Difference between revisions of "Sum of the interior angles of a quadrilateral"

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===Name of the activity===
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The sum of the measures of the angles in any quadrilateral is 4 right angles.
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Brief blurb describing what the activity. If this has been borrowed from some external web site (for example, a non OER or OER site which had this idea and based on which the activity was developed)
 
  
 
=== Objectives ===
 
=== Objectives ===
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Content objectives  - what content areas
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To establish that sum of interior angles of any quadrilateral is 360°
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Skill objectives - what specific skills
 
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Classroom objectives - to demo peer learning, to make a classroom resource, etc -
 
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All these kinds of objectives need not be there for every activity.  And no need to list them as different headings.  This is only for our reference when we are developing activities.
 
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===Estimated Time===
 
===Estimated Time===
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40 minutes
  
 
=== Prerequisites/Instructions, prior preparations, if any ===
 
=== Prerequisites/Instructions, prior preparations, if any ===
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Prior knowledge of point, lines, angles, intersecting lines, vertically opposite angles, properties of triangle
  
 
===Materials/ Resources needed===
 
===Materials/ Resources needed===
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===Process (How to do the activity)===
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* Digital: Computer, geogebra application, projector.
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How to do the different steps of the activity?
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* Non digital : Worksheet and pencil
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* Geogebra files : ‘[https://ggbm.at/dseaa3pq Sum of the interior angles of a quadrilateral.ggb]’
  
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What kinds of questions you can ask for that activity
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{{Geogebra|dseaa3pq}}
  
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What are the student follow-up activities/ questions you can give?
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===Process (How to do the activity)===
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* In the geogebra sketch for the quadrilateral measure the sides and angles at the vertices
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* Calculate the sum of these angles of the quadrilateral? Note your observations
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{| class="wikitable"
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|Quadrilateral
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|Side1
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|Side2
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|Side3
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|Side4
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|Angle1
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|Angle2
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|Angle3
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|Angle4
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|Angle1+Angle 2+ Angle3 + Angle 4
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|Whatdo you observe about their sum
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|Q1
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* Draw any one diagonal. What do you notice? What is the quadrilateral divided into? How many triangles are formed?
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* What is the measure of the sum of angles in each quadrilateral? So what is the measure of all the angles of the quadrilateral?
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* Make different quadrilaterals. Divide it into two triangles, measure the angles of the two triangles, check their sum.
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* Tabulate the angles of the two triangles 
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{| class="wikitable"
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|Observation
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| colspan="4" |Triangle1
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| colspan="4" |Triangle2
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|Sum of angles of two triangle
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|Angle 1
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|Angle 2
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Angle 3
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|Sum of angles
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|Angle 1
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|Angle 2
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Angle 3
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|Sum of angles
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|Q1
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Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
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'''Evaluation at the end of the activity'''
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* Is the sum of all angles in any quadrilateral 360<sup>o</sup>.
  
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Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
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[[Category:Quadrilaterals]]

Latest revision as of 07:33, 7 November 2019

The sum of the measures of the angles in any quadrilateral is 4 right angles.

Objectives

To establish that sum of interior angles of any quadrilateral is 360°

Estimated Time

40 minutes

Prerequisites/Instructions, prior preparations, if any

Prior knowledge of point, lines, angles, intersecting lines, vertically opposite angles, properties of triangle

Materials/ Resources needed


Download this geogebra file from this link.


Process (How to do the activity)

  • In the geogebra sketch for the quadrilateral measure the sides and angles at the vertices
  • Calculate the sum of these angles of the quadrilateral? Note your observations
Quadrilateral Side1 Side2 Side3 Side4 Angle1 Angle2 Angle3 Angle4 Angle1+Angle 2+ Angle3 + Angle 4 Whatdo you observe about their sum
Q1
Q2
Q3
  • Draw any one diagonal. What do you notice? What is the quadrilateral divided into? How many triangles are formed?
  • What is the measure of the sum of angles in each quadrilateral? So what is the measure of all the angles of the quadrilateral?
  • Make different quadrilaterals. Divide it into two triangles, measure the angles of the two triangles, check their sum.
  • Tabulate the angles of the two triangles 
Observation Triangle1 Triangle2 Sum of angles of two triangle
Angle 1 Angle 2

Angle 3

Sum of angles Angle 1 Angle 2

Angle 3

Sum of angles
Q1
Q2
Q3

Evaluation at the end of the activity

  • Is the sum of all angles in any quadrilateral 360o.
Retrieved from "https://karnatakaeducation.org.in/KOER/en/index.php?title=Sum_of_the_interior_angles_of_a_quadrilateral&oldid=32522"