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The below two statements helps to understand and prove the theorems in geometry. − # 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 # === − − − ''[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;" − − ''[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''' − − ==Concept #== − ===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;" − − ''[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;" − − ''[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''' − + − + + + + − + − '''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 06:18, 16 August 2018
, 06:18, 16 August 2018no edit summary
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= Concept Map =
=== Concept Map ===
=== Additional resources ===
= Textbook =
==== OER ====
==== Non-OER ====
=Additional Information=
===== Web resources =====
# 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
==Useful websites==
## http://www.friesian.com/space.htm
# To know about axioms and postulates [http://www.themathpage.com/abooki/first.htm click here]
# __FORCETOC__To learn types of angles [https://www.mathsisfun.com/angles.html click here]
# To know more about axioms and postulates [http://www.friesian.com/space.htm click here]
#The following videos provide an introduction to axioms, postulates and lines
# To learn types of angles [https://www.mathsisfun.com/angles.html click here]
{| class="wikitable"
# To see the videos on angles [http://study.com/academy/lesson/types-of-angles-vertical-corresponding-alternate-interior-others.html click here]
|{{#widget:YouTube|id=bJVKaGqiKoE}}
|-
|{{#widget:YouTube|id=UgfSwlqi4Qg}}
|-
|{{#widget:YouTube|id=P3AOoLbA3us}}
{| 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;">
|<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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= Hints for difficult problems =
===Teaching Outlines===
= Project Ideas =
==== 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.
= Math Fun =
===== Activities =====
======Activity 1- Introduction to angles ======
======Activity 2 - Introduction to pairs of angles ======
===== Solved problems =====