Difference between revisions of "Axioms, Postulates And Theorems"

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(Concept 1 - Introduction to planar geometry)
(Web resources)
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===== 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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{| class="wikitable"
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|{{#widget:YouTube|id=bJVKaGqiKoE}}
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|-
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|{{#widget:YouTube|id=UgfSwlqi4Qg}}
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|-
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|{{#widget:YouTube|id=P3AOoLbA3us}}
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===Teaching Outlines===
 
===Teaching Outlines===

Revision as of 05:59, 16 August 2018

  1. Concept Map
  2. Additional Resources
    1. OER
      1. 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
      2. Books and journals
      3. Textbooks
      4. Syllabus documents
    2. Non-OER
      1. 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
      2. Books and journals
      3. Textbooks
      4. Syllabus documents (CBSE, ICSE, IGCSE etc)
  3. Learning Objectives
  4. Teaching Outlines
    1. Concept 1:
      1. Briefly describe the concept (2-3 sentences)
    2. Activities
      1. Page name - Name of activity
      2. Template
        1. Objective of activity
        2. Pre-requisites/ prior competencies
        3. Resources needed (digital and non-digital)
        4. How to do the activity (both hands-on steps and discussion questions)
        5. Evaluation at the end of the activity
    3. Solved problems/ key questions (earlier was hints for problems)
  5. Projects (can include math lab/ science lab/ language lab)
  6. Assessments

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Concept Map

Additional resources

OER

  1. 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
  2. Books and journals
  3. Textbooks
  4. Syllabus documents

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 planar 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 =====
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