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 GPS Alignment Course 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                    Introduction to InterMath Discussion of GPS's Group investigations     How Old are Three Daughters?     McNugget Numbers Introduction to Excel Discussion of write-up and Individual Investigations     Planning Cruises     The Frog Race     Locker Counting Week 2  Number Concept – Integers Group investigations     Want to be a Millionaire?     Square Root Patterns Discussion of GPS’s and write-up More on Excel Individual investigations     Double Exponents & Same Base Multiples & Exponents     Irrational to Rational     The Last Digit 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 Group investigations     Creating Integers     The Salesman and the Eggs Discussion of GPS’s and write-up More on Excel Individual investigations     Ordering Fractions     Fractional Parts     Johnny's Rule     Buying Pollywogs Write-up to include GPS’s that could come up in class discussion and how they could come out. Week 4  Algebra – Patterns Group investigations     Arranging Toothpicks     Pascal's Patterns Discussion of GPS’s and write-up Individual investigation of problem found by participants that should elicit discussion of given GPS’s     Consecutive Odds and Evens     Going Fishing     Tri-Square Trios Write-up to include GPS’s that could come up in class discussion and how they could come out. Week 5  Algebra – Patterns Group investigations     Theater Seating     Gretel's Goldfish Discussion of GPS’s and write-up Individual investigations     Hot Air Balloons     Counting Stones     Squares on a Checkerboard     Hypatia's Triumph Write-up to include GPS’s that could come up in class discussion and how they could come out. Week 6  Algebra – Functions Group investigations     Modifying the Slope and Y-Intercept     Triangle from a Line Introduction to Graphing Calculator Discussion of GPS’s and write-up Individual investigations     Multiple Inequalities     Burglar Alarm     Counting Coins Write-up to include GPS’s that could come up in class discussion and how they could come out. Week 7  Algebra – Functions Group investigations     Intersecting Functions     Composite Functions Review of Graphing Calculator Discussion of GPS’s and write-up Individual investigations     Multiple Solutions     Bouncing Ball     Supper with Skiing     Using Roots to Generate an Equation Write-up to include GPS’s that could come up in class discussion and how they could come out. Week 8  Algebra – Graphing Group investigations     Comparing Lines     Intersecting Graphs Review of Graphing Calculator Discussion of GPS’s and write-up Individual investigations     Coefficients that Effect the Graph     Temperature Comparisons     Solving Graphically     X-Intercept Transformation 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 Group Investigations     All Swimmed Out     Sum of Exterior Angles Introduction to Geometer’s Sketchpad Discussion of GPS’s and write-up Individual Investigations     Intersecting Chords     Constructing Quadrilaterals     Intersecting Circles Write-up to include GPS’s that could come up in class discussion and how they could come out. Week 10 Geometry – Circles Group Investigations     Maximal Volume of a Cone     Angles in a Circle Discussion of GPS’s and write-up Individual Investigations     Tangent Along the Diameter     N-Sided Circle     Changes in the Circumference Write-up to include GPS’s that could come up in class discussion and how they could come out. Week 11  Geometry – Triangles Group Investigations     Triangle Inside a Rectangle     Half as Much May be Right Discussion of GPS’s and write-up Individual Investigations     Classified Information     Capture the Flag     Casting Shadows Write-up to include GPS’s that could come up in class discussion and how they could come out. Week 12  Geometry – Quadrilaterals Group Investigations         Two Squares     Penning for Pony Discussion of GPS’s and write-up Individual Investigations     Mystery Quadrilaterals     Water Stop     Minimum Perimeter Write-up to include GPS’s that could come up in class discussion and how they could come out. Week 13  Geometry – Polygons Group Investigations         Tessellation Restrictions         Sum of Angles in a Polygon Discussion of GPS’s and write-up Individual Investigations     Apothem and Area     Symmetry Lines     Pentagram Triangles Write-up to include GPS’s that could come up in class discussion and how they could come out. Week 14  Data Analysis – Probability Group Investigations     Adding Marbles     Rolling Die Discussion of GPS’s and write-up Individual Investigations     Increasing Your Chances     One Probability     Varying Probabilities Write-up to include GPS’s that could come up in class discussion and how they could come out. Week 15  Data Analysis - Statistics Group Investigations     Ten Apart and Introducing Outliers         Taking Classes    Discussion of GPS’s and write-up Individual Investigations     Computer Usage     Transformations of Data     Favorite Dessert Write-up to include GPS’s that could come up in class discussion and how they could come out. Note to Instructor: The instructor pages include GPS alignment and how we envision the mathematical content could develop in a class discussion or an individual exploration. What we have outlined for each GPS alignment is merely a possibility and may or may not appear in your class discussion. Likewise, you may find other GPS's that align with a given investigation that we have not included.