Difference between revisions of "Real numbers"

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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]
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[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]
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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://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/Mathematics:_Pedagogy Teaching of Mathematics]
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[http://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/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]
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[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]
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[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]
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[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'''].
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= Concept Map =
 
= Concept Map =
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[[File:Real_Numbers.mm|Flash]]
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__FORCETOC__
 
__FORCETOC__
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= Textbook =
 
= Textbook =
To add textbook links, please follow these instructions to:
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Please click here for Karnataka and other text books.
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
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#[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=
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Write a descriptive note about a general form of a number for teacher reference.
 
==Useful websites==
 
==Useful websites==
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# videos showing difference between rational and irrational nhumbers
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{{#widget:YouTube|id=_e5GEw8BJPA}}
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2. This is a geogebra file showing construction of an irrational number
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{{#widget:YouTube|id=udKD4yxsWe4|left}}<br>
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This is a resource file created by Suchetha, Mathematics teacher, GHS Thyamangondlu
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 +
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.
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==Reference Books==
 
==Reference Books==
  
 
= Teaching Outlines =
 
= Teaching Outlines =
  
==Concept #==
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==Concept #1 - Set of rational and irrational numbers==
 
===Learning objectives===
 
===Learning objectives===
 
===Notes for teachers===
 
===Notes for teachers===
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''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.''
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===Activities===
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#Activity No #1 '''Concept Name - [[Activity on Real Numbers|Activity No1.]]'''
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#Activity No #2 '''Concept Name - Activity No.'''
  
===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
 
  
==Concept #==
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==Concept #2 Perfect Squares and Cubes==
 
===Learning objectives===
 
===Learning objectives===
 
===Notes for teachers===
 
===Notes for teachers===
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''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 # ===
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===Activities===
{| style="height:10px; float:right; align:center;"
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#Activity No #1 '''Concept Name - Activity No.'''
|<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;">
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#Activity No #2 '''Concept Name - Activity No.'''
''[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
 
  
==Concept #==
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==Concept #3 Square roots and cube roots==
 
===Learning objectives===
 
===Learning objectives===
 
===Notes for teachers===
 
===Notes for teachers===
===Activity No # ===
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''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.''
{| 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
 
===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
 
  
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===Activities===
 +
#Activity No #1 '''Concept Name - Activity No.'''
 +
#Activity No #2 '''Concept Name - Activity No.'''
  
 +
==Concept #4 Rational and irrational numbers==
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===Learning objectives===
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===Notes for teachers===
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Resources and activities on:
 +
#Number line
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#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 =
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==Concept #5 Theorems and algorithms==
Irrational numbers<br>
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===Learning objectives===
Exercise 1.3.1<br>
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===Notes for teachers===
 +
Resources and activities on:
 +
#Number line
 +
#Decimal expansion
 +
#Operations
  
1.Write four  possible irrational numbers between 4 and 5.
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===Activities===
 +
#Activity No #1 '''Concept Name - Activity No.'''
 +
#Activity No #2 '''Concept Name - Activity No.'''
  
Solution:
+
=Assessment activities for CCE=
 
 
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
 
  
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= Hints for difficult problems =
 
= Project Ideas =
 
= Project Ideas =
  
 
= Math Fun =
 
= Math Fun =
  
'''Usage'''
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[[Category:Class 10]]
 
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[[Category:Types of Numbers]]
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
 

Latest revision as of 11:06, 7 November 2019

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

While creating a resource page, please click here for a resource creation checklist.


Concept Map

[maximize]


Textbook

Please click here for Karnataka and other text books.

  1. Karnataka text book for Class 10, Chapter 01 - Real Numbers

Additional Information

Write a descriptive note about a general form of a number for teacher reference.

Useful websites

  1. videos showing difference between rational and irrational nhumbers

2. This is a geogebra file showing construction of an irrational number


This is a resource file created by Suchetha, Mathematics teacher, GHS Thyamangondlu

3. To know more about Real numbers in Kannada click here shared by Yakub koyyur GHS Nada.

Reference Books

Teaching Outlines

Concept #1 - Set of rational and irrational numbers

Learning objectives

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

  1. Activity No #1 Concept Name - Activity No1.
  2. Activity No #2 Concept Name - Activity No.


Concept #2 Perfect Squares and Cubes

Learning objectives

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

  1. Activity No #1 Concept Name - Activity No.
  2. Activity No #2 Concept Name - Activity No.

Concept #3 Square roots and cube roots

Learning objectives

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

  1. Activity No #1 Concept Name - Activity No.
  2. Activity No #2 Concept Name - Activity No.

Concept #4 Rational and irrational numbers

Learning objectives

Notes for teachers

Resources and activities on:

  1. Number line
  2. Decimal expansion
  3. Operations

Activities

  1. Activity No #1 Concept Name - Activity No.
  2. Activity No #2 Concept Name - Activity No.

Concept #4 Rational and irrational numbers

Learning objectives

Notes for teachers

Resources and activities on:

  1. Number line
  2. Decimal expansion
  3. Operations

Activities

  1. Activity No #1 Concept Name - Activity No.
  2. Activity No #2 Concept Name - Activity No.

Concept #5 Theorems and algorithms

Learning objectives

Notes for teachers

Resources and activities on:

  1. Number line
  2. Decimal expansion
  3. Operations

Activities

  1. Activity No #1 Concept Name - Activity No.
  2. Activity No #2 Concept Name - Activity No.

Assessment activities for CCE

Hints for difficult problems

Project Ideas

Math Fun