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| ==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
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− | *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===
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− | ===Activity No # ===
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− | {| style="height:10px; float:right; align:center;"
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− | |<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;">
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− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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− | |}
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− | *Estimated Time :40 minutes.
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− | *Materials/ Resources needed
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− | *Prerequisites/Instructions, if any
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− | *Multimedia resources
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− | *Website interactives/ links/ / Geogebra Applets
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− | *Process/ Developmental Questions
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− | *Evaluation
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− | *Question Corner
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− | | |
− | ===Activity No # ===
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− | {| style="height:10px; float:right; align:center;"
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− | |<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;">
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− | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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− | |}
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− | *Estimated Time
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− | *Materials/ Resources needed
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− | *Prerequisites/Instructions, if any
| |
− | *Multimedia resources
| |
− | *Website interactives/ links/ / Geogebra Applets
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− | *Process/ Developmental Questions
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− | *Evaluation
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− | *Question Corner
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| ==Concept #2. Measurements in a square.== | | ==Concept #2. Measurements in a square.== |