# 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:

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

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

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

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

Tuesday, December 16- Week 14  Rational Number Mania

1. Rational Number Discussion