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Line 24: − <mm>[[Surds in Manjesh.mm|Flash]]</mm>+ + − + + − + Line 45:
Line 50: + + + + + + + + + + + − ==Concept 1: '''Definition'''== − #types of surds − #identifying like surds and unlike surds − #defining binomial surds. − # operations on surds − #explaining the process of rationalisation of surds. − #rationalising surds − #simplification of surds by rationalising the denominator. − #Meaning and of surds+ − #differentiate like and unlike surds+ − #Examples of pure and mixed surds+ − #Rationalising the denominator. − '''Fun:Surds Definition'''+ − − #Activity No #2 '''Concept Name - Activity No.''' − + Line 75:
Line 80: + + − ''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''+ + + + + + + + − #Activity No #1 '''Concept Name - Activity No.'''+ − + − + + + + + + + Line 102:
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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]
| 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__
[[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.
#[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=
#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
#[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.
= Teaching Outlines =
= Teaching Outlines =
*Definition, examaples
*Order and radicand of a surd
*Like Surds and Unlike Surds
*Addition and Subtraction of Surds
*Multiplication of Surds.<br>i.Multiplication of Surds having same Order<br>ii. Multiplication of Surds having different Order
*Rationalising Factor of a Surd
*Simplifying a surd by Rationalizing denominator of a surd
==Concept 1: '''Definition of surds'''==
Irrational root of rational number. Example:<math>\sqrt{2}, 7\sqrt{5}, \sqrt{x}</math>
===Learning objectives===
===Learning objectives===
#know the meaning of surds
#know the meaning of surds
#recognising radicand and order of surds
#recognising radicand and order of surds
===Notes for teachers===
===Notes for teachers===
If you can't simplify a number to remove a square root (or cube root etc) then it is a surd.
If it is a root and irrational, it is a surd.
But not all roots are surds.
===Activities===
===Activities===
Activity for Definition[[Surds_definition_of_surds_activity1| click]]
[http://www.mathsisfun.com/surds.html_ click here]
==Concept: Like and Unlike surds==
==Concept-2: '''Like and Unlike surds'''==
===Learning objectives===
===Learning objectives===
#Know the meaning of surd
#Know the meaning of surd
#Examples of like and unlike surds
#Examples of like and unlike surds
#To change surd to simplest form
#To change surd to simplest form
#Addition and Multiplication og surds
===Notes for teachers===
===Notes for teachers===
1.Like surds: A group of surds having same order and same radicand in their simplest form.
Example: <math>3\sqrt{5}, 7\sqrt{5}, x\sqrt{5}</math><br>
2.Unlike surds: Groups of surds having different orders or different radicandsor both in their simplest form.
Example: <math>\sqrt{a}, 3\sqrt{2}, x\sqrt{5}</math><br>
3.Addition and sustraction of surds.
Example: <math>2\sqrt{5}+3\sqrt{5}-\sqrt{5}</math><br>
4.Multiplication of surds.
Example: <math>7\sqrt{3} X 2\sqrt{5}</math><br>
===Activities===
===Activities===
Activity for like and unlike surds [[Surds_like_and_unlike_surds_activity_1|click here]]
[http://www.education.vic.gov.au/school/teachers/teachingresources/discipline/maths/continuum/Pages/surds55.aspx| click]
#Activity No #2 '''Concept Name - Activity No.'''
== Concept-3: Addition of Surds ==
#simplify the surds
<math>3\sqrt{45}+2\sqrt{20}-\sqrt{5}</math>
<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.
Examples:
[[Surds_CCE_Activity]] click here
= Hints for difficult problems =
= Hints for difficult problems =
= Math Fun =
= Math Fun =
[[Category:Surds]]