Difference between revisions of "Introduction to a square and its properties"
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# It has 4 equal sides and all its 4 angles are right angles. | # It has 4 equal sides and all its 4 angles are right angles. | ||
# 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: | ||
| + | *a rectangle with two adjacent equal sides | ||
| + | *a quadrilateral with four equal sides and four right angles | ||
| + | *a parallelogram with one right angle and two adjacent equal sides | ||
| + | *a rhombus with a right angle | ||
| + | *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=== | ===Notes for teachers=== | ||
===Activity No # === | ===Activity No # === | ||
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> | ''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div> | ||
|} | |} | ||
| − | *Estimated Time | + | *Estimated Time :40 minutes. |
*Materials/ Resources needed | *Materials/ Resources needed | ||
*Prerequisites/Instructions, if any | *Prerequisites/Instructions, if any | ||
Revision as of 05:38, 17 December 2013
| Philosophy of Mathematics |
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Teaching Outlines
Concept #1. Introduction to a square and its charactristics
Learning objectives
- A square is a regular quadrilateral.
- It has 4 equal sides and all its 4 angles are right angles.
- 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:
- a rectangle with two adjacent equal sides
- a quadrilateral with four equal sides and four right angles
- a parallelogram with one right angle and two adjacent equal sides
- a rhombus with a right angle
- 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 #
- 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 #
- 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.
Learning objectives
Notes for teachers
Activity No #
- Estimated Time
- Materials/ Resources needed
- Prerequisites/Instructions, if any
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- 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
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