Difference between revisions of "Constructing a square"

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)
+
#Construction of a perfect square.
−
 
+
#Use of equal radius arcs to get equal sides of a square in the construction protocol.
−
=== Objectives ===
+
#Use of perpendicular lines to draw sides of a square.
−
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 ===
  
 
===Materials/ Resources needed===
 
===Materials/ Resources needed===
 +
Non digital: White paper, compass, pencil and scale.
 +
 +
This activity has been taken from the website :http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Mylod/Math7200/Project/Square.html
 +
*Process:
 +
[[File:sq const.jpeg|300px|link=http://karnatakaeducation.org.in/KOER/en/index.php/File:Sq_const.jpeg]]
 
===Process (How to do the activity)===
 
===Process (How to do the activity)===
−
How to do the different steps of the activity?
+
#To construct a square of a given length, draw a line segment AB of given length.
−
 
+
#Draw perpendicular to the line AB at A.
−
What kinds of questions you can ask for that activity
+
#Taking AB as radius draw a circle with A as centre.
−
 
+
#The circle intersects the perpendicular at a point. Name the intersecting point as C.
−
What are the student follow-up activities/ questions you can give?
+
#Similarly draw perpendiculars to AC at C. You get third side of the square.
−
 
+
#To get the fourth side of the square construct a perpendicular to AB at B.
−
Categories:  (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
+
#Name the two intersecting perpendiculars as D.
−
 
+
#ABCD would be the required square.
−
Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
+
*Developmental Questions:
 +
#For what measure are you drawing a square ?
 +
#What is a perpendicular line ?
 +
#Why are we constructing perpendicular lines for constructing a square ?
 +
#What is the purpose of drawing a circle ?
 +
#How do we determine the fourth vertex of the square ?
 +
*Evaluation:
 +
#What are perpendicular lines ?
 +
#Why is a circle being drawn ? Which purpose would it solve ?
 +
*Question Corner
 +
#Can a square be constructed without using a compass ?

Revision as of 16:13, 30 May 2019

Objectives

  1. Construction of a perfect square.
  2. Use of equal radius arcs to get equal sides of a square in the construction protocol.
  3. Use of perpendicular lines to draw sides of a square.

Estimated Time

40 minutes

Prerequisites/Instructions, prior preparations, if any

Materials/ Resources needed

Non digital: White paper, compass, pencil and scale.

This activity has been taken from the website :http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Mylod/Math7200/Project/Square.html

  • Process:

Sq const.jpeg

Process (How to do the activity)

  1. To construct a square of a given length, draw a line segment AB of given length.
  2. Draw perpendicular to the line AB at A.
  3. Taking AB as radius draw a circle with A as centre.
  4. The circle intersects the perpendicular at a point. Name the intersecting point as C.
  5. Similarly draw perpendiculars to AC at C. You get third side of the square.
  6. To get the fourth side of the square construct a perpendicular to AB at B.
  7. Name the two intersecting perpendiculars as D.
  8. ABCD would be the required square.
  • Developmental Questions:
  1. For what measure are you drawing a square ?
  2. What is a perpendicular line ?
  3. Why are we constructing perpendicular lines for constructing a square ?
  4. What is the purpose of drawing a circle ?
  5. How do we determine the fourth vertex of the square ?
  • Evaluation:
  1. What are perpendicular lines ?
  2. Why is a circle being drawn ? Which purpose would it solve ?
  • Question Corner
  1. Can a square be constructed without using a compass ?
Retrieved from "https://karnatakaeducation.org.in/KOER/en/index.php?title=Constructing_a_square&oldid=31276"