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Line 1: + + − + − + − + − + − + − + − + − + − <mm>[[polygons.mm|flash]]</mm>+ − + + − + − + + + + + + − + − + Line 37:
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→Angle sum property
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''[http://karnatakaeducation.org.in/KOER/index.php/ಬಹು_ಭುಜಾಕೃತಿಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div>
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[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]
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[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]
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[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]
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[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]
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[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]
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[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]
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While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].
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==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==
==Useful websites==
=== Resources ===
==== 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
# Characteristics of polygons.
# Characteristics of polygons.
# Types of polygons.
# Types of polygons.
==Building prior competencies==
Many student are entering Class 9 without adequate understanding of prior concepts like angles, line, etc.
Therefore, the following sequence of lessons has been suggested with a combination of hands-on activities, Geogebra work to build those concepts in students.
[[File:Polygon_prior_competencies_upload.mm|flash]]
The following Geogebra files are used with associated lessons:
#[[:File:0. Angles introduction.ggb|Angles introduction]]
#[[:File:1. Complementary angles demonstration.ggb|Complementary angles]]
#[[:File:2. Supplementary angles demonstration.ggb|Supplementary angles]]
#[[:File:3. parallellines-2.ggb|Activity with parallel line]]
#[[:File:4. Introduction to a triangle.ggb|Demonstration of triangle]]
#[[:File:5. Introduction to a polygon.ggb|Polygon]]
==Concept #1. Introduction to polygons and nomenclature.==
==Concept #1. Introduction to polygons and nomenclature.==
===Learning objectives===
===Learning objectives===
[[File:naming polygons.jpeg|400px]]
[[File:naming polygons.jpeg|400px]]
# Meaning of greek numerals uni, bi, tri ....etc.
# Meaning of greek numerals uni, bi, tri ....etc.
*Multimedia resources: Laptop
*Multimedia resources: Laptop
*Website interactives/ links/ / Geogebra Applets: This geogebra file has been created by Maths stf teachers.
*Website interactives/ links/ / Geogebra Applets: This geogebra file has been created by '''Smt Sarah Zakiya Madam, GUHS, Yellagondapalya.'''
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<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.
*Question Corner
*Question Corner
[[:File:polygon problem.odt]]= Hints for difficult problems =
= Hints for difficult problems =
[[:File:polygon problem.odt]]
==Angle sum property==
CLASS IX TOPIC POLYGONS
CLASS IX TOPIC POLYGONS
ADDITIONAL PROBLEMS (problem no 3 )
ADDITIONAL PROBLEMS (problem no 3 )
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]]