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The Geometer’s Sketchpad Dr. Mufid Abudiab Mrs. Marcia Venzon Mrs. Fatma Abudiab 7/17/2015 GEAR UP/STAR - Summer Math Institute 1 Outline Introduction - Terms and Definitions - Geometer's Sketchpad (GSP) - Basic Skills in GSP Activities on – – – – – 7/17/2015 Angles Formed by Parallel Lines and Transversal Types of Triangles Quadrilaterals Transformation Animation GEAR UP/STAR - Summer Math Institute 2 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. 7/17/2015 GEAR UP/STAR - Summer Math Institute 3 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. 7/17/2015 GEAR UP/STAR - Summer Math Institute 4 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. 7/17/2015 GEAR UP/STAR - Summer Math Institute 5 Introduction: Geometer's Sketchpad (cont.) Sketchpad’s Menu Structure – Document – Tools – Objects Object Relationships: parents and children Path Objects – Points – Segments – Rays – Lines 7/17/2015 GEAR UP/STAR - Summer Math Institute 6 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 7/17/2015 GEAR UP/STAR - Summer Math Institute 7 Geometer's Sketchpad 7/17/2015 GEAR UP/STAR - Summer Math Institute 8 Introduction: Basic Skills in GSP Constructing and Naming of – – – – – – Points, lines, segments, rays Angles Circles Midpoints Perpendicular lines parallel lines Basic Skills in GSP 7/17/2015 GEAR UP/STAR - Summer Math Institute 9 Introduction: Basic Skills in GSP 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 7/17/2015 GEAR UP/STAR - Summer Math Institute 10 Activity 1: Exploring Angles Formed by Parallel Lines and Transversal Exploring Angles Formed by Parallel Lines and Transversal 7/17/2015 GEAR UP/STAR - Summer Math Institute 11 Activity 2: More on Angles- Conjectures based on Exploration More on Angles-Conjectures Based on Exploration 7/17/2015 GEAR UP/STAR - Summer Math Institute 12 Activity 3: Exploring Types of Triangles Exploring Types of Triangles 7/17/2015 GEAR UP/STAR - Summer Math Institute 13 Activity 4: Pythagorean TheoremVisual Demonstration Pythagorean Theorem-Visual Demonstration 7/17/2015 GEAR UP/STAR - Summer Math Institute 14 Activity 5: Exploring Quadrilaterals Exploring Quadrilaterals 7/17/2015 GEAR UP/STAR - Summer Math Institute 15 Activity 6: Transformation Transformations on the Coordinate Grid 7/17/2015 GEAR UP/STAR - Summer Math Institute 16 Activity 7: Constructions & Animation A. 7/17/2015 Constructing Tessellations by Translations B. Dueling Pinwheels GEAR UP/STAR - Summer Math Institute 17