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Line 1: − + − <!-- BANNER ACROSS TOP OF PAGE -->+ − {| 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; "| − [http://www.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://www.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://www.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; "| − [http://www.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; "| − [http://www.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://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank] − |} − While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist''']. − __FORCETOC__+ − <mm>[[Trignometry_mm.mm|Flash]]</mm> − + + − + + + − + − + + + + + − + − + Line 51:
Line 40: − + − For History of Trigonometry [http://en.wikipedia.org/wiki/History_of_trigonometry click here]<br>+ − + − For History of Trigonometry slideshow [http://www.slideshare.net/rashidivya/trigonometry-maths-school-ppt-2 click here] − + + + + − + − + + − + + + + − + − #Activity No #1+ − + + − + − ''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''+ + + + + + + − + − #Activity No #2 − + Line 101:
Line 102: + + + + + + + + + − '''Usage''' + − + − Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
→Useful websites
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<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#ffffff; vertical-align:top; text-align:center; padding:5px;">
''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ತ್ರಿಕೋನಮಿತಿ ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div>
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
= Concept Map =
= Concept Map =
[[File:TRIGNOMETRY.mm|Flash]]
= Textbook=
= Textbook=
For NCERT Text book Please click [http://www.ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=ps-14 here]<br>For TAMILNAADU Text book click [http://www.textbooksonline.tn.nic.in/Books/Std10/Std10-Maths-EM-1.pdf here] and [http://www.textbooksonline.tn.nic.in/Books/Std09/Std09-II-Maths-EM.pdf here]
#[http://ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter12.pdf Karnataka text book for Class 10, Chapter 12 - Trigonometry]
For NCERT Text book Please click [http://www.ncert.nic.in/NCERTS/textbook/textbook.htm?jemh1=ps-14 here]<br>For Tamil Nadu Text book click [http://www.textbooksonline.tn.nic.in/Books/Std10/Std10-Maths-EM-1.pdf here] and [http://www.textbooksonline.tn.nic.in/Books/Std09/Std09-II-Maths-EM.pdf here]
=Additional Information=
=Additional Information=
==Useful websites==
==Useful websites==
# Trigonometry on wikipedia click [http://en.wikipedia.org/wiki/Trigonometry here]
#To get Yakub Koyyur GHS Nada videos on Trigonometry in Kannada [http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ತ್ರಿಕೋನಮಿತಿ click here]
# Trigonometry on Wikipedia click [http://en.wikipedia.org/wiki/Trigonometry here]
#[https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/basic-trigonometry| Khan academy trigonometry video]
#For more about trigonometry click [http://www.sosmath.com/trig/trig.html here]
#For more about trigonometry click [http://www.sosmath.com/trig/trig.html here]
#[http://www.mathsisfun.com/algebra/trigonometry.html - fundamentalconcept of angle in trignometry] this web describes trignometrical functions
#https://www.khanacademy.org/math/trigonometry| Trigonometry: khan academy
# video on trignometry from youtube
#[http://www.mathsisfun.com/algebra/trigonometry.html - fundamental concept of angle in trigonometry] this web describes trigonometrical functions
# Videos on Trigonometry from YouTube for basic ideas
{{#widget:YouTube|id=T8B8Tcz8kog}}
{{#widget:YouTube|id=T8B8Tcz8kog}}
{{#widget:YouTube|id=1I7Jp62sGXM}}
{{#widget:YouTube|id=1I7Jp62sGXM}}
{{#widget:YouTube|id=0UM5xzerIC0}}
#Slide share about trigonometry and its application
{{#widget:Iframe |url=http://www.slideshare.net/slideshow/embed_code/32928126 |width=450 |height=360 |border=1 }} {{#widget:Iframe |url=http://www.slideshare.net/slideshow/embed_code/22551159 |width=450 |height=360 |border=1 }} {{#widget:Iframe |url=http://www.slideshare.net/slideshow/embed_code/32096288 |width=450 |height=360 |border=1 }}
==Reference Books==
==Reference Books==
For more detailof trigonometry see these trigonometry reference books.
For more details of trigonometry see these trigonometry reference books.
#Text Book of Mathematics Preuniversity Karnataka Government
#Text Book of Mathematics Pre university Karnataka Government
#Trigonometry, I.M. Gelfand, Mark Saul
#Trigonometry, I.M. Gelfand, Mark Saul
#Trigonometry Refresher (Dover Books on Mathematics), A. Albert Klaf, Mathematics
#Trigonometry Refresher (Dover Books on Mathematics), A. Albert Klaf, Mathematics
#Understanding the contribution of Indians in the field of Trigonometry
#Understanding the contribution of Indians in the field of Trigonometry
===Notes for teachers===
===Notes for teachers===
Give information about the contribution of Indians in the field of Trigonometry to your children, it is developes interest in development of trigonometry.
Give information about the contribution of Indians in the field of Trigonometry to your children, it would help to develop an interest in development of Trigonometry.
===Activities===
===Activities===
Activity No.1
Activity No.1
For History of Trigonometry [http://en.wikipedia.org/wiki/History_of_trigonometry click here] <br>Activity No.2
Activity No.2
For History of Trigonometry slide show [http://www.slideshare.net/rashidivya/trigonometry-maths-school-ppt-2 click here]
=='''Angle of rotation'''==
=='''Angle Measurement'''==
===Learning objectives===
===Learning objectives===
* Understanding the units of measurement of an angle
* Understanding the interconversion units of measurement of an angle
===Notes for teachers===
===Notes for teachers===
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''
===Activities===
===Activities===
#Activity No #1
#Activity No #1[[trigonometry_Angle Measurement _activity 1 | Introducing units of angle measurements]]
#Activity No #2
#Activity No #2[[trigonometry_Angle Measurement _activity 2 | Interconversion between degree measurement and angle measurement]]
#Activity No #3 [[Angles of elevation and depression|Angle of elevation and angle of depression]]
==''' Introduction to Trignometric functions'''==
==''' Introduction to Trigonometric Ratios '''==
===Learning objectives===
===Learning objectives===
*
* Identifying the opposite side, adjacent side, and hypotenuse of a right -angle triangle.
* Understanding the concept of different Trigonometric ratios.
===Notes for teachers===
===Notes for teachers===
''These are short notes that the teacher wants to share about the concept, any locally relevant information, specific instructions on what kind of methodology used and common misconceptions/mistakes.''
'' Use property of similar triangle theorem for two similar right-angled triangles during development of trigonometric ratios. ''
===Activities===
===Activities===
[[trigonometry_Introduction to Trigonometric Ratios _activity 1 | Introduction to Trigonometric Ratios]]
#Activity No #2
#Introduction to Trigonometry - [[Introduction to Trigonometry|Click here]]
#Activity1_Basic Trigonometric ratios - [[Activity1 Basic Trignometric Ratios|click here]]
=='''Trignometric ratio with angles'''==
=='''Trigonometric ratio with angles'''==
===Learning objectives===
===Learning objectives===
===Notes for teachers===
===Notes for teachers===
Many teachers and students feel that Trigonometry is a difficult to understand subject. One reason for this is that Trigonometry is multi-concept based. A student should know following concepts well
#of measuring-angles, triangle and right-angled triangle,
#Pythagoras theorem,
#ratios,
#proportionality
#Identities.
#Trigonometry also require students insight, visualization, and perceptual ability.
===Activities===
===Activities===
#Activity No #1
#Activity No #1- Trigonometry ratios - [[Trigonometry ratios|Click here]]
=='''Aplication of Trignometry'''==
=='''Application of Trigonometry'''==
===Learning objectives===
===Learning objectives===
===Notes for teachers===
===Notes for teachers===
=='''Problem-1'''==
=='''Problem-1'''==
'''prove that''' <math>\frac{1-\tan^2 A}{1+\tan^2 A}=1-\sin^2 A</math><br>
'''prove that''' <math>\frac{1-\tan^2 A}{1+\tan^2 A}=1-\sin^2 A</math><br>
Solution of this problem [[Class10_trigonometry_problems#Problem-1| click here]]
Solution of this problem [[Class10_trigonometry_problems#Problem-1| click here]]
= Project Ideas =
= Project Ideas =
=='''PROJECT 1.'''==
'''Calculation of angle of elevation'''<br>Trigonometry is around us.In this project ,we will apply our knowledge of trigonometry to shadows in order to calculate the angle of elevation to the sun at different times of day.<br>
''' Procedure of Project:''' To calculate the angle of elevation of the sun go through the procedure <br>
*Measure your height and the length of the shadow you cast at two different times of day [at least 3 hours apart]
*Record the times and measurements [with units]
*Draw the right triangle in this scenario.
*Label the sides of your drawing with your measurements and angle of elevation
*Solve for the angle of elevation while clearly showing all your steps<br> '''Note for teachers'''<br> Don't forget that you need to do the procedure above twice two different times in a day.
= Math Fun =
= Math Fun =
[[Category:Class 10]]
[[Category:Trigonometry]]