Difference between revisions of "Is circle a Polygon ? - A debate"

Latest revision as of 10:09, 4 November 2019

A polygon when increased in number of sides tends to form a circle is shown with this interesting activity.

Objectives

To understand how a circle is derived

Estimated Time

40 minutes

Prerequisites/Instructions, prior preparations, if any

Ensure that lesson on polygons is done.

Materials/ Resources needed

Digital: Laptop, geogebra file, projector and a pointer.

Geogebra file: Regular polygon tends towards a circle as sides increase.ggb

This geogebra file has been created by maths STF teachers.

Download this geogebra file from this link.

Process (How to do the activity)

How many sides does this figure have ?
Name the figure formed.
What is happening to the length of the sides as the number of sides is increased ?
What shape is this ?
So, can circle be considered a polygon ? Justify

Evaluation:

Are the students able to comprehend that the number of sides is getting infinite as the shape resembles a circle ?
Are the students able to appreciate the application of polygon anology to circles.

Question Corner;

Debate between two groups with these two perspectives.

Circle seems to have derived from polygons . Circle can be considered a polygon.

Vs

A polygon is defined by a certain number of sides having non zero length. Then how can circle be a polygon ? (hint: all radii in a circle should be equal ???)

@@ Line 1: / Line 1: @@
-===Name of the activity===
+A polygon when increased in number of sides tends to form a circle is shown with this interesting 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 idea and based on which the activity was developed)
-=== Objectives ===
+===Objectives===
-Content objectives  - what content areas
+To understand how a circle is derived
-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 ===
+Ensure that lesson on polygons is done.
 ===Materials/ Resources needed===
-===Process (How to do the activity)===
+Digital: Laptop, geogebra file, projector and a pointer.
-How to do the different steps of the activity?
+Geogebra file: [https://ggbm.at/evend9wg Regular polygon tends towards a circle as sides increase.ggb]
-What kinds of questions you can ask for that activity
+This geogebra file has been created by maths STF teachers.
-What are the student follow-up activities/ questions you can give?
+{{Geogebra|evend9wg}}
-Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
+===Process (How to do the activity)===
+#How many sides does this figure have ?
+#Name the figure formed.
+#What is happening to the length of the sides as the number of sides is increased ?
+#What shape is this ?
+#So, can circle be considered a polygon ? Justify
+*Evaluation:
+#Are the students able to comprehend that the number of sides is getting infinite as the shape resembles a circle ?
+#Are the students able to appreciate the application of polygon anology to circles.
+*Question Corner;
+Debate between two groups with these two perspectives.
+#Circle seems to have derived from polygons . Circle can be considered a polygon.
+Vs
+#A polygon is defined by a certain number of sides having non zero length. Then how can circle be   a polygon ? (hint: all radii in a circle should be equal ???)
-Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
+[[Category:Circles]]