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

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=== 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<sup>o</sup>
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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.
 
  
 
===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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* Digital: Computer, geogebra application, projector.
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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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===Process (How to do the activity)===
 
===Process (How to do the activity)===
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How to do the different steps of 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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What kinds of questions you can ask for that activity
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* {| class="wikitable" |Quadrilateral |Side1 |Side2 |Side3 |Side4 |Angle1 |Angle2 |Angle3 |Angle4 |Angle1+Angle 2+ Angle3 + Angle 4 |Whatdo you observe about their sum |- |Q1 | | | | | | | | | | |- |Q2 | | | | | | | | | | |- |Q3 | | | | | | | | | | |}
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What are the student follow-up activities/ questions you can give?
 
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Categories: (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
 
  
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Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
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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  {| class="wikitable" |Observation | colspan="4" |Triangle1 | colspan="4" |Triangle2 |Sum of angles of two triangle  Triangle1 + Triangle2 |- | |Angle 1 |Angle 2 | Angle 3 |Sum of angles |Angle 1 |Angle 2 |  Angle 3 |Sum of angles | |- |Q1 | | | | | | | | | |- |Q2 | | | | | | | | | |- |Q3 | | | | | | | | | |}

Revision as of 06:08, 16 April 2019

Objectives

  1. To establish that sum of interior angles of any quadrilateral is 360o

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

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
  • {| class="wikitable" |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  {| class="wikitable" |Observation | colspan="4" |Triangle1 | colspan="4" |Triangle2 |Sum of angles of two triangle Triangle1 + Triangle2 |- | |Angle 1 |Angle 2 | Angle 3 |Sum of angles |Angle 1 |Angle 2 | Angle 3 |Sum of angles | |- |Q1 | | | | | | | | | |- |Q2 | | | | | | | | | |- |Q3 | | | | | | | | | |}
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