Difference between revisions of "Sets"

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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Science:_History The Story of Science]
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[http://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: 5px 5px 5px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://www.karnatakaeducation.org.in/KOER/en/index.php/Science:_Philosophy Philosophy of Science]
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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:_Philosophy Philosophy of Mathematics]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Science:_Pedagogy Teaching of Science]
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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/Science:_Curriculum_and_Syllabus Curriculum and Syllabus]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Science:_Topics Topics in School Science]
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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/Textbooks#Science_-_Textbooks Textbooks]
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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/Science:_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'''].
 +
 
 +
 
 
= Concept Map =
 
= Concept Map =
 
__FORCETOC__
 
__FORCETOC__
  
−
<mm>[[set theory.mm|Flash]]</mm>
+
[[File:set theory.mm|Flash]]
  
 
= Textbook =
 
= Textbook =
 +
 +
 
To add textbook links, please follow these instructions to:  
 
To add textbook links, please follow these instructions to:  
 
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
 
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
 +
#[http://ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter02.pdf Karnataka text book for Class 10 ,Chapter 02-Sets]
 +
#[http://www.textbooksonline.tn.nic.in/Books/Std09/Std09-I-Maths-EM.pdf Tamil Nadu text book for Class 9, chapter 4 , pages 17 to 23]
  
 
= Additional information =
 
= Additional information =
 
==Useful websites==
 
==Useful websites==
 +
#[http://en.wikipedia.org/wiki/Set Wikipedia page for Set]
 +
#This web gives basic ideas about sets [http://www.mathsisfun.com/sets/sets-introduction.html/ mathsisfun.com]
 +
#Video on union and itersection of sets.
 +
{{#widget:YouTube|id=WqYQ3OakKP0}}
 +
{{#widget:YouTube|id=jAfNg3ylZAI}}
 +
{{#widget:YouTube|id=TZRBtiyVKcM}}
 +
{{#widget:YouTube|id=UtHz7qzgKMU}}
 +
#To get the videos on sets in kannada shared by Yakub Koyyur GHS Nada, [http://karnatakaeducation.org.in/KOER/index.php/ಗಣಗಳು click here]
 +
 
==Reference Books==
 
==Reference Books==
  
 +
ACTIVITY 1 :
 +
 +
1. Collect different kinds of objects.
 +
2. Put the all objects in a box.
 +
3. Calling 2 or 3 students and telling them to pick up things of same kind.
 +
[[File:activity 1 sets 1.jpg|400px]]
 +
[[File:activity 2 sets.jpg|400px]]
 +
 +
ACTIVITY2:
 +
#Put the prepared number cards in another box.                                             
 +
#Call a student and tell him to pick any 10 numbers.
 +
#Call  a student and  tell him to collect natural number
 +
#Similarly  we can call many students to come and ask them to collect odd, even numbers etc.
 +
DEVELOPING  QUESTIONS:
 +
#Can you call that mixing group of objects by a particular  name?
 +
#Does any number is repeated while collecting numbers?
 +
#What is the difference between before and after grouping the objects?
 +
 +
QUESTIONS:
 +
#Can we say that whole group of objects is a set ?
 +
#Define a set.
 +
#Give an example for a set.
 +
==============================================================
  
 
= Teaching Outlines =
 
= Teaching Outlines =
  
−
==Concept #1.Introduction to Sets==
+
==Concept #'''1.Introduction to Sets'''==
 
===Learning objectives===
 
===Learning objectives===
 +
#Differentiate between a group and a set
 +
#To identify a set
 +
#To give different examples for a set.
 +
#To find different type of set.
 +
 
===Notes for teachers===
 
===Notes for teachers===
−
===Activity No #1. ===
+
Helping the children in the identification of a set by making groups of students
 +
 
 +
===Activity No #1 Making Sets===
 +
#Mixing different kinds of objects in a box  .
 +
#Mixing different kinds of number cards in a box.
 +
 
 
{| style="height:10px; float:right; align:center;"
 
{| 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;">
 
|<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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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
|}
−
*Materials/ Resources needed
+
*Materials/ Resources needed<br>
−
*Prerequisites/Instructions, if any
+
Scales, pencils, pens, toys of  birds and animals,  different coloured  bangles. , number cards and 2 boxes.
−
*Multimedia resources
+
Required time - 20 minutes
 +
*Prerequisites/Instructions, if any<br>
 +
To be careful about glass bangles.
 +
*Multimedia resources<br>
 
*Website interactives/ links/ simulations
 
*Website interactives/ links/ simulations
 +
Click here to view explanation  about the definition of set.
 +
http://www.mathsisfun.com/sets/sets-introduction.html
 +
 
*Process/ Developmental Questions
 
*Process/ Developmental Questions
 
*Evaluation
 
*Evaluation
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''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
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*Materials/ Resources needed
 
*Materials/ Resources needed
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*Multimedia resources
 
*Multimedia resources
 
*Website interactives/ links/ simulations
 
*Website interactives/ links/ simulations
−
*Process/ Developmental Questions
+
*Process
 +
'''1st step'''
 +
#Collect different kinds of objects.
 +
#Put the all objects in a box.
 +
#Calling 2 or 3 students and telling them to pick up things of same kind.
 +
'''2nd step'''                                                                                                                                                                               
 +
#Put the prepared number cards in another box.                                             
 +
#Call a student and tell him to pick any 10 numbers.
 +
#Call  a student and  tell him to collect natural number
 +
#Similarly  we can call many students to come and ask them to collect odd, even numbers etc.
 +
 
 +
*Developmental Questions
 +
#Can you call that mixing group of objects by a particular  name?
 +
#Does any number is repeated while collecting numbers?
 +
#What is the difference between before and after grouping the objects?
 +
 
 
*Evaluation
 
*Evaluation
 +
#Can we say that whole group of objects is a set ?
 +
#Define a set.
 +
#Give an example for a set.
 +
 
*Question Corner
 
*Question Corner
  
 +
==Concept '''#2.Representation of sets.(A)Rooster method:''' ==
 +
Sets can be represented in two different ways: Rooster method and Rule method.<br>
 +
===Learning objectives===
 +
# To learn writing a set in roaster method.
 +
# To learn writing a set in rule method.
  
−
==Concept #2.Representation of sets==
 
−
Sets can be represented in two different ways.
 
−
(A)Rooster method:
 
−
===Learning objectives===
 
 
===Notes for teachers===
 
===Notes for teachers===
 +
Not all  sets can be inter-convertible from one method to other
 +
 
===Activity No #1. ===
 
===Activity No #1. ===
 
{| style="height:10px; float:right; align:center;"
 
{| 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;">
 
|<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>
+
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
|}
−
*Materials/ Resources needed
+
*Materials/ Resources needed  
 +
 
 
*Prerequisites/Instructions, if any
 
*Prerequisites/Instructions, if any
 
*Multimedia resources
 
*Multimedia resources
 +
 +
 
*Website interactives/ links/ simulations
 
*Website interactives/ links/ simulations
 +
[http://www.education.com/activity/math Fun Maths Activity]
 
*Process/ Developmental Questions
 
*Process/ Developmental Questions
 
*Evaluation
 
*Evaluation
 
*Question Corner
 
*Question Corner
 +
[http://math-only-math.com/worksheet-on-sets-in-roster-form.html| Click for activity]
  
 
===Activity No #2. ===
 
===Activity No #2. ===
 
{| style="height:10px; float:right; align:center;"
 
{| 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;">
 
|<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>
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''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
|}
 
|}
 
*Materials/ Resources needed
 
*Materials/ Resources needed
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*Question Corner
 
*Question Corner
  
−
 
+
==concept '''#2(B):Set builder method or rule method'''==
−
==concept#2(B):Set builder method or rule method
 
 
===Learning objectives===
 
===Learning objectives===
 
===Notes for teachers===
 
===Notes for teachers===
 
===Activity No #1. ===
 
===Activity No #1. ===
−
{| style="height:10px; float:right; align:center;"
+
[[sets roster method 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;">
 
−
''[http://www.karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div>
 
−
|}
 
−
*Materials/ Resources needed
 
−
*Prerequisites/Instructions, if any
 
−
*Multimedia resources
 
−
*Website interactives/ links/ simulations
 
−
*Process/ Developmental Questions
 
−
*Evaluation
 
−
*Question Corner
 
−
 
 
  
 
===Activity No #2. ===
 
===Activity No #2. ===
−
{| style="height:10px; float:right; align:center;"
+
[[Rule Method Of Sets]]
−
|<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>
 
−
|}
 
−
*Materials/ Resources needed
 
−
*Prerequisites/Instructions, if any
 
−
*Multimedia resources
 
−
*Website interactives/ links/ simulations
 
−
*Process/ Developmental Questions
 
−
*Evaluation
 
−
*Question Corner
 
−
 
 
  
 +
=Assessment activities for CCE=
 +
# This cce Activity is shared by Ramamurthi, government high school, Devalaapura,Mysore taluk [https://docs.google.com/viewer?a=v&pid=forums&srcid=MDM2NjI2NzE1NDU4MDMwMzQxMDEBMTgyNTQ0MzY3NjA3NzA3ODczMjEBOXlfbElmLXdCd0FKATAuMQEBdjI click here] to get the ativity. 
  
  
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Create a new page and type <nowiki>{{subst:Science-Content}}</nowiki> to use this template
 
Create a new page and type <nowiki>{{subst:Science-Content}}</nowiki> to use this template
 +
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[[Category:Sets]]
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[[Category:Class 8]]

Latest revision as of 10:55, 28 March 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

To add textbook links, please follow these instructions to: (Click to create the subpage)

  1. Karnataka text book for Class 10 ,Chapter 02-Sets
  2. Tamil Nadu text book for Class 9, chapter 4 , pages 17 to 23

Additional information

Useful websites

  1. Wikipedia page for Set
  2. This web gives basic ideas about sets mathsisfun.com
  3. Video on union and itersection of sets.

  1. To get the videos on sets in kannada shared by Yakub Koyyur GHS Nada, click here

Reference Books

ACTIVITY 1 :

1. Collect different kinds of objects. 2. Put the all objects in a box. 3. Calling 2 or 3 students and telling them to pick up things of same kind. Activity 1 sets 1.jpg Activity 2 sets.jpg

ACTIVITY2:

  1. Put the prepared number cards in another box.
  2. Call a student and tell him to pick any 10 numbers.
  3. Call a student and tell him to collect natural number
  4. Similarly we can call many students to come and ask them to collect odd, even numbers etc.

DEVELOPING QUESTIONS:

  1. Can you call that mixing group of objects by a particular name?
  2. Does any number is repeated while collecting numbers?
  3. What is the difference between before and after grouping the objects?

QUESTIONS:

  1. Can we say that whole group of objects is a set ?
  2. Define a set.
  3. Give an example for a set.
==================================================

Teaching Outlines

Concept #1.Introduction to Sets

Learning objectives

  1. Differentiate between a group and a set
  2. To identify a set
  3. To give different examples for a set.
  4. To find different type of set.

Notes for teachers

Helping the children in the identification of a set by making groups of students

Activity No #1 Making Sets

  1. Mixing different kinds of objects in a box .
  2. Mixing different kinds of number cards in a box.
  • Materials/ Resources needed

Scales, pencils, pens, toys of birds and animals, different coloured bangles. , number cards and 2 boxes. Required time - 20 minutes

  • Prerequisites/Instructions, if any

To be careful about glass bangles.

  • Multimedia resources
  • Website interactives/ links/ simulations

Click here to view explanation about the definition of set. http://www.mathsisfun.com/sets/sets-introduction.html

  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Activity No #2.

  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ simulations
  • Process

1st step

  1. Collect different kinds of objects.
  2. Put the all objects in a box.
  3. Calling 2 or 3 students and telling them to pick up things of same kind.

2nd step

  1. Put the prepared number cards in another box.
  2. Call a student and tell him to pick any 10 numbers.
  3. Call a student and tell him to collect natural number
  4. Similarly we can call many students to come and ask them to collect odd, even numbers etc.
  • Developmental Questions
  1. Can you call that mixing group of objects by a particular name?
  2. Does any number is repeated while collecting numbers?
  3. What is the difference between before and after grouping the objects?
  • Evaluation
  1. Can we say that whole group of objects is a set ?
  2. Define a set.
  3. Give an example for a set.
  • Question Corner

Concept #2.Representation of sets.(A)Rooster method:

Sets can be represented in two different ways: Rooster method and Rule method.

Learning objectives

  1. To learn writing a set in roaster method.
  2. To learn writing a set in rule method.

Notes for teachers

Not all sets can be inter-convertible from one method to other

Activity No #1.

  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources


  • Website interactives/ links/ simulations

Fun Maths Activity

  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Click for activity

Activity No #2.

  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ simulations
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

concept #2(B):Set builder method or rule method

Learning objectives

Notes for teachers

Activity No #1.

sets roster method activity 1

Activity No #2.

Rule Method Of Sets

Assessment activities for CCE

  1. This cce Activity is shared by Ramamurthi, government high school, Devalaapura,Mysore taluk click here to get the ativity.


Project Ideas

Fun corner

Usage

Create a new page and type {{subst:Science-Content}} to use this template

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