   Division Situations
   

Monday, November 17- Week 10   Ratios

1. Group Investigations
   
   Adding Ratios
   Which is Larger?
   Jumping Monkeys
   
   
2. 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

1. Group Investigations
   
   Purple Paint
   
   
2. Individual Investigations
   
   Which Movie is Best?
   Fair Share
   Drink Mixes
   

Monday, December 1- Week 12  Inverse Proportions

1. Group Investigations
   
   Proportions and Graphs
   Exploring Rectangle Propoerties
   
2. Individual Investigations
   
   Relationships

Monday, December 8 - Week 13 Mathematical Connections

1. Group Investigations

Modeling Proportions

Monday, December 15- Week 14  Rational Number Mania

1. Rational Number Discussion
   Mathopia Farm