Difference between revisions of "Basics of Geometry"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
 
(11 intermediate revisions by 3 users not shown)
Line 1: Line 1:
−
<!-- This portal was created using subst:box portal skeleton  -->
+
<!-- This portal was created using subst:box portal skeleton  -->''[http://karnatakaeducation.org.in/KOER/index.php/%E0%B2%B0%E0%B3%87%E0%B2%96%E0%B2%BE%E0%B2%97%E0%B2%A3%E0%B2%BF%E0%B2%A4%E0%B2%A6_%E0%B2%AA%E0%B2%B0%E0%B2%BF%E0%B2%9A%E0%B2%AF ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''<!--        http://karnatakaeducation.org.in/KOER/index.php/ರೇಖಾಗಣಿತದ_ಪರಿಚಯ       -->
−
<!--        BANNER ACROSS TOP OF PAGE       -->
 
 
{| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
 
{| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"
 
|-
 
|-
−
|style="width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
+
| style="width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
−
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
+
| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]
−
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
+
| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
−
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
+
| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
−
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
+
| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
−
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
+
| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
−
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|
+
| style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " |
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
 
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
 
|}
 
|}
Line 20: Line 19:
  
 
= Concept Map =
 
= Concept Map =
−
<mm>[[Geometry.mm|Flash]]</mm>
+
[[File:Geometry.mm|Flash]]
 +
 
 
__FORCETOC__
 
__FORCETOC__
 
= Textbook =
 
= Textbook =
−
To add textbook links, please follow these instructions to:  
+
To add textbook links, please follow these instructions to: ([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
−
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])
+
#[http://ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter13.pdf Karnataka text book for Class 10, Chapter 13 - Basic Geometry]
−
 
 
 
=Additional Information=
 
=Additional Information=
 
==Useful websites==
 
==Useful websites==
 +
#[http://www.onlinemathlearning.com/basic-geometry.html Very Basic concepts on Geometry]
 +
#[http://www.msc.uky.edu/droyster/courses/fall11/MA341/Classnotes/Chapter%2001-The%20Origins%20of%20Geometry.pdf origin of geometry]
 +
In addition to basic ideas there are videos.
 +
#[http://www.msc.uky.edu/droyster/courses/fall11/MA341/Classnotes/Chapter%2001-The%20Origins%20of%20Geometry.pdf origin of geometry]
 
==Reference Books==
 
==Reference Books==
  
Line 35: Line 38:
 
===Learning objectives===
 
===Learning objectives===
 
===Notes for teachers===
 
===Notes for teachers===
−
===Activity No # ===
+
===Activity No 1 : [[Angles formed when a transversal intersects parallel lines|Angles formed when a transversal intersects parallel line]]   ===
−
{| 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;">
 
−
''[http://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/ Developmental Questions
 
−
*Evaluation
 
−
*Question Corner
 
−
 
 
−
===Activity No # ===
 
−
{| 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;">
 
−
''[http://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/ Developmental Questions
 
−
*Evaluation
 
−
*Question Corner
 
−
 
 
 
==Concept #2 ==
 
==Concept #2 ==
 
===Learning objectives===
 
===Learning objectives===
Line 124: Line 100:
 
*Evaluation
 
*Evaluation
 
*Question Corner
 
*Question Corner
−
 
  
  
Line 133: Line 108:
  
 
= Math Fun =
 
= Math Fun =
 +
==Teachers Corner==
 +
===GeoGebra Contributions===
 +
#The GeoGebra file below demonstrates properties of consecutive interior angles
 +
##consecutive interior angles http://karnatakaeducation.org.in/KOER/Maths/consecutive_angles.html
 +
##Download ggb file here http://karnatakaeducation.org.in/KOER/Maths/consecutive_angles.ggb
 +
##See a video to understand this better http://www.youtube.com/watch?v=cbMwDB1A1rA
  
−
'''Usage'''
+
#The GeoGebra file below demonstrates that corresponding angles are congruent
 +
##corresponding angles http://karnatakaeducation.org.in/KOER/Maths/Parallel_lines.html
 +
##Download ggb file here http://karnatakaeducation.org.in/KOER/Maths/Parallel_lines.ggb
 +
##See a video to understand this better http://www.youtube.com/watch?v=hFIjoDPxPdk
  
−
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
+
[[Category:Basics of Geometry]]
−
--[[User:Ranjani|Ranjani]] ([[User talk:Ranjani|talk]]) 02:21, 12 September 2013 (PDT)
 

Latest revision as of 16:59, 19 April 2020

ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ

The Story of Mathematics

Philosophy of Mathematics

Teaching of Mathematics

Curriculum and Syllabus

Topics in School Mathematics

Textbooks

Question Bank

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

Concept Map

[maximize]


Textbook

To add textbook links, please follow these instructions to: (Click to create the subpage)

  1. Karnataka text book for Class 10, Chapter 13 - Basic Geometry

Additional Information

Useful websites

  1. Very Basic concepts on Geometry
  2. origin of geometry

In addition to basic ideas there are videos.

  1. origin of geometry

Reference Books

Teaching Outlines

Concept #1

Learning objectives

Notes for teachers

Activity No 1 : Angles formed when a transversal intersects parallel line

Concept #2

Learning objectives

Notes for teachers

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Concept #3

Learning objectives

Notes for teachers

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner

Activity No #

  • Estimated Time
  • Materials/ Resources needed
  • Prerequisites/Instructions, if any
  • Multimedia resources
  • Website interactives/ links/ / Geogebra Applets
  • Process/ Developmental Questions
  • Evaluation
  • Question Corner


Hints for difficult problems

Project Ideas

Math Fun

Teachers Corner

GeoGebra Contributions

  1. The GeoGebra file below demonstrates properties of consecutive interior angles
    1. consecutive interior angles http://karnatakaeducation.org.in/KOER/Maths/consecutive_angles.html
    2. Download ggb file here http://karnatakaeducation.org.in/KOER/Maths/consecutive_angles.ggb
    3. See a video to understand this better http://www.youtube.com/watch?v=cbMwDB1A1rA
  1. The GeoGebra file below demonstrates that corresponding angles are congruent
    1. corresponding angles http://karnatakaeducation.org.in/KOER/Maths/Parallel_lines.html
    2. Download ggb file here http://karnatakaeducation.org.in/KOER/Maths/Parallel_lines.ggb
    3. See a video to understand this better http://www.youtube.com/watch?v=hFIjoDPxPdk
Retrieved from "https://karnatakaeducation.org.in/KOER/en/index.php?title=Basics_of_Geometry&oldid=33496"