InterMath | Workshop Support
Rockdale - Spring 2005

InterMath - GPS Alignment Course

INSTRUCTOR: Sarah Ledford
OFFICE: 614 Aderhold Hall, University of Georgia, Athens, GA 30602
TELEPHONE: (706) 542-4177
FAX: (706) 542-4551
EMAIL: sledford@uga.edu

Click here to view participant pages!!

The purpose of this course is for teachers to:

The participants in this course will be expected to:

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.