Difference between revisions of "Construction of a triangle with two angles and included side"

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(Created page with "===Name of the activity=== 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...")
 
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===Name of the activity===
 
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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)
 
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=== Objectives ===
 
=== Objectives ===
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Content objectives  - what content areas
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* To construct a triangle given two sides and an angles
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* To understand the given angle should be included angle when two sides are given
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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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20 minutes
  
 
=== Prerequisites/Instructions, prior preparations, if any ===
 
=== Prerequisites/Instructions, prior preparations, if any ===
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Prior understanding of point, lines and angles, elements of triangle, 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/xrnk5m7y Triangle construction (1side-2angles)]”
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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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* For given 2 angles, if the angles add to 180o, can you construct the triangle?
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* Is it possible to construct a triangle with only 2 given angles. What is the other parameter required for construction.
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What kinds of questions you can ask for that activity
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* If any one side is specified, along with 2 angles how many triangles are possible.
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* If the side given is an included side, how many triangles are possible.
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What are the student follow-up activities/ questions you can give?
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'''Evaluation at the end of the activity'''
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* Why should the given side be included side?
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Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
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* For the given A, A and S are the triangles AAS,  ASA and SAA congruent triangles.
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Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
 

Revision as of 11:14, 15 April 2019

Objectives

  • To construct a triangle given two sides and an angles
  • To understand the given angle should be included angle when two sides are given

Estimated Time

20 minutes

Prerequisites/Instructions, prior preparations, if any

Prior understanding of point, lines and angles, elements of triangle, properties of triangle

Materials/ Resources needed

Process (How to do the activity)

  • For given 2 angles, if the angles add to 180o, can you construct the triangle?
  • Is it possible to construct a triangle with only 2 given angles. What is the other parameter required for construction.
  • If any one side is specified, along with 2 angles how many triangles are possible.
  • If the side given is an included side, how many triangles are possible.

Evaluation at the end of the activity

  • Why should the given side be included side?
  • For the given A, A and S are the triangles AAS,  ASA and SAA congruent triangles.
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