Difference between revisions of "Angle sum property of a quadrilateral"
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− | + | Showing the sum of angles of a quadrilaterals by placing the angles of the quadrilateral adjacent to each other with a hand on activity. | |
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− | === Objectives === | + | === Objectives=== |
− | + | To understand sum of angles of a quadrilateral is 360° | |
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===Estimated Time=== | ===Estimated Time=== | ||
+ | 40 minutes. | ||
=== Prerequisites/Instructions, prior preparations, if any === | === Prerequisites/Instructions, prior preparations, if any === | ||
+ | #The students should have the knowledge of constructing quadrilaterals. | ||
+ | #They should have the skill of drawing and measuring angles. | ||
===Materials/ Resources needed=== | ===Materials/ Resources needed=== | ||
− | + | colour papers, scale , compass, pencil and scissors. | |
− | |||
− | + | This activity has been taken from the website :http://mathematicsvillage.blogspot.in/search/label/Activity | |
− | What | + | [[File:Quadrilateral 1.JPG|200px|link=http://karnatakaeducation.org.in/KOER/en/index.php/File:Quadrilateral_1.JPG]] [[File:qua 2.JPG|200px|link=http://karnatakaeducation.org.in/KOER/en/index.php/File:Qua_2.JPG]] [[File:qua 3.JPG|200px|link=http://karnatakaeducation.org.in/KOER/en/index.php/File:Qua_3.JPG]] [[File:qua 4.JPG|200px|link=http://karnatakaeducation.org.in/KOER/en/index.php/File:Qua_4.JPG]] |
− | + | ===Process (How to do the activity)=== | |
− | + | #Draw a Quadrilateral ABCD on colour chart Sheet . | |
+ | #Cut such four Quadrilaterals on four different sheets. | ||
+ | #Mark <A as <1 , <B as <2 , <C as <3 and <D as <4 on each quadrilateral as shown in fig . | ||
+ | #Arrange all four angles of quadrilateral one from each colour at one point. | ||
+ | #What you observe ? | ||
+ | #It forms a complete angle i.e 360 degrees. | ||
+ | #This shows that sum of all angles of quadrilateral is 360 degrees. | ||
+ | *Developmental Questions: | ||
+ | #What is a quadrilateral ? | ||
+ | #How many angles does a quadrilateral have ? | ||
+ | #What is the sum of 4 angles of the quadrilateral according to your findings. | ||
+ | *Evaluation: | ||
+ | #What would be the sum of opposite angles of a quadrilateral ? | ||
+ | *Question Corner: | ||
+ | #What can you say about the four angles in a regular quadrilateral ? Give an example for regular quadrilateral. | ||
+ | #Try proving this property in case of concave quadrilaterals as well. | ||
− | + | [[Category:Quadrilaterals]] |
Latest revision as of 07:29, 29 October 2019
Showing the sum of angles of a quadrilaterals by placing the angles of the quadrilateral adjacent to each other with a hand on activity.
Objectives
To understand sum of angles of a quadrilateral is 360°
Estimated Time
40 minutes.
Prerequisites/Instructions, prior preparations, if any
- The students should have the knowledge of constructing quadrilaterals.
- They should have the skill of drawing and measuring angles.
Materials/ Resources needed
colour papers, scale , compass, pencil and scissors.
This activity has been taken from the website :http://mathematicsvillage.blogspot.in/search/label/Activity
Process (How to do the activity)
- Draw a Quadrilateral ABCD on colour chart Sheet .
- Cut such four Quadrilaterals on four different sheets.
- Mark <A as <1 , <B as <2 , <C as <3 and <D as <4 on each quadrilateral as shown in fig .
- Arrange all four angles of quadrilateral one from each colour at one point.
- What you observe ?
- It forms a complete angle i.e 360 degrees.
- This shows that sum of all angles of quadrilateral is 360 degrees.
- Developmental Questions:
- What is a quadrilateral ?
- How many angles does a quadrilateral have ?
- What is the sum of 4 angles of the quadrilateral according to your findings.
- Evaluation:
- What would be the sum of opposite angles of a quadrilateral ?
- Question Corner:
- What can you say about the four angles in a regular quadrilateral ? Give an example for regular quadrilateral.
- Try proving this property in case of concave quadrilaterals as well.