Difference between revisions of "Equal parts in a circle"

Latest revision as of 12:57, 31 October 2019

Dividing a circle in to parts and exploring to divide it into equal parts is show in this activity.

Objectives

To divide a circle into equal parts

Estimated Time

30 minutes

Prerequisites/Instructions, prior preparations, if any

Prior knowledge of point, lines, angles, polygons

Materials/ Resources needed

Digital : Computer, geogebra application, projector.
Non digital : Worksheet and pencil, compass, strings
Geogebra files : Equal parts in a circle .ggb

Download this geogebra file from this link.

Process (How to do the activity)

Plot 4points on the circle; join these points to the center of the circle. Are all the parts equal?
How many parts is the circumference divided into? Identify the part of the circumference that is the largest?
If the segments connecting the points to the center are equal, what is it that makes the part bigger than the others?
Establish concept of arc.
Which of these parts the largest? How can you say it is largest? Which parameter defines the largeness?
What do you notice about the angles made at center by the four parts of the circle. Which part of the circle has the largest angle?
What is each part of the circle called? - Establish sector
When will all the four parts of the circle be equal?
What is the total angle made at the center of the circle?

@@ Line 1: / Line 1: @@
-===Name of the activity===
+Dividing a circle in to parts and exploring to divide it into equal parts is show in this 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 ===
-Content objectives  - what content areas
+To divide a circle into equal parts
-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 ===
+Prior knowledge of point, lines, angles, polygons
 ===Materials/ Resources needed===
+* Digital : Computer, geogebra	application, projector.
+* Non	digital : Worksheet	and pencil, compass, strings
+* Geogebra	files :  [https://ggbm.at/mnjsrqzm Equal	parts in a circle .ggb]
+{{Geogebra|mnjsrqzm}}
 ===Process (How to do the activity)===
-How to do the different steps of the activity?
+* Plot	4points on the circle; join these points to the center of the	circle. Are all the parts equal?
+* How	many parts is the circumference divided into? Identify the part of	the circumference that is the largest?
-What kinds of questions you can ask for that activity
+* If	the segments connecting the points to the center are equal, what is	it that makes the part bigger than the others?
+* Establish	concept of '''arc.'''
-What are the student follow-up activities/ questions you can give?
+* Which	of these parts the largest? How can you say it is largest? Which	parameter defines the largeness?
+* What	do you notice  about the angles made at center by the four parts of	the circle. Which part of the circle has the largest angle?
-Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
+* What	is each part of the circle called? - Establish	sector
+* When	will all the four parts of the circle be equal?
+* What	is the total angle made at the center of the circle?
-Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
+[[Category:Circles]]