The purpose of this course is for teachers to:

• Develop mathematical content knowledge

• Explore mathematical investigations using technology

• Become more technology proficient

• Align mathematical investigations with Georgia Performance Standards

The participants in this course will be expected to:

• Complete 5 write-ups and align work with the GPS’s

• Complete 5 write-ups that align to given GPS’s

• Complete 2 lesson plans aligning with GPS’s

Week 1  Number Concept – Integers                   

1. Introduction to InterMath

2. Discussion of GPS's

3. Group investigations
       How Old are Three Daughters?
       McNugget Numbers

4. Introduction to Excel

5. Discussion of write-up and Individual Investigations
       Planning Cruises
       The Frog Race
       Locker Counting

Week 2  Number Concept – Integers                 

1. Group investigations
       Want to be a Millionaire?
       Square Root Patterns

2. Discussion of GPS’s and write-up

3. More on Excel

4. Individual investigations
       Double Exponents & Same Base Multiples & Exponents
       Irrational to Rational
       The Last Digit

5. Write-up to include GPS’s that could come up in class discussion and how they could come out.

Week 3   Number Concept – Rational Numbers

1. Group investigations
       Creating Integers
       The Salesman and the Eggs

2. Discussion of GPS’s and write-up

3. More on Excel

4. Individual investigations
       Ordering Fractions
       Fractional Parts
       Johnny's Rule
       Buying Pollywogs

5. Write-up to include GPS’s that could come up in class discussion and how they could come out.           

Week 4  Algebra – Patterns

1. Group investigations
       Arranging Toothpicks
       Pascal's Patterns

2. Discussion of GPS’s and write-up

3. Individual investigation of problem found by participants that should elicit discussion of given GPS’s
       Consecutive Odds and Evens
       Going Fishing
       Tri-Square Trios

4. Write-up to include GPS’s that could come up in class discussion and how they could come out.

Week 5  Algebra – Patterns

1. Group investigations
       Theater Seating
       Gretel's Goldfish

2. Discussion of GPS’s and write-up

3. Individual investigations
       Hot Air Balloons
       Counting Stones
       Squares on a Checkerboard
       Hypatia's Triumph

4. Write-up to include GPS’s that could come up in class discussion and how they could come out.

Week 6  Algebra – Functions

1. Group investigations
       Modifying the Slope and Y-Intercept
       Triangle from a Line

2. Introduction to Graphing Calculator

3. Discussion of GPS’s and write-up

4. Individual investigations
       Multiple Inequalities
       Burglar Alarm
       Counting Coins

5. Write-up to include GPS’s that could come up in class discussion and how they could come out.

Week 7  Algebra – Functions

1. Group investigations
       Intersecting Functions
       Composite Functions

2. Review of Graphing Calculator

3. Discussion of GPS’s and write-up

4. Individual investigations
       Multiple Solutions
       Bouncing Ball
       Supper with Skiing
       Using Roots to Generate an Equation

5. Write-up to include GPS’s that could come up in class discussion and how they could come out.

Week 8  Algebra – Graphing

1. Group investigations
       Comparing Lines
       Intersecting Graphs

2. Review of Graphing Calculator

3. Discussion of GPS’s and write-up

4. Individual investigations
       Coefficients that Effect the Graph
       Temperature Comparisons
       Solving Graphically
       X-Intercept Transformation

5. Write-up to include GPS’s that could come up in class discussion and how they could come out.

Week 9  Geometry – Points, Lines, and Planes

1. Group Investigations
       All Swimmed Out
       Sum of Exterior Angles

2. Introduction to Geometer’s Sketchpad

3. Discussion of GPS’s and write-up

4. Individual Investigations
       Intersecting Chords
       Constructing Quadrilaterals
       Intersecting Circles

5. Write-up to include GPS’s that could come up in class discussion and how they could come out.

Week 10 Geometry – Circles      

1. Group Investigations
       Maximal Volume of a Cone
       Angles in a Circle

2. Discussion of GPS’s and write-up

3. Individual Investigations
       Tangent Along the Diameter
       N-Sided Circle
       Changes in the Circumference

4. Write-up to include GPS’s that could come up in class discussion and how they could come out.

Week 11  Geometry – Triangles

1. Group Investigations
       Triangle Inside a Rectangle
       Half as Much May be Right

2. Discussion of GPS’s and write-up

3. Individual Investigations
       Classified Information
       Capture the Flag
       Casting Shadows

4. Write-up to include GPS’s that could come up in class discussion and how they could come out.

Week 12  Geometry – Quadrilaterals

1. Group Investigations

       Two Squares
       Penning for Pony

2. Discussion of GPS’s and write-up

3. Individual Investigations
       Mystery Quadrilaterals
       Water Stop
       Minimum Perimeter

4. Write-up to include GPS’s that could come up in class discussion and how they could come out.

Week 13  Geometry – Polygons

1. Group Investigations
       Tessellation Restrictions

       Sum of Angles in a Polygon

2. Discussion of GPS’s and write-up

3. Individual Investigations
       Apothem and Area
       Symmetry Lines
       Pentagram Triangles

4. Write-up to include GPS’s that could come up in class discussion and how they could come out.

Week 14  Data Analysis – Probability

1. Group Investigations
       Adding Marbles
       Rolling Die

2. Discussion of GPS’s and write-up

3. Individual Investigations
       Increasing Your Chances
       One Probability
       Varying Probabilities

4. Write-up to include GPS’s that could come up in class discussion and how they could come out.

Week 15  Data Analysis - Statistics

1. Group Investigations
       Ten Apart and Introducing Outliers

       Taking Classes   

2. Discussion of GPS’s and write-up

3. Individual Investigations
       Computer Usage
       Transformations of Data
       Favorite Dessert

4. Write-up to include GPS’s that could come up in class discussion and how they could come out.