Introduction to a square and its properties

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= Concept Map =

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=Additional Information=

Reference Books
= Teaching Outlines =

Learning objectives

 * 1) A square is a 4-sided regular polygon with all sides equal and all internal angles 90°
 * 2) A square is the only regular quadrilateral.
 * 3) It can also be considered as a special rectangle in which two of its adjacent sides are equal.
 * 4) It encompasses the following properties:
 * All four sides are congruent
 * Opposite sides are parallel
 * The diagonals bisect each other at right angles
 * The diagonals are congruent.

Activity No #

 * Estimated Time:15 minutes.
 * Materials/ Resources needed: Geogebra file, laptop, projector and a pointer.
 * Prerequisites/Instructions, if any:
 * 1) The students should what are plane figures.
 * Multimedia resources: Laptop.
 * Website interactives/ links/ / Geogebra Applets :This geogebra is from the website : http://www.geogebratube.org/material/show/id/2474

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 * Process:
 * 1) The teacher can project the geogebra file, move the red dot and ask the students if it still is a square.
 * 2) Let them reason out for the answers.
 * Developmental Questions:
 * 1) what figures do you see ?
 * 2) On moving the red dot, what figure is it now ?
 * 3) Is it still a square ?
 * 4) Why so you think so ?
 * Evaluation:
 * 1) What are the properties of a square ?
 * Question corner:
 * 1) Is rectangle a square ?
 * 2) Is parallelogram a square ?
 * 3) Are all squares parallelograms ?
 * 4) Can a square be considered as a type of kite ?
 * 5) Differentiate a square and a rhombus.

Learning objectives

 * 1) The students learn that the four sides of a square are equal.
 * 2) They understand that the adjacent sides are at right angles with each other.
 * 3) The area of a square is side x side sq units.
 * 4) The perimeter of a square is the length of distance around its boumdary which is 4 times its side.

Activity No #
20 minutes. <ggb_applet width="1280" height="600" version="4.0" 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" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
 * Estimated Time:
 * Materials/ Resources needed:
 * 1) Laptop, geogebra file, projector and a pointer.
 * Prerequisites/Instructions, if any
 * 1) The students should have prior knowledge of lines and measurements.
 * Multimedia resources: Laptop
 * Website interactives/ links/ / Geogebra Applets :
 * Process:
 * 1) The teacher can project the geogebra file and explain about the formula for area and perimeter of a square.
 * Developmental Questions:
 * 1) Identify the shape ?
 * 2) What is the measure of each small square ?
 * 3) What is the area of each small square ?
 * 4) What is the area of the bigger square ?
 * 5) What is the perimeter of the small square ? and larger square ?
 * Evaluation:
 * 1) What do you understand by the terms area and perimeter ?
 * Question Corner:
 * 1) How do you find the area and perimeter of an irregular shape ?

Activity No #

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

Learning objectives

 * 1) Construction of a perfect square.
 * 2) Use of equal radius analogy to get equal sides of a square.
 * 3) use of perpendicular lines to draw sides of a square.

Activity No # 1. Constructing a square by drawing circle.
This activity has been taken from the website :http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Mylod/Math7200/Project/Square.html
 * Estimated Time :40 minutes
 * Materials/ Resources needed : White paper, compass, pencil and scale.
 * Prerequisites/Instructions, if any:
 * 1) The students should know a square and its properties.
 * 2) They should know a circle and that all its radii are equal in length.
 * 3) They should have the skill of drawing a circle.
 * 4) They should know to draw perpendicular lines.
 * Multimedia resources
 * Website interactives/ links/ / Geogebra Applets:
 * Process:
 * 1) To construct a square of a given length, draw a line segment AB of given length.
 * 2) Draw perpendicular to the line AB at A.
 * 3) Taking AB as radius draw a circle with A as centre.
 * 4) The circle intersects the perpendicular at a point. Name the intersecting point as C.
 * 5) Similarly draw perpendiculars to AC at C. You get third side of the square.
 * 6) To get the fourth side of the square construct a perpendicular to AB at B.
 * 7) Name the two intersecting perpendiculars as D.
 * 8) ABCD would be the required square.
 * Developmental Questions:
 * 1) What is the measure for side of the square ?
 * 2) What is a perpendicular line ?
 * 3) Why are we constructing perpendicular line for constructing a square ?
 * 4) Why is the intersecting point of circle with square considered as a vertex of square ?
 * 5) How do we determine the fourth vertex of the square ?
 * Evaluation:
 * 1) What are perpendicular lines ?
 * 2) Why is a circle being drawn ? Which purpose would it solve ?
 * Question Corner
 * 1) Can a square be constructed without using a compass ?

= Hints for difficult problems =

= Project Ideas =

= Math Fun =

Usage

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