Difference between revisions of "Marking centroid of a triangle"

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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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===Objectives===
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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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Introduce medians of a triangle
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=== Objectives ===
 
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Content objectives  - what content areas
 
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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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30 minutes.
  
 
=== Prerequisites/Instructions, prior preparations, if any ===
 
=== Prerequisites/Instructions, prior preparations, if any ===
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Triangle basics should have been covered.
  
 
===Materials/ Resources needed===
 
===Materials/ Resources needed===
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Wax paper, pencil and ruler.
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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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#On the piece of wax paper, use your pencil and ruler to draw a triangle.
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#Draw different types of triangles: Acute, Obtuse, or Right angled triangle.
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What kinds of questions you can ask for that activity
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#Choose 1 side of your triangle.  Fold your paper so that the endpoints of the side you’ve chosen are overlapping.  Make a very small crease through the side of the triangle.  This is the midpoint of the side.
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#Fold a crease in the triangle from this midpoint to the opposite vertex. You have now constructed the MEDIAN of one side of the triangle.
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What are the student follow-up activities/ questions you can give?
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#Use the same process to construct a median for the other two sides of the triangle.
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#What do you notice about their intersection point? The intersection point is called the centroid.
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Categories: (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
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*Developmental Questions:
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#Where does the median lie in case of acute, obtuse and right triangles ?
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Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
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#Identify the centroid.
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#Into how many parts does the centriod divide the median ?
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#Compare your triangle and results to your partners.
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#Is centriod exactly in the middle of the median ?
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*Evaluation:
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#Where exactly does the centroid lie on each median ?
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*Question Corner
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#What is the position of the centroid in different types of triangles?

Revision as of 05:43, 29 April 2019

Objectives

Introduce medians of a triangle

Estimated Time

30 minutes.

Prerequisites/Instructions, prior preparations, if any

Triangle basics should have been covered.

Materials/ Resources needed

Wax paper, pencil and ruler.

Process (How to do the activity)

  1. On the piece of wax paper, use your pencil and ruler to draw a triangle.
  2. Draw different types of triangles: Acute, Obtuse, or Right angled triangle.
  3. Choose 1 side of your triangle. Fold your paper so that the endpoints of the side you’ve chosen are overlapping. Make a very small crease through the side of the triangle. This is the midpoint of the side.
  4. Fold a crease in the triangle from this midpoint to the opposite vertex. You have now constructed the MEDIAN of one side of the triangle.
  5. Use the same process to construct a median for the other two sides of the triangle.
  6. What do you notice about their intersection point? The intersection point is called the centroid.
  • Developmental Questions:
  1. Where does the median lie in case of acute, obtuse and right triangles ?
  2. Identify the centroid.
  3. Into how many parts does the centriod divide the median ?
  4. Compare your triangle and results to your partners.
  5. Is centriod exactly in the middle of the median ?
  • Evaluation:
  1. Where exactly does the centroid lie on each median ?
  • Question Corner
  1. What is the position of the centroid in different types of triangles?
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