Difference between revisions of "Squares, Square- Roots, Cubes And Cube- Roots"
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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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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 == |
__FORCETOC__ | __FORCETOC__ | ||
[[File:square,square root, cube, and cube roots.mm|Flash]] | [[File:square,square root, cube, and cube roots.mm|Flash]] | ||
| − | = Textbook = | + | == Textbook == |
Please click here for Karnataka and other text books. | Please click here for Karnataka and other text books. | ||
| − | =Additional Information= | + | ==Additional Information== |
This video is related to square and square roots and introduction to cube roots, cube root of negative numbers and cube root of non perfect cube simultaneously. | This video is related to square and square roots and introduction to cube roots, cube root of negative numbers and cube root of non perfect cube simultaneously. | ||
| Line 40: | Line 40: | ||
| − | ==Useful websites== | + | ===Useful websites=== |
# To get the information about square and square root[https://www.mathsisfun.com/square-root.html click here] | # To get the information about square and square root[https://www.mathsisfun.com/square-root.html click here] | ||
# To know more about square and square root[http://www.math.com/school/subject1/lessons/S1U1L9GL.html click here] | # To know more about square and square root[http://www.math.com/school/subject1/lessons/S1U1L9GL.html click here] | ||
| − | ==Reference Books== | + | ===Reference Books=== |
| − | = Teaching Outlines = | + | == Teaching Outlines == |
| + | |||
| + | ==Concept 1: Square Root== | ||
| + | Suppose N is a natural number such that N= . The number m is called square root of N we have =mxm or =-mx-m. Thus has 2 square roots, m and -m. Example 9= or .Thus both 3 and -3 are | ||
| − | |||
===Learning objectives=== | ===Learning objectives=== | ||
===Notes for teachers=== | ===Notes for teachers=== | ||
| Line 59: | Line 61: | ||
| − | ==Concept | + | ==Concept 2: '''''Perfect square-numbers'''''== |
===Learning objectives=== | ===Learning objectives=== | ||
| + | # The students should understand that a perfect square number is the product obtained by multiplying same number with same sign twice. | ||
| + | # Recognising perfect square-numbers in a given group of numbers | ||
| + | # perfect square-number patterns | ||
| + | # differentiating between perfect square-numbers & other numbers. | ||
| + | |||
===Notes for teachers=== | ===Notes for teachers=== | ||
| − | + | Patterns & games of perfect square-number may be given to students | |
===Activities=== | ===Activities=== | ||
| − | #Activity No #1 ''' | + | #Activity No #1 Patterns & games of perfect square-number may be given to students '''- Activity No1''' |
#Activity No #2 '''Concept Name - Activity No.''' | #Activity No #2 '''Concept Name - Activity No.''' | ||
| − | =Assessment activities for CCE= | + | == Concept 3: SQUARE ROOT OF A NUMBER == |
| + | |||
| + | === Learning objectives === | ||
| + | # Understanding the geometric meaning of square root. | ||
| + | # Finding square root of a perfect square number by prime factorisation.> | ||
| + | # Finding square root of a number by division method. | ||
| + | # Finding square root of a decimal number. | ||
| + | |||
| + | === Notes for teachers === | ||
| + | |||
| + | === Activities === | ||
| + | # Activity No #1: Activity on square and square roots by exploring the relationship between area of a square and its side length- '''Activity 1''' | ||
| + | # 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:Number system]] | [[Category:Number system]] | ||
[[Category:Class 8]] | [[Category:Class 8]] | ||
Revision as of 07:28, 11 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
This video is related to square and square roots and introduction to cube roots, cube root of negative numbers and cube root of non perfect cube simultaneously.
Useful websites
- To get the information about square and square rootclick here
- To know more about square and square rootclick here
Reference Books
Teaching Outlines
Concept 1: Square Root
Suppose N is a natural number such that N= . The number m is called square root of N we have =mxm or =-mx-m. Thus has 2 square roots, m and -m. Example 9= or .Thus both 3 and -3 are
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 2: Perfect square-numbers
Learning objectives
- The students should understand that a perfect square number is the product obtained by multiplying same number with same sign twice.
- Recognising perfect square-numbers in a given group of numbers
- perfect square-number patterns
- differentiating between perfect square-numbers & other numbers.
Notes for teachers
Patterns & games of perfect square-number may be given to students
Activities
- Activity No #1 Patterns & games of perfect square-number may be given to students - Activity No1
- Activity No #2 Concept Name - Activity No.
Concept 3: SQUARE ROOT OF A NUMBER
Learning objectives
- Understanding the geometric meaning of square root.
- Finding square root of a perfect square number by prime factorisation.>
- Finding square root of a number by division method.
- Finding square root of a decimal number.
Notes for teachers
Activities
- Activity No #1: Activity on square and square roots by exploring the relationship between area of a square and its side length- Activity 1
- Activity No #2 Concept Name - Activity No.