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From Karnataka Open Educational Resources
910 bytes added ,  07:41, 7 November 2019
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removed Category:Algebra using HotCat
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''[http://karnatakaeducation.org.in/KOER/index.php/ಕರಣಿಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div>
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
 
[http://www.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://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
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| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
 
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
 
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
 
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
 
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
 
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
 
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= Concept Map =
 
= Concept Map =
 
__FORCETOC__
 
__FORCETOC__
<mm>[[Surds in Manjesh.mm|Flash]]</mm>
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[[File:Surds in Manjesh.mm|Flash]]
    
= Textbook =
 
= Textbook =
 
Please click here for Karnataka and other text books.
 
Please click here for Karnataka and other text books.
 
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#[http://ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter07.pdf Karnataka text book for Class 10, Chapter 07 - Surds]
    
=Additional Information=
 
=Additional Information=
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#9th_and_10th_ NCERT, ICSE and CBSE Text books, relavent websites and other books
 
==Useful websites==
 
==Useful websites==
#[http://m.everythingmaths.co.za/grade-11/01-exponents-and-surds/01-exponents-and-surds-02.cnxmlplus Surds] starts with basic concepts,(to view the next page, please click on previous/up/next options in the bottom of the page
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#[http://m.everythingmaths.co.za/grade-11/01-exponents-and-surds/01-exponents-and-surds-02.cnxmlplus Surds] starts with basic concepts,(to view the next page, please click on previous/up/next options in the bottom of the page
 
#[http://en.wikipedia.org/wiki/Nth_root Please refer Wikipedia page for Surds]. This page discusses SuFNcY1z8dr6srds in detail.
 
#[http://en.wikipedia.org/wiki/Nth_root Please refer Wikipedia page for Surds]. This page discusses SuFNcY1z8dr6srds in detail.
 
#[http://www.mathcentre.ac.uk/resources/uploaded/mc-ty-surds-2009-1.pdf surds and other roots]This page discusses surds and roots in detail.
 
#[http://www.mathcentre.ac.uk/resources/uploaded/mc-ty-surds-2009-1.pdf surds and other roots]This page discusses surds and roots in detail.
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= Teaching Outlines =
 
= Teaching Outlines =
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*Definition, examaples
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*Order and radicand of a surd
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*Like Surds and Unlike Surds
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*Addition and Subtraction of Surds
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*Multiplication of Surds.<br>i.Multiplication of Surds having same Order<br>ii. Multiplication of Surds having different Order
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*Rationalising Factor of a Surd
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*Simplifying a surd by Rationalizing denominator of a surd
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==Concept 1: '''Definition of surds'''==
 
==Concept 1: '''Definition of surds'''==
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Irrational root of rational number. Example:<math>\sqrt{2}, 7\sqrt{5},  \sqrt{x}</math>
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===Learning objectives===
 
===Learning objectives===
 
#know the meaning of surds
 
#know the meaning of surds
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===Activities===
 
===Activities===
#Activity1
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Activity for Definition[[Surds_definition_of_surds_activity1| click]]
[[Surds_definition_of_surds_activity1|click here]]
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==Concept-2: Like and Unlike surds==
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==Concept-2: '''Like and Unlike surds'''==
 
===Learning objectives===
 
===Learning objectives===
 
#Know the meaning of surd
 
#Know the meaning of surd
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===Activities===
 
===Activities===
#Activity No:1 '''Like surds'''
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Activity for like and unlike surds [[Surds_like_and_unlike_surds_activity_1|click here]]
[http://www.skwirk.com/p-c_s-12%20_u-86_t-164_c-526/adding-and-subtracting-surds/nsw/maths/number/surds#quiz_ click]
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#Activity No:2 '''Unlike surds'''
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[http://www.mathsteacher.com.au/year10/ch09_surds/05_multiplication/mult.htm_ click]
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activity 3 [[Surds_like_and_unlike_surds_activity_3]]
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== Concept-3: Addition of Surds ==
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#simplify the surds
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<math>3\sqrt{45}+2\sqrt{20}-\sqrt{5}</math>
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<math>=3\sqrt{3X3X5}+2\sqrt{2X2X5}-\sqrt{5}</math>
 
=Assessment activities for CCE=
 
=Assessment activities for CCE=
 
Solving problems with  same order and same radicand, same order and different radicand, different order and different radicand also different order and same order.
 
Solving problems with  same order and same radicand, same order and different radicand, different order and different radicand also different order and same order.
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= Math Fun =
 
= Math Fun =
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[[Category:Surds]]