36
edits
Changes
From Karnataka Open Educational Resources
→Angle sum property
{| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
{| 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; "|
| 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]
[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:_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; "|
| 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]
[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; "|
| 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]
[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; "|
| 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]
[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; "|
| 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]
[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; "|
| 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]
[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'''].
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==
==Concept map==
{{#drawio:mmPolygons|interactive}}
= Textbook =
== Textbook ==
To add textbook links, please follow these instructions to:
To add textbook links, please follow these instructions to:
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
=Additional Information=
==Additional Information==
=== Resources ===
==Useful websites==
==== Resource Title ====
[http://www.mathopenref.com/tocs/polygontoc.html Polygons]
===Useful websites===
1. http://www.wyzant.com/resources/lessons/math/geometry/quadrilaterals/polygons . This website is good for referring to the theory regarding polygons.
1. http://www.wyzant.com/resources/lessons/math/geometry/quadrilaterals/polygons . This website is good for referring to the theory regarding polygons.
==Reference Books==
===Reference Books===
= Teaching Outlines =
== Teaching Outlines ==
# Introduction to polygon
# Introduction to polygon
*Multimedia resources: Laptop
*Multimedia resources: Laptop
*Website interactives/ links/ / Geogebra Applets: This geogebra file has been created by '''Smt Sarah Zakiya Madam, GUHS, Yellagondapalya.'''
*Website interactives/ links/ / Geogebra Applets: This geogebra file has been created by '''Smt Sarah Zakiya Madam, GUHS, Yellagondapalya.'''
<ggb_applet width="1280" height="582" version="4.0" ggbBase64="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" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="true" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="true" />
<span> </span>
<span></span><div id="ggbContainerfbad5ae84c119793e6125f6c6fe3c642"></div><span></span>
*Process:
*Process:
# The teacher can tell the students that they are surrounded by many different kinds of shapes every day.
# The teacher can tell the students that they are surrounded by many different kinds of shapes every day.
A polygon has 'n' sides .Two of it's angles are right angles and each of remaining angle isFind the value of 'n'.
A polygon has 'n' sides .Two of it's angles are right angles and each of remaining angle isFind the value of 'n'.
Step 1;(Students must understand the problem)
Step 1;(Students must understand the problem)
In a polygon of side 'n' two angles are and other angles are each.We must find out value of 'n'.
In a polygon of side 'n' two angles are and other angles are each. We must find out value of 'n'.
Step 2(Students know the formula for sum of angles of polygon of side 'n')
Step 2(Students know the formula for sum of angles of polygon of side 'n')
(2n-4)right angles.
(2n-4)right angles.
There are 'n' angles in a polygon of side 'n'.Out of 'n' angles 2 angles are right anles and other (n-2) angles are each.
There are 'n' angles in a polygon of side 'n'.Out of 'n' angles 2 angles are right anles and other (n-2) angles are each.
(2n-4) <math>90^0</math> = (n-2)<math>\144^0+(2)(90^0)how to open the bracket and substitute the values)
(2n-4) <math>90^0</math> = (n-2)<nowiki><math>\144^0+(2)(90^0)how to open the bracket and substitute the values)</nowiki>
2n x - 4 x =
2n x - 4 x =
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
[[Category:Polygons]]
