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The Geometer’s Sketchpad

The Geometer’s Sketchpad. Dr. Mufid Abudiab Mrs. Marcia Venzon Mrs. Fatma Abudiab. Outline. Introduction - Terms and Definitions - Geometer's Sketchpad (GSP) - Basic Skills in GSP Activities on Angles Formed by Parallel Lines and Transversal Types of Triangles

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The Geometer’s Sketchpad

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  1. The Geometer’s Sketchpad Dr. Mufid Abudiab Mrs. Marcia Venzon Mrs. Fatma Abudiab GEAR UP/STAR - Summer Math Institute

  2. Outline • Introduction - Terms and Definitions - Geometer's Sketchpad (GSP) - Basic Skills in GSP • Activities on • Angles Formed by Parallel Lines and Transversal • Types of Triangles • Quadrilaterals • Transformation • Animation GEAR UP/STAR - Summer Math Institute

  3. Introduction: Geometer's Sketchpad Geometer's Sketchpad …. software system for creating, exploring, and analyzing a wide range of mathematics. helps students explore topics from geometry and mathematical ideas in algebra, trigonometry, calculus, and other areas. provides teachers an environment with which to present mathematical concepts, model classroom questions, and encourage student conjecturing. GEAR UP/STAR - Summer Math Institute

  4. Introduction: Geometer's Sketchpad (cont.) help researchers and other mathematics enthusiasts pose “what if?” thought experiments, discover new results, and create high-quality mathematical illustrations for use in activities and assignments, reports and publications. Can be used to construct interactive mathematical models ranging from basic investigations about shape and number to advanced, animated illustrations of complex systems. GEAR UP/STAR - Summer Math Institute

  5. Introduction: Geometer's Sketchpad (cont.) GSP allows students to create and manipulate figures that enables them to - Visualize and produce many examples - examine properties of figures - look for patterns, and - make conjectures. During the use of GSP Students experience the joy of discovery, the confidence that comes with success, the framework for a pattern of independent learning. GEAR UP/STAR - Summer Math Institute

  6. Introduction: Geometer's Sketchpad (cont.) • Sketchpad’s Menu Structure • Document • Tools • Objects • Object Relationships: parents and children • Path Objects • Points • Segments • Rays • Lines GEAR UP/STAR - Summer Math Institute

  7. Introduction: Geometer's Sketchpad (cont.) • Sketchpad’s Menu Structure (cont.) • Circles and Arcs • Polygons and other Interiors • Measurements, Calculations, and Parameters • Coordinates Systems and Axes • Functions and Function Plots GEAR UP/STAR - Summer Math Institute

  8. Geometer's Sketchpad GEAR UP/STAR - Summer Math Institute

  9. Introduction: Basic Skills in GSP • Constructing and Naming of • Points, lines, segments, rays • Angles • Circles • Midpoints • Perpendicular lines • parallel lines Basic Skills in GSP GEAR UP/STAR - Summer Math Institute

  10. Measuring- length of a segment- size of an angle- radius of a circle- circumference and area of a circle- dimensions, areas of other geometrical shapes like ….Trapezoid, kite, parallelogram, rhombus, rectangle, square Introduction: Basic Skills in GSP GEAR UP/STAR - Summer Math Institute

  11. Exploring Angles Formed by Parallel Lines and Transversal Activity 1: Exploring Angles Formed by Parallel Lines and Transversal GEAR UP/STAR - Summer Math Institute

  12. Activity 2: More on Angles- Conjectures based on Exploration More on Angles-Conjectures Based on Exploration GEAR UP/STAR - Summer Math Institute

  13. Activity 3: Exploring Types of Triangles Exploring Types of Triangles GEAR UP/STAR - Summer Math Institute

  14. Activity 4: Pythagorean Theorem- Visual Demonstration Pythagorean Theorem-Visual Demonstration GEAR UP/STAR - Summer Math Institute

  15. Activity 5: Exploring Quadrilaterals Exploring Quadrilaterals GEAR UP/STAR - Summer Math Institute

  16. Activity 6: Transformation Transformations on the Coordinate Grid GEAR UP/STAR - Summer Math Institute

  17. Activity 7: Constructions & Animation • Constructing Tessellations by Translations • Dueling Pinwheels GEAR UP/STAR - Summer Math Institute

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