The Geometers Sketchpad Dr Mufid Abudiab Mrs Marcia
The Geometer’s Sketchpad Dr. Mufid Abudiab Mrs. Marcia Venzon Mrs. Fatma Abudiab 1/20/2022 GEAR UP/STAR - Summer Math Institute 1
Outline n n Introduction - Terms and Definitions - Geometer's Sketchpad (GSP) - Basic Skills in GSP Activities on – – – 1/20/2022 Angles Formed by Parallel Lines and Transversal Types of Triangles Quadrilaterals Transformation Animation GEAR UP/STAR - Summer Math Institute 2
Introduction: 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. • 1/20/2022 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. 1/20/2022 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. 1/20/2022 GEAR UP/STAR - Summer Math Institute 5
Introduction: Geometer's Sketchpad (cont. ) n Sketchpad’s Menu Structure – Document – Tools – Objects n Object Relationships: parents and children n Path Objects – Points – Segments – Rays – Lines 1/20/2022 GEAR UP/STAR - Summer Math Institute 6
Introduction: Geometer's Sketchpad (cont. ) n Sketchpad’s Menu Structure (cont. ) n Circles and Arcs n Polygons and other Interiors n Measurements, Calculations, and Parameters n Coordinates Systems and Axes n Functions and Function Plots 1/20/2022 GEAR UP/STAR - Summer Math Institute 7
Geometer's Sketchpad 1/20/2022 GEAR UP/STAR - Summer Math Institute 8
Introduction: Basic Skills in GSP n Constructing and Naming of – – – Points, lines, segments, rays Angles Circles Midpoints Perpendicular lines parallel lines Basic Skills in GSP 1/20/2022 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 1/20/2022 GEAR UP/STAR - Summer Math Institute 10
Activity 1: Exploring Angles Formed by Parallel Lines and Transversal 1/20/2022 GEAR UP/STAR - Summer Math Institute 11
Activity 2: More on Angles- Conjectures based on Exploration More on Angles-Conjectures Based on Exploration 1/20/2022 GEAR UP/STAR - Summer Math Institute 12
Activity 3: Exploring Types of Triangles 1/20/2022 GEAR UP/STAR - Summer Math Institute 13
Activity 4: Pythagorean Theorem. Visual Demonstration Pythagorean Theorem-Visual Demonstration 1/20/2022 GEAR UP/STAR - Summer Math Institute 14
Activity 5: Exploring Quadrilaterals 1/20/2022 GEAR UP/STAR - Summer Math Institute 15
Activity 6: Transformations on the Coordinate Grid 1/20/2022 GEAR UP/STAR - Summer Math Institute 16
Activity 7: Constructions & Animation A. 1/20/2022 Constructing Tessellations by Translations B. Dueling Pinwheels GEAR UP/STAR - Summer Math Institute 17
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