Difference between revisions of "Basic elements of a circle"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
(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...")
 
Line 1: Line 1:
−
===Name of the activity===
+
=== Objectives===
−
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)
+
To recognize different elements in circles
−
 
 
−
=== Objectives ===
 
−
Content objectives  - what content areas
 
−
 
 
−
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===
 +
40 minutes
  
 
=== Prerequisites/Instructions, prior preparations, if any ===
 
=== Prerequisites/Instructions, prior preparations, if any ===
 +
Prior knowledge of point, lines, angles, polygons
  
 
===Materials/ Resources needed===
 
===Materials/ Resources needed===
 +
* Digital : Computer, geogebra application, projector.
 +
* Non digital : Worksheet and pencil, compass, strings
 +
* Geogebra files :  Elements of circles.ggb
 +
 
===Process (How to do the activity)===
 
===Process (How to do the activity)===
−
How to do the different steps of the activity?
+
'''Use geogebra file:''' 
 +
* Connect a point on the circle and the center of the circle.  Rotate to show line segment measures the same – establish radius
 +
* Extend the radius from center of the circle to meet the circle.
 +
* What is the measure of the line segment connecting the two points on the circle?
 +
* Establish concept of diameter
 +
* What is the difference between the radius and diameter?
 +
* How are they related?
 +
* What will happen if any two points on a circle are joined.
 +
 
 +
* Placing a point on the circle, can I measure the length along of the circle starting from this point to ending at the same point.
 +
* Measure the circumference using distance tool.
 +
* Will the circumference change if radius is changed.  How are circumference and radius related.
 +
'''Hands on activity'''
 +
* Draw a circle with a compass, mark 5 points on the circle. Join the these points to the center of the circle. Take a thread and measure the segment length. Record the data in the table.
 +
 
 +
{| class="wikitable"
 +
|Circle No
 +
|Point 1 (Segment length from center)
 +
|Point 2
 +
|Point 3
 +
|Point 4
 +
|Point 5
 +
|Line drawn through center touching circle - length
 +
|Thread length
 +
|-
 +
|Circle 1
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|-
 +
|Circle 2
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|-
 +
|Circle 3
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|}
  
−
What kinds of questions you can ask for that activity
+
For the circles drawn above measure the circumference using the thread to note the values. Also note your observations
  
−
What are the student follow-up activities/ questions you can give?
+
{| class="wikitable"
 +
|Circle No
 +
|Point 1 (Segment length from center)
 +
|Point 2
 +
|Point 3
 +
|Point 4
 +
|Point 5
 +
|Length of line drawn through center touching circle
 +
|Circumference
 +
|Observation
 +
|-
 +
|Circle 1
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|-
 +
|Circle 2
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|-
 +
|Circle 3
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|
 +
|}
  
−
Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
+
Draw a circle. Draw a line from any point on the circle passing through the center of the circle to intersect at another point on the circle. Mark the segment. Repeat the same taking different points on the circle. Note your observations
  
−
Example - (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
+
{| class="wikitable"
 +
|Segment through center
 +
|Length
 +
|Your observations
 +
|-
 +
|Segment 1
 +
|
 +
|
 +
|-
 +
|Segment 2
 +
|
 +
|
 +
|-
 +
|Segment 3
 +
|
 +
|
 +
|}

Revision as of 10:18, 7 May 2019

Objectives

To recognize different elements in circles

Estimated Time

40 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 : Elements of circles.ggb

Process (How to do the activity)

Use geogebra file:

  • Connect a point on the circle and the center of the circle. Rotate to show line segment measures the same – establish radius
  • Extend the radius from center of the circle to meet the circle.
  • What is the measure of the line segment connecting the two points on the circle?
  • Establish concept of diameter
  • What is the difference between the radius and diameter?
  • How are they related?
  • What will happen if any two points on a circle are joined.
  • Placing a point on the circle, can I measure the length along of the circle starting from this point to ending at the same point.
  • Measure the circumference using distance tool.
  • Will the circumference change if radius is changed. How are circumference and radius related.

Hands on activity

  • Draw a circle with a compass, mark 5 points on the circle. Join the these points to the center of the circle. Take a thread and measure the segment length. Record the data in the table.
Circle No Point 1 (Segment length from center) Point 2 Point 3 Point 4 Point 5 Line drawn through center touching circle - length Thread length
Circle 1
Circle 2
Circle 3

For the circles drawn above measure the circumference using the thread to note the values. Also note your observations

Circle No Point 1 (Segment length from center) Point 2 Point 3 Point 4 Point 5 Length of line drawn through center touching circle Circumference Observation
Circle 1
Circle 2
Circle 3

Draw a circle. Draw a line from any point on the circle passing through the center of the circle to intersect at another point on the circle. Mark the segment. Repeat the same taking different points on the circle. Note your observations

Segment through center Length Your observations
Segment 1
Segment 2
Segment 3
Retrieved from "https://karnatakaeducation.org.in/KOER/en/index.php?title=Basic_elements_of_a_circle&oldid=30946"