3,913
edits
Changes
Jump to navigation
Jump to search
Line 1:
Line 1: − + + + + + + + + + + + + + + + + + + + + + + + + + + + − {| 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; "| − [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:_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; "| − [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; "| − [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; "| − [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; "| − [http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank] − |} − + − [[File: Axioms, postulates and theorems.mm|Flash]] − __FORCETOC__+ − + − To add textbook links, please follow these instructions to: + − ([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])+ + + − + − this videos on axioms, postulates angles and lines − + − ==Useful websites==+ − + − + − + − # To see the videos on angles [http://study.com/academy/lesson/types-of-angles-vertical-corresponding-alternate-interior-others.html click here]+ − ==Reference Book==+ − + − + − + − # + − ===Notes for teachers===+ − First teacher can talk about Euclid and his great contribution to Mathematics. The below two statements helps to understand and prove the theorems in geometry. − − − + − {| 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''' − + − {| 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''' − − − ===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.'' − − ===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''' − − − ===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''' − − * '''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 = − − = Project Ideas = − − = Math Fun = − − '''Usage''' − − Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
Axioms, Postulates And Theorems (view source)
Revision as of 05:53, 16 August 2018
, 05:53, 16 August 2018no edit summary
<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>
<!-- 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 -->
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 ===
= Textbook =
==== 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
=Additional Information=
==== 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
# To know about axioms and postulates [http://www.themathpage.com/abooki/first.htm click here]
# Video on angles - http://study.com/academy/lesson/types-of-angles-vertical-corresponding-alternate-interior-others.html
# To know more about axioms and postulates [http://www.friesian.com/space.htm click here]
# Additional information on axioms and postulates
# To learn types of angles [https://www.mathsisfun.com/angles.html click here]
## 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 # Axioms and postulates==
==== Concept 1 - Introduction to planar geometry ====
===Learning objectives===
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.
# 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 No # ===
=====Activity 1- Introduction to angles =====
=====Activity 2 - Introduction to pairs of angles =====
===Activity No # ===
==== Concept 2 - ====
* '''s for assessment of the child)'''
==Concept #==
* '''Multimedia resources'''