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Line 6: − + − + − + − + − + − + − + − + − + − + − + − + − + + + + + − To add textbook links, please follow these instructions to: + − ([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])+ + + + + + + + + + + + + − + + + + + + − ===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 # === − {| 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 − + + − + − {| 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;">+ − − |} − *Estimated Time − *Materials/ Resources needed − *Prerequisites/Instructions, if any − *Multimedia resources − *Website interactives/ links/ / Geogebra Applets − *Process/ Developmental Questions − *Evaluation − *Question Corner − − ===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;"> − − |} − *Estimated Time − *Materials/ Resources needed − *Prerequisites/Instructions, if any − *Multimedia resources − *Website interactives/ links/ / Geogebra Applets − *Process/ Developmental Questions − *Evaluation − *Question Corner − + − ===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;"> − − |} − *Estimated Time − *Materials/ Resources needed − *Prerequisites/Instructions, if any − *Multimedia resources − *Website interactives/ links/ / Geogebra Applets − *Process/ Developmental Questions − *Evaluation − *Question Corner − ===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 # === − {| 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 + + + + + + + + + + + + + + + + + + + + + + + − + − Irrational numbers<br>+ − Exercise 1.3.1<br>+ + + + + − + + + − Solution: + − − Consider the squares of 4 and 5 − − Square of 4 = 16 and Square of 5 = 25 − − We can also write 4 and 5 as − − √ 16 =4 and √ 25 =5 − − Between and there exists − − √ 17 ,√ 18 , √ 19 , √ 20 , √ 21 , √ 22 , √ 23 , √ 24 + − '''Usage''' + − + − Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
→Activities
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''[http://karnatakaeducation.org.in/KOER/index.php/ವಾಸ್ತವ_ಸಂಖ್ಯೆಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div>
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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://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://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://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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| 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://www.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://www.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://www.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://www.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'''].
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 =
[[File:Real_Numbers.mm|Flash]]
__FORCETOC__
__FORCETOC__
= Textbook =
= Textbook =
Please click here for Karnataka and other text books.
#[http://ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter01.pdf Karnataka text book for Class 10, Chapter 01 - Real Numbers]
=Additional Information=
=Additional Information=
Write a descriptive note about a general form of a number for teacher reference.
==Useful websites==
==Useful websites==
# videos showing difference between rational and irrational nhumbers
{{#widget:YouTube|id=_e5GEw8BJPA}}
2. This is a geogebra file showing construction of an irrational number
{{#widget:YouTube|id=udKD4yxsWe4|left}}<br>
This is a resource file created by Suchetha, Mathematics teacher, GHS Thyamangondlu
3. To know more about Real numbers in Kannada [http://karnatakaeducation.org.in/KOER/index.php/ವಾಸ್ತವ_ಸಂಖ್ಯೆಗಳು click here] shared by Yakub koyyur GHS Nada.
==Reference Books==
==Reference Books==
= Teaching Outlines =
= Teaching Outlines =
==Concept #==
==Concept #1 - Set of rational and irrational numbers==
===Learning objectives===
===Learning objectives===
===Notes for teachers===
===Notes for teachers===
''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.''
===Activities===
#Activity No #1 '''Concept Name - [[Activity on Real Numbers|Activity No1.]]'''
#Activity No #2 '''Concept Name - Activity No.'''
==Concept #==
==Concept #2 Perfect Squares and Cubes==
===Learning objectives===
===Learning objectives===
===Notes for teachers===
===Notes for teachers===
''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 # ===
===Activities===
#Activity No #1 '''Concept Name - Activity No.'''
#Activity No #2 '''Concept Name - Activity No.'''
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
==Concept #==
==Concept #3 Square roots and cube roots==
===Learning objectives===
===Learning objectives===
===Notes for teachers===
===Notes for teachers===
''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.''
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
===Activities===
#Activity No #1 '''Concept Name - Activity No.'''
#Activity No #2 '''Concept Name - Activity No.'''
==Concept #4 Rational and irrational numbers==
===Learning objectives===
===Notes for teachers===
Resources and activities on:
#Number line
#Decimal expansion
#Operations
===Activities===
#Activity No #1 '''Concept Name - Activity No.'''
#Activity No #2 '''Concept Name - Activity No.'''
==Concept #4 Rational and irrational numbers==
===Learning objectives===
===Notes for teachers===
Resources and activities on:
#Number line
#Decimal expansion
#Operations
===Activities===
#Activity No #1 '''Concept Name - Activity No.'''
#Activity No #2 '''Concept Name - Activity No.'''
= Hints for difficult problems =
==Concept #5 Theorems and algorithms==
===Learning objectives===
===Notes for teachers===
Resources and activities on:
#Number line
#Decimal expansion
#Operations
1.Write four possible irrational numbers between 4 and 5.
===Activities===
#Activity No #1 '''Concept Name - Activity No.'''
#Activity No #2 '''Concept Name - Activity No.'''
=Assessment activities for CCE=
= Hints for difficult problems =
= Project Ideas =
= Project Ideas =
= Math Fun =
= Math Fun =
[[Category:Class 10]]
[[Category:Types of Numbers]]