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

Latest revision as of 11:12, 31 May 2021

Click to Comment

Objectives

Understand the quadrilateral, square

Understand properties related to square

Estimated Time

40 minutes

Prerequisites/Instructions, prior preparations, if any

The students should have prior knowledge about line segments, angles and bisectors.

Materials/ Resources needed

Digital: Laptop, geogebra file, projector and a pointer.

Geogebra Applets : This geogebra file has been created by ITfC-Edu-Team

Process (How to do the activity)

Download this geogebra file from this link.

Process:

The teacher can use this geogebra file while teaching the properties of a square.
Can move the vertices of the square to depict the properties.

Developmental Questions:

What type of lines is a square made of ?
What is a right angle ?
The lines meet at what angles ?
Compare the two diagnols.
What is the meaning of diagnols bisecting each other ?
What is angle bisection ?
What is the measure of each bisected angle ?
How many triangles do you see in the figure ?
What type of triangles are they ?
Identify the circumcircle and incircle ?

Evaluation:

Can square be considered a rectangle ?
Is square a parallelogram ?
What is the difference between a square and a rhombus ?
Are all squares quadrilaterals ?

Question Corner:

List the properties of a square ?
Can you add some more to the properties list ?

@@ Line 1: / Line 1: @@
-<!-- This portal was created using subst:box portal skeleton  -->
-<!--        BANNER ACROSS TOP OF PAGE        -->
-{| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
-|-
-|style="width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
-[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
-|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
-|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
-[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
-|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
-[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
-|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
-[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
-|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
-[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
-|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
-[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
-|}
-While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
-= Concept Map =
 __FORCETOC__
-<mm>[[square.mm|flash]]</mm>
-= Textbook =
-To add textbook links, please follow these instructions to:
-([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
-=Additional Information=
+[[File:square.jpeg|100px]]
-==Useful websites==
-==Reference Books==
-= Teaching Outlines =
-==Concept #1. Introduction to a square and its charactristics==
-===Learning objectives===
-# A square is a 4-sided regular polygon with all sides equal and all internal angles 90°
-# 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 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 # ===
-{| 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
-===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 # 3. Construction of a square.==
-===Learning objectives===
-===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>
+''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 |}
-*Estimated Time
+===Objectives===
-*Materials/ Resources needed
+Understand the quadrilateral, square
-*Prerequisites/Instructions, if any
-*Multimedia resources
-*Website interactives/ links/ / Geogebra Applets
-*Process/ Developmental Questions
-*Evaluation
-*Question Corner
+Understand properties related to square
+===Estimated Time===
+minutes
-= Hints for difficult problems =
+===Prerequisites/Instructions, prior preparations, if any===
+The students should have prior knowledge about line segments, angles and bisectors.
-= Project Ideas =
+===Materials/ Resources needed===
+Digital: Laptop, geogebra file, projector and a pointer.
-= Math Fun =
+Geogebra Applets : This geogebra file has been created by ITfC-Edu-Team
-'''Usage'''
+===Process (How to do the activity)===
+{{Geogebra|pnmc2ezk}}<span></span><span></span>
+*Process:
+# The teacher can use this geogebra file while teaching the properties of a square.
+# Can move the vertices of the square to depict the properties.
+*Developmental Questions:
+# What type of lines is a square made of ?
+# What is a right angle ?
+# The lines meet at what angles ?
+# Compare the two diagnols.
+# What is the meaning of diagnols bisecting each other ?
+# What is angle bisection ?
+# What is the measure of each bisected angle ?
+# How many triangles do you see in the figure ?
+# What type of triangles are they ?
+# Identify the circumcircle and incircle ?
+*Evaluation:
+# Can square be considered a rectangle ?
+# Is square a parallelogram ?
+# What is the difference between a square and a rhombus ?
+# Are all squares quadrilaterals ?
+*Question Corner:
+# List the properties of a square ?
+# Can you add some more to the properties list ?
-Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
+[[Category:Quadrilaterals]]