Difference between revisions of "Introduction to a square and its properties"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
Line 35: Line 35:
 
==Concept #1. Introduction to a square and its charactristics==
 
==Concept #1. Introduction to a square and its charactristics==
 
===Learning objectives===
 
===Learning objectives===
# A square is a regular quadrilateral.
+
# A square is a 4-sided regular polygon with all sides equal and all internal angles 90°
# It has 4 equal sides and all its 4 angles are right angles.
+
# A square is the only regular quadrilateral.
 
# It can also be considered as a special rectangle in which two of its adjacent sides are equal.
 
# It can also be considered as a special rectangle in which two of its adjacent sides are equal.
# A convex quadrilateral is a square if and only if it is any one of the following:
+
# It encompasses the following properties:
*a rectangle with two adjacent equal sides
+
* All four sides are congruent
*a quadrilateral with four equal sides and four right angles
+
* Opposite sides are parallel
*a parallelogram with one right angle and two adjacent equal sides
+
* The diagonals bisect each other at right angles
*a rhombus with a right angle
+
* The diagonals are congruent
*a rhombus with all angles equal
 
*a quadrilateral where the diagonals are equal and are the perpendicular bisectors of each other, i.e. a rhombus with equal diagonals.
 
===Notes for teachers===
 
===Activity No # ===
 
{| style="height:10px; float:right; align:center;"
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
*Estimated Time :40 minutes.
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Evaluation
 
*Question Corner
 
 
 
===Activity No # ===
 
{| style="height:10px; float:right; align:center;"
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
*Estimated Time
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Evaluation
 
*Question Corner
 
  
 
==Concept #2. Measurements in a square.==
 
==Concept #2. Measurements in a square.==

Revision as of 05:46, 17 December 2013

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

While creating a resource page, please click here for a resource creation checklist.

Concept Map

Error: Mind Map file square.mm not found


Textbook

To add textbook links, please follow these instructions to: (Click to create the subpage)

Additional Information

Useful websites

Reference Books

Teaching Outlines

Concept #1. Introduction to a square and its charactristics

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

Concept #2. Measurements in a square.

Learning objectives

Notes for teachers

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 #

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

Concept # 3. Construction of a square.

Learning objectives

Notes for teachers

Activity No #

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


Hints for difficult problems

Project Ideas

Math Fun

Usage

Create a new page and type {{subst:Math-Content}} to use this template