Rational number course

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.

Day 1  Introduction             

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

Day 2  Parts

1. Group investigations
   
   Surrounding Numbers
   
   
   
2. Individual Investigations:
   
   Land Dispute
   Fractional Parts
   Pandigital Fraction
   Beaker Comparison
   

Day 3  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

Day 4 Pesky Parts I

1. Group investigations
    
   Cans and Containers
   Exploring Division with Fractions
   
   
2. Individual Investigations

Division Pattern
Jacob's Idea

Day 5 Pestky Parts II

1. Group Invesigations
   
   What does 3 divided by 1/2 look like?
   Juice Containers
   
   
2. Individual Investigations
   
   The Meaning of 1/3
   Natasha's Idea
   

Day 6 Decimal Multiplication

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

Day 7  Multiplication

1. Group Investigations
   
   Base-Ten Block Multiplication
   Exploring Multiplication with Fractions
   
   

Day 8  Decimal Division I

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

Day 9 Decimal Division II

1. Group Investigations
   
   Two Interpretations of Decimal Division
   
   

Day 10 Ratios

1. Group Investigations
   
   Adding Ratios
   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

Day 11 Proportions

1. Group Investigations
   
   Math & Cookies
   Proportions and Graphs
   
   
2. Individual Investigations
   
   Which Movie is Best?
   Fair Share
   Drink Mixes
   Intersecting Chords

Day 12 Inverse Proportions

1. Group Investigations
   
   Exploring Rectangle Properties
   Inversely Proportional
   
   
2. Individual Investigations
   

Camera Lens Aperture
Volume and Pressure

Day 13  Decimal Division II

1. Group Investigations
   
   Mathopia Farm

Day 14  Rational Number Mania

1. Rational Number Discussion