# INTERMATH | Rational Numbers Workshop

 Atlanta Public Schools - June 6, 2008 through June 20, 2008

 Program: Rational Numbers - Summer, 2008 Location: Atlanta Public Schools 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.

PARTICIPANTS

COURSE SCHEDULE AND SYLLABUS

Monday, June 9- Day 1  Parts

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

Surrounding Numbers
Introduction to Fraction Bars

4. Individual Investigation

Land Dispute
Fractional Parts
Pandigital Fraction
Beaker Comparison

Tuesday, June 10- Day 2  Parts of Parts

1. Group investigations

Fraction Situations

2. Individual Investigations:

Exploring Multiplication with Fractions
Can you tell?
Fraction Figures
Let's Operate on Fractions

Wednesday, June 11- Day 3  Pesky Parts I

1. Group Investigations

Cans and Containers
Exploring Division with Fractions

2. Individual investigations

Division Pattern
Jacob's Idea

Thursday, June 12- Day 4 Pesky Parts II

1. Group investigations

What does 3 divided by 1/2 look like?

2. Individual Investigations

Friday, June 13- Day 5 Decimal Multiplication

1. Group Invesigations

Estimating the Point
Decimals as Arrays

2. Individual Investigations

Decimal Diagram
Moving the Point
Base-Ten Block Multiplication
Partial Products & Decimals

Monday, June 16- Day 6 Decimal Division

1. Group Investigations

Two Models of Decimal Division
Let's Help Ms. Lee

2. Individual Investigations

Cliff or Evelyn?
Joel's Solution
Two Interpretations of Decimal Division

Tuesday, June 17 - Day 7  Ratios and Difference between Ratios and Fractions

1. Group Investigations

Which is Larger?
Jumping Monkeys

2. Individual Investigations

Boys and Girls in the Class
Mathematics Football Players
Laurel's Muffins
Ratio of a + b to b + c

Wednesday, June 18- Day 8  Proportional Situations

1. Group Investigations

Proportions and Graphs

2. Individual Investigations

Which Movie is Best?
Fair Share
Drink Mixes
Intersecting Chords

Thursday, June 19- Day 9 Inverse Proportions

1. Group Investigations

Exploring Rectangle Properties

Inversely Proportional

2. Individual Investigations

Camera Lens Aperture
Volume and Pressure

Friday, June 20- Day 10 Mathematical Connections

1. Group Investigations

Mathopia Farm