Difference between revisions of "Axioms, Postulates And Theorems"
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| − | <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;"> | + | # Concept Map |
| + | # 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> | ''[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''']. | ||
| − | = Concept Map = | + | === Concept Map === |
| − | |||
| − | + | === 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 ==== |
| − | |||
| − | {{#widget:YouTube|id=bJVKaGqiKoE}} {{#widget:YouTube|id=UgfSwlqi4Qg}} {{#widget:YouTube|id=P3AOoLbA3us}} | + | ===== Web resources ===== |
| − | + | # {{#widget:YouTube|id=bJVKaGqiKoE}} {{#widget:YouTube|id=UgfSwlqi4Qg}} {{#widget:YouTube|id=P3AOoLbA3us}}; is an introductory video on axioms, postulates angles and lines | |
| − | # | + | # Video on angles - http://study.com/academy/lesson/types-of-angles-vertical-corresponding-alternate-interior-others.html |
| − | # | + | # Additional information on axioms and postulates |
| − | # | + | ## http://www.themathpage.com/abooki/first.htm |
| − | + | ## http://www.friesian.com/space.htm | |
| − | + | # __FORCETOC__To learn types of angles [https://www.mathsisfun.com/angles.html click here] | |
| − | = Teaching Outlines = | + | ===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. |
| − | + | # 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. | |
| − | |||
| − | # | ||
| − | # | ||
| − | ===Activity | + | =====Activity 1- Introduction to angles ===== |
| − | + | =====Activity 2 - Introduction to pairs of angles ===== | |
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| − | == | + | ==== Concept 2 - ==== |
| − | + | * '''s for assessment of the child)''' | |
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Revision as of 05:53, 16 August 2018
- Concept Map
- 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)
- OER
- 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)
- Concept 1:
- Projects (can include math lab/ science lab/ language lab)
- Assessments
While creating a resource page, please click here for a resource creation checklist.
Concept Map
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
Web resources
- ; is an introductory video on axioms, postulates angles and lines
- Video on angles - http://study.com/academy/lesson/types-of-angles-vertical-corresponding-alternate-interior-others.html
- Additional information on axioms and postulates
- To learn types of angles click here
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.
- 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.
Activity 1- Introduction to angles
Activity 2 - Introduction to pairs of angles
Concept 2 -
- s for assessment of the child)