# Difference between revisions of "Axioms, Postulates And Theorems"

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− | + | ''[http://karnatakaeducation.org.in/KOER/index.php/ಸ್ವಯಂ_ಸಿದ್ಧಗಳು_,_ಆಧಾರ_ಪ್ರತಿಜ್ಞೆಗಳು_ಮತ್ತು_ಪ್ರಮೇಯಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]'' | |

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− | ''[http://karnatakaeducation.org.in/KOER/index.php/ಸ್ವಯಂ_ಸಿದ್ಧಗಳು_,_ಆಧಾರ_ಪ್ರತಿಜ್ಞೆಗಳು_ಮತ್ತು_ಪ್ರಮೇಯಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]'' | ||

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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''']. | ||

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==== OER ==== | ==== OER ==== | ||

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==== 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 | ||

## http://www.themathpage.com/abooki/first.htm | ## http://www.themathpage.com/abooki/first.htm | ||

## http://www.friesian.com/space.htm | ## http://www.friesian.com/space.htm | ||

# __FORCETOC__To learn types of angles [https://www.mathsisfun.com/angles.html click here] | # __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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+ | |{{#widget:YouTube|id=bJVKaGqiKoE}} | ||

+ | |{{#widget:YouTube|id=UgfSwlqi4Qg}} | ||

+ | |{{#widget:YouTube|id=P3AOoLbA3us}} | ||

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===Teaching Outlines=== | ===Teaching Outlines=== | ||

− | ==== Concept 1 - Introduction to | + | ==== 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. | 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 | # 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. | # Some statement which are taken for granted in a particular branches of mathematics is called postulates. | ||

− | =====Activity 1- Introduction to angles ===== | + | ===== Activities ===== |

− | =====Activity 2 - Introduction to pairs of angles ===== | + | |

+ | ======Activity 1- [[Introduction to angles]] ====== | ||

+ | ======Activity 2 - Introduction to pairs of angles ====== | ||

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+ | ===== Solved problems ===== | ||

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+ | ==== Concept 2 - Points, lines and angles ==== | ||

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+ | ===== Activities ===== | ||

− | ==== | + | ======Activity 1- [[Introduction to angles]] ====== |

− | + | ======Activity 2 - Introduction to pairs of angles ====== |

## Latest revision as of 11:40, 28 August 2018

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

## Contents

### 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
- To learn types of angles click here
- The following videos provide an introduction to axioms, postulates and lines

### 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.