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]
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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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| 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'''].
  
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= Concept Map =
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== Concept Map ==
 
__FORCETOC__
 
__FORCETOC__
  
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[[File:square,square root, cube, and cube roots.mm|Flash]]</mm>
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[[File:square,square root, cube, and cube roots.mm|Flash]]
  
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= Textbook =
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== Textbook ==
 
Please click here for Karnataka and other text books.
 
Please click here for Karnataka and other text books.
  
  
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=Additional Information=
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==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.
 
   
 
   
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{{#widget:YouTube|id=8y7xP4zz0UY}}
 
{{#widget:YouTube|id=8y7xP4zz0UY}}
  
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=== Resources ===
  
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==== Resource Title ====
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[http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.NUMB&ID2=AB.MATH.JR.NUMB.SQUA Square Roots]
  
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==Useful websites==
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===Useful websites===
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# To get the information about square and square root[https://www.mathsisfun.com/square-root.html click here]
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# To get the information about square and square root [https://www.mathsisfun.com/square-root.html click here]
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# To know more about square and square root[http://www.math.com/school/subject1/lessons/S1U1L9GL.html click here]
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# To know more about square and square root [http://www.math.com/school/subject1/lessons/S1U1L9GL.html click here]
  
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==Reference Books==
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===Reference Books===
  
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= Teaching Outlines =
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== Teaching Outlines ==
 +
 
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==Concept 1: Square Root==
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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
  
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==Concept #==
 
 
===Learning objectives===
 
===Learning objectives===
 
===Notes for teachers===
 
===Notes for teachers===
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==Concept #==
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==Concept 2: '''''Perfect square-numbers'''''==
 
===Learning objectives===
 
===Learning objectives===
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# The students should understand that a perfect square number is the product obtained by multiplying same number with same sign twice.
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# Recognizing perfect square-numbers in a given group of numbers
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# perfect square-number patterns
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# differentiating between perfect square-numbers & other numbers.
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===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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Patterns & games of perfect square-number may be given to students
  
 
===Activities===
 
===Activities===
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#Activity No #1 '''Concept Name - Activity No.'''
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#Activity No #1 Patterns & games of perfect square-number may be given to students  '''- [[Perfect Square- Activity 1|Activity No1]]'''
 
#Activity No #2 '''Concept Name - Activity No.'''
 
#Activity No #2 '''Concept Name - Activity No.'''
  
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=Assessment activities for CCE=
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== Concept 3: SQUARE ROOT OF A NUMBER ==
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=== Learning objectives ===
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# Understanding the geometric meaning of square root.
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# Finding square root of a perfect square number by prime factorization.
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# Finding square root of a  number by division method.
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# Finding square root of a decimal number.
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=== Notes for teachers ===
 +
 
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=== Activities ===
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# Activity No #1:  Activity on square and square roots by exploring the relationship between area of a square and its side length- '''[[Relationship between Area of a square and its Sidelength- Activity 1|Activity 1]]'''
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# Activity No #2 ;Finding square of one digit number '''- Activity No.2.''' [https://karnatakaeducation.org.in/KOER/en/index.php/Finding_Squares_of_one_digit Refer this link]
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==Assessment activities for CCE==
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 +
== Hints for difficult problems ==
  
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= Hints for difficult problems =
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== Project Ideas ==
  
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= Project Ideas =
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== Math Fun ==
  
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= Math Fun =
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[[Category:Class 8]]
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[[Category:Operations on Numbers]]

Latest revision as of 08:28, 23 June 2022

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.


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.

Resources

Resource Title

Square Roots

Useful websites

  1. To get the information about square and square root click here
  2. To know more about square and square root click 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

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


Concept 2: Perfect square-numbers

Learning objectives

  1. The students should understand that a perfect square number is the product obtained by multiplying same number with same sign twice.
  2. Recognizing perfect square-numbers in a given group of numbers
  3. perfect square-number patterns
  4. differentiating between perfect square-numbers & other numbers.

Notes for teachers

Patterns & games of perfect square-number may be given to students

Activities

  1. Activity No #1 Patterns & games of perfect square-number may be given to students - Activity No1
  2. Activity No #2 Concept Name - Activity No.

Concept 3: SQUARE ROOT OF A NUMBER

Learning objectives

  1. Understanding the geometric meaning of square root.
  2. Finding square root of a perfect square number by prime factorization.
  3. Finding square root of a number by division method.
  4. Finding square root of a decimal number.

Notes for teachers

Activities

  1. Activity No #1: Activity on square and square roots by exploring the relationship between area of a square and its side length- Activity 1
  2. Activity No #2 ;Finding square of one digit number - Activity No.2. Refer this link

Assessment activities for CCE

Hints for difficult problems

Project Ideas

Math Fun

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