Difference between revisions of "Axioms, Postulates And Theorems"

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# Concept Map
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''[http://karnatakaeducation.org.in/KOER/index.php/ಸ್ವಯಂ_ಸಿದ್ಧಗಳು_,_ಆಧಾರ_ಪ್ರತಿಜ್ಞೆಗಳು_ಮತ್ತು_ಪ್ರಮೇಯಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''
# Additional Resources
 
## OER
 
### List web resources with a  brief description of what                  it contains; how it can be used and whether it can be                  by teacher/ student or both
 
### Books and journals
 
### Textbooks
 
### Syllabus documents
 
## Non-OER
 
### List web resources with a  brief description of what                  it contains; how it can be used and whether it can be                  by teacher/ student or both
 
### Books and journals
 
### Textbooks
 
### Syllabus documents (CBSE, ICSE, IGCSE etc)
 
# Learning Objectives
 
# Teaching Outlines
 
## Concept 1:
 
### Briefly describe the concept (2-3 sentences)
 
## Activities
 
### Page name - Name of activity
 
### Template
 
#### Objective of activity
 
#### Pre-requisites/ prior competencies
 
#### Resources needed (digital and non-digital)
 
#### How to do the activity (both hands-on steps and                    discussion questions)
 
#### Evaluation at the end of the activity
 
## Solved problems/ key questions (earlier was hints for                problems)
 
# Projects (can include math lab/ science lab/ language              lab)
 
# Assessments<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/ಸ್ವಯಂ_ಸಿದ್ಧಗಳು_,_ಆಧಾರ_ಪ್ರತಿಜ್ಞೆಗಳು_ಮತ್ತು_ಪ್ರಮೇಯಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div>
 
 
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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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==== OER ====
 
==== OER ====
# List web resources with a  brief description of what                  it contains; how it can be used and whether it can be                  by teacher/ student or both
 
# Books and journals
 
# Textbooks
 
# Syllabus documents
 
 
 
==== Non-OER ====
 
==== Non-OER ====
  
 
===== Web resources =====
 
===== Web resources =====
# {{#widget:YouTube|id=bJVKaGqiKoE}}    {{#widget:YouTube|id=UgfSwlqi4Qg}}  {{#widget:YouTube|id=P3AOoLbA3us}};  is an introductory video on axioms, postulates angles and lines
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# Video on angles - http://study.com/academy/lesson/types-of-angles-vertical-corresponding-alternate-interior-others.html  
# Video on angles - http://study.com/academy/lesson/types-of-angles-vertical-corresponding-alternate-interior-others.html
 
 
# Additional information on axioms and postulates
 
# Additional information on axioms and postulates
 
## http://www.themathpage.com/abooki/first.htm
 
## http://www.themathpage.com/abooki/first.htm
 
## http://www.friesian.com/space.htm
 
## http://www.friesian.com/space.htm
 
# __FORCETOC__To learn types of angles [https://www.mathsisfun.com/angles.html click here]
 
# __FORCETOC__To learn types of angles [https://www.mathsisfun.com/angles.html click here]
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#The following videos provide an introduction to axioms, postulates and lines
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|{{#widget:YouTube|id=bJVKaGqiKoE}}
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|{{#widget:YouTube|id=UgfSwlqi4Qg}}
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|{{#widget:YouTube|id=P3AOoLbA3us}}
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===Teaching Outlines===
 
===Teaching Outlines===
  
==== Concept 1 - Introduction to planar geometry ====
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==== Concept 1 - Introduction to geometry ====
 
It is useful to discuss with students  about Euclid and his great contribution to Mathematics. The below two statements helps to understand and prove the theorems in geometry.  Also, through a combination of activities, help the students understand results in the nature of axioms and postulates.
 
It is useful to discuss with students  about Euclid and his great contribution to Mathematics. The below two statements helps to understand and prove the theorems in geometry.  Also, through a combination of activities, help the students understand results in the nature of axioms and postulates.
 
# Certain statements which are valid in all branches of mathematics whose validity is taken for granted without seeking mathematical proofs is called axioms
 
# Certain statements which are valid in all branches of mathematics whose validity is taken for granted without seeking mathematical proofs is called axioms
 
# Some statement which are taken for granted in a particular branches of mathematics is called postulates.
 
# Some statement which are taken for granted in a particular branches of mathematics is called postulates.
  
=====Activity 1- Introduction to angles  =====
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===== Activities =====
=====Activity 2 - Introduction to pairs of angles =====
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======Activity 1- [[Introduction to angles]] ======
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======Activity 2 - Introduction to pairs of angles ======
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===== Solved problems =====
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==== Concept 2 -  Points, lines and angles ====
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===== Activities =====
  
==== Concept 2 - ====
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======Activity 1- [[Introduction to angles]]  ======
* '''s for assessment of the child)'''
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======Activity 2 - Introduction to pairs of angles ======

Latest revision as of 11:40, 28 August 2018

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

While creating a resource page, please click here for a resource creation checklist.

Concept Map

Additional resources

OER

Non-OER

Web resources
  1. Video on angles - http://study.com/academy/lesson/types-of-angles-vertical-corresponding-alternate-interior-others.html
  2. Additional information on axioms and postulates
    1. http://www.themathpage.com/abooki/first.htm
    2. http://www.friesian.com/space.htm
  3. To learn types of angles click here
  4. The following videos provide an introduction to axioms, postulates and lines

Teaching Outlines

Concept 1 - Introduction to geometry

It is useful to discuss with students about Euclid and his great contribution to Mathematics. The below two statements helps to understand and prove the theorems in geometry. Also, through a combination of activities, help the students understand results in the nature of axioms and postulates.

  1. Certain statements which are valid in all branches of mathematics whose validity is taken for granted without seeking mathematical proofs is called axioms
  2. Some statement which are taken for granted in a particular branches of mathematics is called postulates.
Activities
Activity 1- Introduction to angles
Activity 2 - Introduction to pairs of angles
Solved problems

Concept 2 - Points, lines and angles

Activities
Activity 1- Introduction to angles
Activity 2 - Introduction to pairs of angles