Difference between revisions of "Real numbers"
(42 intermediate revisions by 11 users not shown) | |||
Line 1: | Line 1: | ||
+ | <div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#ffffff; vertical-align:top; text-align:center; padding:5px;"> | ||
+ | ''[http://karnatakaeducation.org.in/KOER/index.php/ವಾಸ್ತವ_ಸಂಖ್ಯೆಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div> | ||
<!-- This portal was created using subst:box portal skeleton --> | <!-- This portal was created using subst:box portal skeleton --> | ||
Line 4: | Line 6: | ||
{| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;" | {| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;" | ||
|- | |- | ||
− | |style="width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "| | + | | 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] |
− | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "| | + | | 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:_Pedagogy Teaching of Mathematics] | + | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics] |
− | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "| | + | | 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] |
− | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "| | + | | 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:_Topics Topics in School Mathematics] | + | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics] |
− | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "| | + | | 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/Text_Books#Mathematics_-_Textbooks Textbooks] | + | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks] |
− | |style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "| | + | | 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:_Question_Papers Question Bank] | + | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank] |
|} | |} | ||
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.'' | ||
− | === | + | ===Activities=== |
− | + | #Activity No #1 '''Concept Name - Activity No.''' | |
− | + | #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=== |
− | + | #Activity No #1 '''Concept Name - Activity No.''' | |
− | + | #Activity No #2 '''Concept Name - Activity No.''' | |
− | '' | ||
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | ==Concept #== | + | ==Concept #4 Rational and irrational numbers== |
===Learning objectives=== | ===Learning objectives=== | ||
===Notes for teachers=== | ===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.''' | ||
+ | |||
+ | ==Concept #5 Theorems and algorithms== | ||
+ | ===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.''' | ||
+ | =Assessment activities for CCE= | ||
= Hints for difficult problems = | = Hints for difficult problems = | ||
− | |||
= Project Ideas = | = Project Ideas = | ||
= Math Fun = | = Math Fun = | ||
− | + | [[Category:Class 10]] | |
− | + | [[Category:Types of Numbers]] | |
− |
Latest revision as of 16:36, 7 November 2019
Philosophy of Mathematics |
While creating a resource page, please click here for a resource creation checklist.
Concept Map
Textbook
Please click here for Karnataka and other text books.
Additional Information
Write a descriptive note about a general form of a number for teacher reference.
Useful websites
- 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
- Activity No #1 Concept Name - Activity No1.
- 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
- Activity No #1 Concept Name - Activity No.
- 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
- 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.
Concept #5 Theorems and algorithms
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.