InterMath | Workshop Support
 Rockdale - Spring 2005

#### 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

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

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
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

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

2. Discussion of GPS’s and write-up

3. Individual Investigations
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

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
Rolling Die

2. Discussion of GPS’s and write-up

3. Individual Investigations
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

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.