Geometry Topic.

Uploaded on:
Depict spatial connections utilizing direction geometry and other representational frameworks ... Geometry For Elementary School Teachers is an one-quarter course for science ...
Slide 1

Geometry Theme MAA PREP WORKSHOP Laurie Burton and Maria Fung Western Oregon University July 8 th 2003

Slide 2

Overview of WOU Geometry Courses Foundations Geometry for Elementary Teachers Geometry for Middle School Teachers Geometry Activities Explorations on symmetry and reflections Visual way to deal with the Pythagorean Theorem Geometer\'s Sketchpad Lab Explorations Assessment

Slide 3

Geometry NCTM Standards Highlights Analyze properties and qualities of two-and three-dimensional geometric shapes Describe spatial connections utilizing coordinate geometry and other representational frameworks Apply changes and utilize symmetry to examine numerical circumstances

Slide 4

Geometry for K-8 Teachers Foundations of Elementary Mathematics arrangement incorporates a one-quarter course on geometry Main points secured: Geometric figures Geometric Figures; Plane Figures Polygons and Tessellation; Space Figures; Symmetric Figures Measurement Systems of Measurement Area and Perimeter; Volume and Surface Area Motions in geometry Congruence and Constructions Congruence Mappings; Similarity Mappings Introduction to the Geometer\'s Sketchpad Package

Slide 5

Geometry for K-8 Teachers Geometry For Elementary School Teachers is a one-quarter course for science center understudies Main subjects secured: Geometric Shapes and Measurement Polygons & Circles Perimeter & Circumference, Area, Angles The Pythagorean Theorem Polyhedra Surface Area & Volume Triangle Congruence & Similarity Basic Geometric Constructions

Slide 6

Geometry for K-8 Teachers Geometry for Middle School Teachers is a blended development undergrad and graduate course Topics secured: Reflections and Symmetry Tessellations Isometries and their Relations Perimeter, Area and the Pythagorean Theorem Similarity Measurement and Similarity Mappings

Slide 7

Comments on Mirrors and Symmetry Activity Introductory movement for the Geometry for Middle School Teachers Course Students use experimentation at first Hands-on experience regularly prompting casual confirmations Excellent applied comprehension of reflections and lines of symmetry Good survey of quadrilaterals and their properties

Slide 8

More Comments on Mirrors and Symmetry Activity This action urges understudies to "ponder reflections" Students have a ton of fun investigating and enhancing their geometric instinct Increases familiarity with geometric ideas (e.g. parallel, point) Follow up: build and investigate insignificant "message" for getting a particular shape

Slide 9

Examples of Follow-up Activities Construct a negligible message for seeing a rhombus that is not a square. Study the accompanying message: Make a right edge. Divide the right edge. Place the mirror opposite to the bisector in Step 2 (with the reflecting side confronting the vertex of the right point) Be certain that the mirror cuts off equivalent lengths on the sides of the right edge.

Slide 10

Paper Folding Activity Another hands-on strategy for finding lines of symmetry for different quadrilaterals Opportunity for sharing distinctive methods for delivering required shapes

Slide 11

Pythagorean Theorem Activity Find the regions of the squares by utilizing visual strategies with the separation between two specks as a unit (and not by measuring the sides and applying the recipe for the zone of a square) Address the instance of a coldhearted triangle for section 2 of this action Show the development for the verification to understudies

Slide 12

Design Your Own Work on making a movement or lesson arranges based on the point of tessellations Use the gave materials in your Resource Notebooks Make a blurb or a presentation of your work to be imparted to the gathering

Slide 13

Activities with the Geometer\'s Sketchpad Work on the accompanying lab exercises: Glide Reflections (first part to begin) One tessellation action to begin (and complete every one of them, time allowing) A Tumbling Block Design Tessellations Using Only Translations Tessellations That Use Rotations Dissection Demonstration of the Pythagorean Theorem The Golden Rectangle One action of More Ideas for Transformation Projects

Slide 14

Geometry Assessment I Foundational Geometry: Concept Pages Conceptually Centered Exams Problems of the Week (Explorations of Geometric Relationships) Article Reports Textbook Homework

Slide 15

Geometry Assessment II Advanced Geometry: Geometry Lab Reports ( √-, √, √+) Readings Reports and Reflections Final Projects Geo-Jeopardy Final Vocabulary Lists Quizzes & Exams Extensive Homework

Slide 16

Assessment Continued Example of an evaluating rubric from Geometry for Middle School Teachers Course: Interpretation (0-2 pts.) Execution (0-2 pts.) Completeness (0-2 pts.) Reflection (0-2 pts.) 0: crude, fragmented, off base, or missing 1: satisfactory 2: altogether created, incredible

View more...