INTERMATH | Rational Numbers Workshop
August 26, 2008 through December 16, 2008

Program:	Rational Numbers - Tuesday - Fall, 2008
Location:	Board of Education Office
Instructor and Contact Information:	Rachael Brown brownra@uga.edu

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

Tuesday, August 26- Week 1  Introduction             

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

Tuesday, September 9 - Week 2   Parts             

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

Tuesday, September 16 - Week 3   More Parts!

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

Tuesday, September 23 -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

Tuesday, September 30- Week 5  Pesky Parts I

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

Tuesday, October 7- 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

Tuesday, October 14 - Week 7  Decimal Multiplication

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

Tuesday, October 21 - 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
   

Tuesday, October 28- Week 9  Recap

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

Tuesday, November 4- 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

Tuesday, November 18 - Week 11   Proportions

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

Tuesday, December 2- Week 12  Inverse Proportions

1. Group Investigations
   
   Proportions and Graphs
   
   
2. Individual Investigations
   
   Relationships

Tuesday, December 9- Week 13 Mathematical Connections

1. Group Investigations

Modeling Proportions
Mathopia Farm

Tuesday, December 16- Week 14  Rational Number Mania

1. Rational Number Discussion