Difference between revisions of "Squares, Square- Roots, Cubes And Cube- Roots"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
(Created page with "{{subst:Math-Content}}")
 
 
(19 intermediate revisions by 6 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/ವರ್ಗ_ವರ್ಗಮೂಲಗಳು_ಘನ_ಮತ್ತು_ಘನ_ಮೂಲಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div>
 
<!-- This portal was created using subst:box portal skeleton  -->
 
<!-- This portal was created using subst:box portal skeleton  -->
 
<!--        BANNER ACROSS TOP OF PAGE        -->
 
<!--        BANNER ACROSS TOP OF PAGE        -->
 
{| 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://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]
−
|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://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]
−
|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://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]
−
|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://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]
−
|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://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]
−
|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://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]
 
|}
 
|}
 
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__
−
= Textbook =
 
−
To add textbook links, please follow these instructions to:
 
−
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
 
  
−
=Additional Information=
+
[[File:square,square root, cube, and cube roots.mm|Flash]]
−
==Useful websites==
 
−
==Reference Books==
 
  
−
= Teaching Outlines =
+
== 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.
 +
 +
{{#widget:YouTube|id=Ymcf14wC9Ck}}
 +
{{#widget:YouTube|id=87_qIofPwhg}}
 +
{{#widget:YouTube|id=DKh16Th8x6o}}
 +
{{#widget:YouTube|id=8y7xP4zz0UY}}
 +
 
 +
=== Resources ===
 +
 
 +
==== Resource Title ====
 +
[http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.NUMB&ID2=AB.MATH.JR.NUMB.SQUA Square Roots]
 +
 
 +
===Useful websites===
 +
# 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]
 +
 
 +
===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
  
−
==Concept #==
 
 
===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.''
 
''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===
−
{| style="height:10px; float:right; align:center;"
+
#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;">
+
#Activity No #2 '''Concept Name - Activity No.'''
−
''[http://www.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 (How to do the activity)'''
 
−
* '''Developmental Questions (What discussion questions)'''
 
−
* '''Evaluation (Questions for assessment of the child)'''
 
−
* '''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://www.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 (How to do the activity)'''
 
−
* '''Developmental Questions (What discussion questions)'''
 
−
* '''Evaluation (Questions for assessment of the child)'''
 
−
* '''Question Corner'''
 
  
  
−
==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.
 +
# Recognizing 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===
−
''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.''
+
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  '''- [[Perfect Square- Activity 1|Activity No1]]'''
 +
#Activity No #2 '''Concept Name - Activity No.'''
 +
 
 +
== Concept 3: SQUARE ROOT OF A NUMBER ==
  
−
===Activity No # ===
+
=== Learning objectives ===
−
{| style="height:10px; float:right; align:center;"
+
# Understanding the geometric meaning of square root.
−
|<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;">
+
# Finding square root of a perfect square number by prime factorization.
−
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
+
# Finding square root of a  number by division method.
−
|}
+
# Finding square root of a decimal number.
−
* '''Estimated Time'''
 
−
* '''Materials/ Resources needed'''
 
−
* '''Prerequisites/Instructions, if any'''
 
−
* '''Multimedia resources'''
 
−
* '''Website interactives/ links/ Geogebra Applets'''
 
−
* '''Process (How to do the activity)'''
 
−
* '''Developmental Questions (What discussion questions)'''
 
−
* '''Evaluation (Questions for assessment of the child)'''
 
−
* '''Question Corner'''
 
  
 +
=== Notes for teachers ===
  
−
===Activity No # ===
+
=== Activities ===
−
{| style="height:10px; float:right; align:center;"
+
# 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]]'''
−
|<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;">
+
# 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]
−
''[http://www.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 (How to do the activity)'''
 
−
* '''Developmental Questions (What discussion questions)'''
 
−
* '''Evaluation (Questions for assessment of the child)'''
 
−
* '''Question Corner'''
 
  
−
= Hints for difficult problems =
+
==Assessment activities for CCE==
  
−
= Project Ideas =
+
== Hints for difficult problems ==
  
−
= Math Fun =
+
== Project Ideas ==
  
−
'''Usage'''
+
== Math Fun ==
  
−
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
+
[[Category:Class 8]]
 +
[[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

Retrieved from "https://karnatakaeducation.org.in/KOER/en/index.php?title=Squares,_Square-_Roots,_Cubes_And_Cube-_Roots&oldid=36400"