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Line 1: − <!-- This portal was created using subst:box portal skeleton --> − <!-- 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'''].+ − === Concept Map ===+ − − === 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 − {| class="wikitable" − | − | − | − |- − |{{#widget:YouTube|id=bJVKaGqiKoE}} − |{{#widget:YouTube|id=UgfSwlqi4Qg}} − |{{#widget:YouTube|id=P3AOoLbA3us}} − |- − | − | − | − |} − *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 =====
Axioms, Postulates And Theorems (view source)
Revision as of 08:16, 29 October 2019
, 08:16, 29 October 2019added Category:Introduction to Euclid's Geometry using HotCat
''[http://karnatakaeducation.org.in/KOER/index.php/ಸ್ವಯಂ_ಸಿದ್ಧಗಳು_,_ಆಧಾರ_ಪ್ರತಿಜ್ಞೆಗಳು_ಮತ್ತು_ಪ್ರಮೇಯಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''
''[http://karnatakaeducation.org.in/KOER/index.php/ಸ್ವಯಂ_ಸಿದ್ಧಗಳು_,_ಆಧಾರ_ಪ್ರತಿಜ್ಞೆಗಳು_ಮತ್ತು_ಪ್ರಮೇಯಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''
__FORCETOC__
[[Category:Introduction to Euclid's Geometry]]