Difference between revisions of "Angular bisectors and incenter of a triangle"

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===Name of the activity===
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The intersecting point of three lines which are the bisectors of three angles of a triangle that is the incenter and it's properties are examined.
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 ===
Content objectives  - what content areas
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Introduce angular bisectors in a triangle and their point of concurrence.
 
 
Skill objectives - what specific skills
 
 
 
Classroom objectives - to demo peer learning, to make a classroom resource, etc -
 
 
 
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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Angles, angle bisectors , concurrent lines and triangles should have been covered.
  
 
===Materials/ Resources needed===
 
===Materials/ Resources needed===
===Process (How to do the activity)===
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Digital resources: Laptop, projector and a pointer.
How to do the different steps of the activity?
 
  
What kinds of questions you can ask for that activity
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Geogebra file: [https://ggbm.at/vgcudkjp Concurrency of angular bisectors.ggb]
  
What are the student follow-up activities/ questions you can give?
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{{Geogebra|vgcudkjp}}
  
Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
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===Process (How to do the activity)===
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#The teacher can use this geogebra file and ask the questions listed below.
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*Developmental Questions;
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#What type of triangle is this ? Why ?
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#Identify the three angles.
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#What is an angle bisector ?
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#Identify the point of concurrence of angle bisectors ?
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#This point, called incentre of the triangle does its position change with the type of triangle ?
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#Identify the circle. What is its radius ? What can this radius be called ?
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#What is this circle called ?
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*Evaluation:
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#What is incentre, inradius and incircle ?
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*Question Corner:
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#What do you think would be the practical applications of the incentre and incircle ?
  
Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
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[[Category:Triangles]]

Latest revision as of 07:48, 29 October 2019

The intersecting point of three lines which are the bisectors of three angles of a triangle that is the incenter and it's properties are examined.

Objectives

Introduce angular bisectors in a triangle and their point of concurrence.

Estimated Time

40 minutes.

Prerequisites/Instructions, prior preparations, if any

Angles, angle bisectors , concurrent lines and triangles should have been covered.

Materials/ Resources needed

Digital resources: Laptop, projector and a pointer.

Geogebra file: Concurrency of angular bisectors.ggb


Download this geogebra file from this link.


Process (How to do the activity)

  1. The teacher can use this geogebra file and ask the questions listed below.
  • Developmental Questions;
  1. What type of triangle is this ? Why ?
  2. Identify the three angles.
  3. What is an angle bisector ?
  4. Identify the point of concurrence of angle bisectors ?
  5. This point, called incentre of the triangle does its position change with the type of triangle ?
  6. Identify the circle. What is its radius ? What can this radius be called ?
  7. What is this circle called ?
  • Evaluation:
  1. What is incentre, inradius and incircle ?
  • Question Corner:
  1. What do you think would be the practical applications of the incentre and incircle ?