# 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:

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

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

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

Monday, December 15- Week 14  Rational Number Mania

1. Rational Number Discussion
Mathopia Farm