Difference between revisions of "Construction of cyclic quadrilateral"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
m (Preeta moved page Cyclic Quadrilateral to Construction of cyclic quadrilateral without leaving a redirect)
 
(2 intermediate revisions by one other user not shown)
Line 1: Line 1:
<!-- This portal was created using subst:box portal skeleton -->
+
   
<!--        BANNER ACROSS TOP OF PAGE        -->
 
{| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
 
|-
 
|style="width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
 
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
 
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
 
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
 
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
 
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
 
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
 
|}
 
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
 
  
= Concept Map =
+
=== Objectives ===
__FORCETOC__
+
Ability to construct a cyclic quadrilateral accurately .
= Textbook =
 
To add textbook links, please follow these instructions to:
 
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
 
  
=Additional Information=
+
===Estimated Time===
==Useful websites==
+
40 minutes.
==Reference Books==
 
  
= Teaching Outlines =
+
=== Prerequisites/Instructions, prior preparations, if any ===
 +
#Laptop, geogebra file, projector and a pointer.
 +
#Students constructing materials, the geometry box.
 +
#white papers.
  
==Concept #==
+
===Materials/ Resources needed===
===Learning objectives===
+
Sufficient knowledge regarding construction of perpendicular lines, bisectors, angles and circle.
===Notes for teachers===
 
===Activity No # ===
 
{| style="height:10px; float:right; align:center;"
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
*Estimated Time
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Evaluation
 
*Question Corner
 
  
===Activity No # ===
+
http://www.matrusrieppower.net/Constructionoftriangleandcyclicquadrilateral.html.
{| style="height:10px; float:right; align:center;"
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
*Estimated Time
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Evaluation
 
*Question Corner
 
  
==Concept #==
+
===Process (How to do the activity)===
===Learning objectives===
+
#The teacher can do this activity after introducing the concept and properties of cyclic quadrilateral.
===Notes for teachers===
+
#She can project the file and let students watch it carefully.
===Activity No # ===
+
#After watching discuss the steps of construction and the purpose of each step so that the students can appreciate the sequence of construction steps.
{| style="height:10px; float:right; align:center;"
+
#Then ask the students to actually construct a cyclic quadrilateral for the given measures.
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
+
*Developmental Questions:
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
+
#What is a cyclic quadrilateral ? Why is it called so ?
|}
+
#Name the measuring parameters of it ?
*Estimated Time
+
#What measures are given for its construction ?
*Materials/ Resources needed
+
#Explain the steps involved in determing the radius of the required circle ?
*Prerequisites/Instructions, if any
+
#What do the measures of the arcs specify ?
*Multimedia resources
+
*Evaluation:
*Website interactives/ links/ / Geogebra Applets
+
#Were the students able to justify the sequence of steps involved ?
*Process/ Developmental Questions
+
*Question Corner:
*Evaluation
+
#Can you draw a circle first and then the quadrilateral ? Why not so ?
*Question Corner
 
  
===Activity No # ===
+
[[Category:Quadrilaterals]]
{| style="height:10px; float:right; align:center;"
 
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;">
 
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
*Estimated Time
 
*Materials/ Resources needed
 
*Prerequisites/Instructions, if any
 
*Multimedia resources
 
*Website interactives/ links/ / Geogebra Applets
 
*Process/ Developmental Questions
 
*Evaluation
 
*Question Corner
 
 
 
 
 
 
 
= Hints for difficult problems =
 
 
 
= Project Ideas =
 
 
 
= Math Fun =
 
 
 
'''Usage'''
 
 
 
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
 

Latest revision as of 11:43, 30 October 2019


Objectives

Ability to construct a cyclic quadrilateral accurately .

Estimated Time

40 minutes.

Prerequisites/Instructions, prior preparations, if any

  1. Laptop, geogebra file, projector and a pointer.
  2. Students constructing materials, the geometry box.
  3. white papers.

Materials/ Resources needed

Sufficient knowledge regarding construction of perpendicular lines, bisectors, angles and circle.

http://www.matrusrieppower.net/Constructionoftriangleandcyclicquadrilateral.html.

Process (How to do the activity)

  1. The teacher can do this activity after introducing the concept and properties of cyclic quadrilateral.
  2. She can project the file and let students watch it carefully.
  3. After watching discuss the steps of construction and the purpose of each step so that the students can appreciate the sequence of construction steps.
  4. Then ask the students to actually construct a cyclic quadrilateral for the given measures.
  • Developmental Questions:
  1. What is a cyclic quadrilateral ? Why is it called so ?
  2. Name the measuring parameters of it ?
  3. What measures are given for its construction ?
  4. Explain the steps involved in determing the radius of the required circle ?
  5. What do the measures of the arcs specify ?
  • Evaluation:
  1. Were the students able to justify the sequence of steps involved ?
  • Question Corner:
  1. Can you draw a circle first and then the quadrilateral ? Why not so ?