Introduction to a square and its properties

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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.

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.

  • 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.

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


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