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Line 37: − + + + + + + − + − + − ===Quiz Websites===+ − + − + + + + + + + + + − === video on progressions from youtube===+ − {{#widget:YouTube|id=cZktajOmonQ}}+ − + + + + + + + + + + + − ''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.''+ + + − + − For Arithmetic Progressions SUM Derivation of formula[http://www.youtube.com/watch?v=xhah3xwVtSU click here]<br>+ − #Activity No #2+ + + + + − ''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.''+ + + + − + − + − − + − Please click[http://karnatakaeducation.org.in/KOER/en/index.php/Class10_Progressions here\] here for the solution. − + + + + + + + + +
→Hints for difficult problems
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''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ಶ್ರೇಢಿಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div>
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]
[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:_Philosophy Philosophy of Mathematics]
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[http://www.karnatakaeducation.
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
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org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
[http://www.karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]
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= Concept Map =
= Concept Map =
__FORCETOC__
__FORCETOC__
[[File:PROGRESSIONS.mm|Flash]]
= 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])<br>
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])<br>
#[http://ktbs.kar.nic.in/New/Textbooks/class-x/english/maths/class-x-english-maths-chapter03.pdf Karnataka textbook for class 10 Chapter 3 -Progressions]
#[http://www.textbooksonline.tn.nic.in/Books/Std10/Std10-Maths-KM-1.pdf Tamilnadu textbook for class 10 chapter 4 pages : 34 to 67]<br>
#[http://www.textbooksonline.tn.nic.in/Books/Std10/Std10-Maths-KM-1.pdf Tamilnadu textbook for class 10 chapter 4 pages : 34 to 67]<br>
#[http://gujarat-education.gov.in/textbook/Images/maths10-eng/chap5.pdf Gujarat textbook for class 10 : Chapter 5 Arithmetic progression]<br>
#[http://gujarat-education.gov.in/textbook/Images/maths10-eng/chap5.pdf Gujarat textbook for class 10 : Chapter 5 Arithmetic progression]<br>
=Additional Information=
=Additional Information=
==Useful websites==
==Useful websites==
#[http://www.mathsisfun.com/numberpatterns.html Common Number patterns]
#[http://www.davidparker.com/janine/mathpage/patterns.html Recognising Number Patterns]
#[http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks3/maths/matchsticks_patterns/ Match Sticks Activity]
#[http://telia.hubpages.com/hub/CONTINUATION-OF-FINDING-THE-Nth-TERM-USING-POWER-AND-FRACTIONS FIND THE Nth TERM USING "POWER" AND "FRACTIONS"]
#[http://telia.hubpages.com/hub/teliamathshelp- FINDING THE nth TERM IN A SEQUENCE]
#[http://www.mathsisfun.com/algebra/sequences-sums-arithmetic.html Maths is fun for Arithmetic progressions]
#[http://www.mathsisfun.com/algebra/sequences-sums-arithmetic.html Maths is fun for Arithmetic progressions]
#[http://www.mathsisfun.com/algebra/sequences-sums-geometric.html Maths is fun for Geometric progressions]
#[http://www.mathsisfun.com/algebra/sequences-sums-geometric.html Maths is fun for Geometric progressions]
#[http://www.slideshare.net/Aditya-Kumar-Pathak/arithmatic-progression this PPT will give basic information of progressions]
#[http://www.slideshare.net/Aditya-Kumar-Pathak/arithmatic-progression this PPT will give basic information of progressions]
#[http://www.nios.ac.in/media/documents/SecMathcour/Eng/Chapter-7.pdf -this pdf file deals with the fundamentals of A.P]
#[http://www.nios.ac.in/media/documents/SecMathcour/Eng/Chapter-7.pdf -this pdf file deals with the fundamentals of A.P]
#[http://mykhmsmathclass.blogspot.com/2011/09/arithmetic-progression-introduction.html Number pattern and number sequence]
#[http://www.projectmaths.ie/students/cd-strand3LC/arithmeticsequence.htm Quiz for Arithmetic Progressions]
#[http://mykhmsmathclass.blogspot.com/2011/09/introduction-ap.html Introduction to A.P]
#[http://www.cliffsnotes.com/math/algebra/algebra-ii/sequences-and-series/quiz-arithmetic-sequence Quiz for AP and GP]
#[http://mykhmsmathclass.blogspot.com/2008/05/arithmetic-progression.html Understanding A.P]
#[http://mykhmsmathclass.blogspot.com/2011/09/deriving-nth-term-of-ap.html Formula deriving nth term of an A.P.]
#[http://mykhmsmathclass.blogspot.com/2011/09/using-formula-for-nth-term-of-ap.html Using formula nth term of anA.P.]
#[http://mykhmsmathclass.blogspot.com/2011/09/formula-sum-of-first-n-terms-of-ap.html Formuladerivation ofsum of n termsof an AP]
#[http://mykhmsmathclass.blogspot.com/2011/09/sum-of-n-terms-of-ap-when-first-and.html Formula derivationsum of n termsof an AP whenfirst term andlast term is given]
#[http://mykhmsmathclass.blogspot.com/2011/09/sum-of-first-n-terms-of-ap-problems.html Sum of first nterms of an A.P.Problems]
#[http://mykhmsmathclass.blogspot.com/search/label/Resources-%20Geometric%20 Understanding GP]
#[http://nimsdxb.com/wp-content/uploads/Unit-5_A.P._and_G.P._Core.pdf CBSE-i Arthimetic progression and geometric progression]
#[http://www.freeganita.com/en/topics.htm Progression Points]
=video on progressions from youtube=
#[http://www.onlinemathlearning.com/arithmetic-series.html Arithmetic progressions videos]
{{#widget:YouTube|id=TFWGV_84uEk}}
{{#widget:YouTube|id=TFWGV_84uEk}}
{{#widget:YouTube|id=1SDLmYdZkho}}
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{{#widget:YouTube|id=uDpwYSL70oY}}
{{#widget:YouTube|id=uDpwYSL70oY}}
{{#widget:YouTube|id=F4HiKiQ30dM}}
==Reference Books==
==Reference Books==
= Teaching Outlines =
= Teaching Outlines =
#In different number pattern relating terms of the pattern
#Defining different number pattern
#Recognition of each terms
#Differnce between finite and infinite sequence
#Difference between sequence and series
==Concept #1 Introduction to progression==
==Concept #1 Introduction to progression==
===Learning objectives===
===Learning objectives===
#Identifying the pattern present in different number pattern
#Meaning of the sequence
#Defining the terms of the sequence
#Writing the next terms and n'th term of the given sequences
#Defining the finite and infinite sequence and examples.
===Notes for teachers===
===Notes for teachers===
#An orderly arrangement of numbers according to a certain rule is called a sequence.
#A sequence containing finite number of terms is called a finite sequence.
#A sequence containing infinite number of terms is called an finite sequence.
===Activity===
===Activity===
#Activity No #1
#Activity No #1 - Introduction to progression [[Progressions_Introduction_to_progression_activity1|click here]]
#Activity No #2 - Introduction to progression [[Progressions_Introduction_to_progression_activity2|click here]]
#To get the videos on progression in Kannada [http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ಶ್ರೇಢಿಗಳು click here] shared by yakub koyyur GHS Nada.
==Concept #2 types of progression==
==Concept #2 types of progression==
===Learning objectives===
===Learning objectives===
#Classification progression depending upon relation between consecutive terms
#Identify the types of progression for given sequence
#Giving example for three types of progression.
===Notes for teachers===
===Notes for teachers===
#The difference between any term and its preceding term is a constant ------- Arithmetic progression
#The reciprocals of the arithmetic progression --------Harmonic progression
#The ratio between any term and its preceding term is constant -------Geometric progression.
[http://www.freeganita.com/en/nt.htm for a notes of progression clicik here]
===Activity ===
===Activity ===
#Activity No #1
#Activity No #1 activity to types of progressions [[Progressions_Types_of_progression_activity1|click here]]
#Activity No #2
#Activity No #2 activity to types of progressions [[Progressions_Types_of_progression_activity2|click here]]
= Hints for difficult problems =
= Hints for difficult problems =
#A company employed 400 persons in the year 2001 and each year increased by 35 persons. In which year the number of employees in the company will be 785?
#A company employed 400 persons in the year 2001 and each year increased by 35 persons. In which year the number of employees in the company will be 785?
#In an A.P. sum of first 6 terms is 345.If difference between first term and last term is 55 then find that terms.
#In an A.P. sum of first 6 terms is 345.If difference between first term and last term is 55 then find that terms.
Please click[http://karnatakaeducation.org.in/KOER/en/index.php/Class10_progressions_problems here\] here for the solution.
Please click[http://karnatakaeducation.org.in/KOER/en/index.php/Class10_progressions_problems here] here for the solution.<br>#[https://www.slideshare.net/AkshayFegade/10th-arithmetic-progression-solves-questions 10th arithmetic progression solves questions]
# Answer to progression problem 1 - [http://karnatakaeducation.org.in/KOER/en/images/2/27/Answer_to_GP_problem-1_%28Progression%29.odt T3=T4+9 or T3-T4=9]
= Project Ideas =
= Project Ideas =
[http://www.slideshare.net/abheeshek07/maths-project-work projects on progression click here]
= Math Fun =
= Math Fun =
[https://www.mathsisfun.com/puzzles/index.html To see puzzles under Arithmetic Progressions Please click here]
'''Usage'''
'''Usage'''
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template
[http://www.slideshare.net/abheeshek07/maths-project-work projects on progression click here]
[[Category:Class 10]]
[[Category:Progressions]]