Difference between revisions of "Axioms, Postulates And Theorems"

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=== Concept Map ===
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[[Category:Introduction to Euclid's Geometry]]
 
 
=== Additional resources ===
 
 
 
==== OER ====
 
==== Non-OER ====
 
* 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
 
## http://www.friesian.com/space.htm
 
# __FORCETOC__To learn types of angles [https://www.mathsisfun.com/angles.html click here]
 
#The following videos provide an introduction to axioms, postulates and lines
 
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*Books and journals
 
*Textbooks:
 
**Karnataka Govt Text book – Class 8 : [http://ktbs.kar.nic.in/New/website%20textbooks/class8/8th-kannada-maths-1.pdf Part 1] , [http://ktbs.kar.nic.in/New/website%20textbooks/class8/8th-kannada-maths-2.pdf Part 2]
 
*Syllabus documents (CBSE, ICSE, IGCSE etc)
 
 
 
=== Learning Objectives ===
 
 
 
===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.
 
# 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.
 
 
 
==== Concept 2 - Euclid' Axioms ====
 
 
 
===== Activities =====
 
 
 
====== [[Axiom 1: Things which are equal to the same thing are equal to one another|Things which are equal to the same thing are equal to one another]] ======
 
 
 
====== '''[[Axiom 2 and 3: If equals are added or subtracted to equals, the wholes are equal|If equals are added or subtracted to equals, the wholes are equal]]''' ======
 
 
 
====== '''[[Axiom 4: Things which coincide with one another are equal to one another|Things which coincide with one another are equal to one another]]''' ======
 
 
 
====== [[Axiom 5: The whole is greater than the part|The whole is greater than the part]] ======
 
[[Introduction to angles]]
 
 
 
Introduction to pairs of angles
 
 
 
Solved problems
 
 
 
Concept 3 -  Points, lines and angles
 
 
 
===== Activities =====
 

Latest revision as of 13:46, 29 October 2019