Difference between revisions of "Medians and centroid of a triangle"

Latest revision as of 12:34, 5 November 2019

The centroid of a triangle is where the three medians intersect. This activity will show you how to find the centroid and you’ll explore several geometric relationships related to centroid and medians.

Objectives

To introduce medians of a triangle and their point of concurrence.

Estimated Time

30 minutes

Prerequisites/Instructions, prior preparations, if any

Types of triangles, their medians and their constructions should have been covered.

Materials/ Resources needed

Digital : Computer, geogebra application, projector.
Non digital : Worksheet and pencil.
Geogebra files : Concurrency of medians.ggb

Download this geogebra file from this link.

Process (How to do the activity)

The teacher can use this geogebra file to show how the position of centriod is constant in different triangles.

Developmental Questions:

Which type of triangle is this ?
What is a median ?
How do you identify the midpoint of the side ?
Which is the point of concurrency of medians of the triangle ?
Identify the position in different triangles.

Evaluation:

What is the position of centriod in different triangles ?

Question Corner:

Why do you think the centriod always remains in the centre for every type of triangle ?
What does the centriod indicate ?
What are the practical applications of the centriod ?

@@ Line 1: / Line 1: @@
-===Name of the activity===
+The centroid of a triangle is where the three medians intersect. This activity will show you how to find the centroid and you’ll explore several geometric relationships related to centroid and medians.
-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 ===
-Content objectives  - what content areas
+To introduce medians of 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===
+minutes
 === Prerequisites/Instructions, prior preparations, if any ===
+Types of triangles, their medians and their constructions should have been covered.
 ===Materials/ Resources needed===
+* Digital : Computer, geogebra application, projector.
+* Non digital : Worksheet and pencil.
+* Geogebra files : [https://ggbm.at/yz2rtbth Concurrency of medians.ggb]
+{{Geogebra|yz2rtbth}}
 ===Process (How to do the activity)===
-How to do the different steps of the activity?
+#The teacher can use this geogebra file to show how the position of centriod is constant in different triangles.
+*Developmental Questions:
-What kinds of questions you can ask for that activity
+#Which type of triangle is this ?
+#What is a median ?
-What are the student follow-up activities/ questions you can give?
+#How do you identify the midpoint of the side ?
+#Which is the point of concurrency of medians of the triangle ?
-Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
+#Identify the position in different triangles.
+*Evaluation:
+#What is the position of centriod in different triangles ?
+*Question Corner:
+#Why do you think the centriod always remains in the centre for every type of triangle ?
+#What does the centriod indicate ?
+#What are the practical applications of the centriod ?
-Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
+[[Category:Triangles]]