Difference between revisions of "Axioms, Postulates And Theorems"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
Line 11: Line 11:
 
==== OER ====
 
==== OER ====
 
==== Non-OER ====
 
==== Non-OER ====
 
+
* Web resources
===== Web resources =====
 
 
# Video on angles - http://study.com/academy/lesson/types-of-angles-vertical-corresponding-alternate-interior-others.html  
 
# Video on angles - http://study.com/academy/lesson/types-of-angles-vertical-corresponding-alternate-interior-others.html  
 
# Additional information on axioms and postulates
 
# Additional information on axioms and postulates
Line 32: Line 31:
 
|
 
|
 
|}
 
|}
 +
*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===
 
===Teaching Outlines===
Line 42: Line 47:
 
===== Activities =====
 
===== Activities =====
  
======Activity 1- [[Introduction to angles]] ======
+
======Concept 2 -   ======
======Activity 2 - Introduction to pairs of angles ======
+
 
 +
===== Activities =====
 +
 
 +
====== [[Introduction to angles]] ======
 +
 
 +
======Introduction to pairs of angles ======
  
 
===== Solved problems =====
 
===== Solved problems =====
  
==== Concept 2 -  Points, lines and angles ====
+
==== Concept 3 -  Points, lines and angles ====
  
 
===== Activities =====
 
===== Activities =====
 
======Activity 1- [[Introduction to angles]]  ======
 
======Activity 2 - Introduction to pairs of angles ======
 

Revision as of 09:58, 24 April 2019

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

While creating a resource page, please click here for a resource creation checklist.

Concept Map

Additional resources

OER

Non-OER

  • Web resources
  1. Video on angles - http://study.com/academy/lesson/types-of-angles-vertical-corresponding-alternate-interior-others.html
  2. Additional information on axioms and postulates
    1. http://www.themathpage.com/abooki/first.htm
    2. http://www.friesian.com/space.htm
  3. To learn types of angles click here
  4. The following videos provide an introduction to axioms, postulates and lines
  • Books and journals
  • Textbooks:
  • 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.

  1. Certain statements which are valid in all branches of mathematics whose validity is taken for granted without seeking mathematical proofs is called axioms
  2. Some statement which are taken for granted in a particular branches of mathematics is called postulates.
Activities
Concept 2 -
Activities
Introduction to angles
Introduction to pairs of angles
Solved problems

Concept 3 - Points, lines and angles

Activities