Introduction to a square and its properties

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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.

Activity No #

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• 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

• 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

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 #

Click to Comment

• Estimated Time:

20 minutes.

• 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 #

Click to Comment

• 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.

Activity No #

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• 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.

• Multimedia resources
• Website interactives/ links/ / Geogebra Applets:

This activity has been taken from the website :http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Mylod/Math7200/Project/Square.html

• Process:

• Developmental Questions:
• Evaluation
• Question Corner

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