Circles

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= Concept Map = Flash

= Textbook =

ncert books
Class 9 Mathematics contain simple description and theorems on circles. 9 Mathematics contain higher level description and theorems on circles.

=Additional Information=

Useful websites

 * 1) maths is fun A GOOD WEBSITE ON DEFINITIONS FOR CIRCLES
 * 2) COOL MATH GIVES CLEAR AND EASY DEFINITIONS
 * 3) OPEN REFERENCE CONTAINS FEW SIMULATIONS
 * 4) WIKIPEDIA CONTAINS EXPLANATIONS FOR CIRCLES
 * 5) KHAN ACADEMY CONTAIN GOOD VIDEOS
 * 6) ARVIND GUPTA TOYS CONTAIN VERY GOOD BOOKS ON MATHEMATICS AND SCIENCE
 * 7) nrich.maths.org Contain very good description of Pie

Reference Books

 * 1) School Geometry By Hall and Stevens. Part3 pageno 143. Contains basic definitions and proofs given by Euclid.

= Teaching Outlines = Introduction

Welcome to the world of fascinating polygons, the CIRCLES. The following is a background literature for teachers. It summarises the concepts to be known for a teacher to teach this topic more effectively. This literature is meant to be a ready reference for the teacher to develop the concepts, inculcate necessary skills and impart knowledge in Geometry - Circles from Class 6 to Class 10.

Starting from the primary class, the students are exposed to circles with examples to the class 12th analytic treatment of the same. The pages here are designed to acquaint the teacher with basic definitions of circles from the 9th class to 10 standard.

Learning objectives
Definition:A circle is a collection of all points in a plane, which are equidistant from a fixed point.

`http://lasp.colorado.edu/~bagenal/MATH/images/math3fig/circle.gif`

Activity No #

 * Estimated Time
 * Materials/ Resources needed
 * Prerequisites/Instructions, if any
 * Multimedia resources
 * Website interactives/ links/ / Geogebra Applets
 * Process/ Developmental Questions
 * Evaluation
 * Question Corner

Activity No #
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