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Progressions (view source)

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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]
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|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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| 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.
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[http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]
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Activity Keywords
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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__
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<mm>[[PROGRESSIONS.mm|Flash]]</mm>
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[[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>
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#[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>
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=Additional Information=
 
=Additional Information=
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==Useful websites==
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==Useful websites==  
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#[http://www.mathsisfun.com/numberpatterns.html Common Number patterns]
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#[http://www.davidparker.com/janine/mathpage/patterns.html Recognising Number Patterns]
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#[http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks3/maths/matchsticks_patterns/ Match Sticks Activity]
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#[http://telia.hubpages.com/hub/CONTINUATION-OF-FINDING-THE-Nth-TERM-USING-POWER-AND-FRACTIONS FIND THE Nth TERM USING "POWER" AND "FRACTIONS"]
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#[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]
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#[http://www.slideshare.net/Aditya-Kumar-Pathak/arithmatic-progression this PPT will give basic information of progressions]
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#[http://www.slideshare.net/Aditya-Kumar-Pathak/arithmatic-progression this PPT will give basic information of progressions]
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#[http://www.nios.ac.in/media/documents/SecMathcour/Eng/Chapter-7.pdf -this pdf file deals with the fundamentals of A.P]
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#[http://www.nios.ac.in/media/documents/SecMathcour/Eng/Chapter-7.pdf -this pdf file deals with the fundamentals of A.P]
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Quiz Websites
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#[http://mykhmsmathclass.blogspot.com/2011/09/arithmetic-progression-introduction.html Number pattern and number sequence]
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#[http://www.projectmaths.ie/students/cd-strand3LC/arithmeticsequence.htm Quiz for Arithmetic Progressions]
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#[http://mykhmsmathclass.blogspot.com/2011/09/introduction-ap.html Introduction to A.P]
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#[http://www.cliffsnotes.com/math/algebra/algebra-ii/sequences-and-series/quiz-arithmetic-sequence Quiz for AP and GP]
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#[http://mykhmsmathclass.blogspot.com/2008/05/arithmetic-progression.html Understanding A.P]
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#[http://mykhmsmathclass.blogspot.com/2011/09/deriving-nth-term-of-ap.html Formula deriving nth term of an A.P.]
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#[http://mykhmsmathclass.blogspot.com/2011/09/using-formula-for-nth-term-of-ap.html Using formula nth term of anA.P.]
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#[http://mykhmsmathclass.blogspot.com/2011/09/formula-sum-of-first-n-terms-of-ap.html Formuladerivation ofsum of n termsof an AP]
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#[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]
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#[http://mykhmsmathclass.blogspot.com/2011/09/sum-of-first-n-terms-of-ap-problems.html Sum of first nterms of an A.P.Problems]
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#[http://mykhmsmathclass.blogspot.com/search/label/Resources-%20Geometric%20 Understanding GP]
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#[http://nimsdxb.com/wp-content/uploads/Unit-5_A.P._and_G.P._Core.pdf CBSE-i Arthimetic progression and geometric progression]
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#[http://www.freeganita.com/en/topics.htm Progression Points]
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=video on progressions from youtube=
 
=video on progressions from youtube=
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#[http://www.onlinemathlearning.com/arithmetic-series.html Arithmetic progressions videos]
 
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{{#widget:YouTube|id=TFWGV_84uEk}}
 
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==Reference Books==
 
==Reference Books==
    
= Teaching Outlines =
 
= Teaching Outlines =
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#In different number pattern relating terms of the pattern
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#Defining different number pattern
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#Recognition of each terms
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#Differnce between finite and infinite sequence
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#Difference between sequence and series
    
==Concept #1 Introduction to progression==
 
==Concept #1 Introduction to progression==
 
===Learning objectives===
 
===Learning objectives===
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#Identifying the pattern present in different number pattern
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#Meaning of the sequence
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#Defining the terms of the sequence
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#Writing the next terms and n'th term of the given sequences
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#Defining the finite and infinite sequence and examples.
    
===Notes for teachers===
 
===Notes for teachers===
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''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.''
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#An orderly arrangement of numbers according to a certain rule is called a sequence.
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#A sequence containing finite number of terms is called a finite sequence.
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#A sequence containing infinite number of terms is called an finite sequence.
    
===Activity===
 
===Activity===
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#Activity No #1
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#Activity No #1 - Introduction to progression [[Progressions_Introduction_to_progression_activity1|click here]]
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  For Arithmetic Progressions SUM Derivation of formula[http://www.youtube.com/watch?v=xhah3xwVtSU click here]<br>
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#Activity No #2 - Introduction to progression [[Progressions_Introduction_to_progression_activity2|click here]]
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#Activity No #2
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#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===
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#Classification progression depending upon relation between consecutive terms
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#Identify the types of progression for given sequence
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#Giving example for three types of progression.
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===Notes for teachers===
 
===Notes for teachers===
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''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.''
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#The difference between any term and its preceding term is a constant ------- Arithmetic progression
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#The reciprocals of the arithmetic progression --------Harmonic progression
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#The ratio between any term and its preceding term is constant -------Geometric progression.
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[http://www.freeganita.com/en/nt.htm for a notes of progression clicik here]
    
===Activity ===
 
===Activity ===
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#Activity No #1
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#Activity No #1 activity to types of progressions [[Progressions_Types_of_progression_activity1|click here]]
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#Activity No #2
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#Activity No #2 activity to types of progressions [[Progressions_Types_of_progression_activity2|click here]]
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= Hints for difficult problems =
 
= Hints for difficult problems =
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#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?
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#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?
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Please click[http://karnatakaeducation.org.in/KOER/en/index.php/Class10_Progressions here\] here for the solution.
   
#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.
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Please click[http://karnatakaeducation.org.in/KOER/en/index.php/Class10_progressions_problems here\] here for the solution.
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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]
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# 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 =
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[http://www.slideshare.net/abheeshek07/maths-project-work projects on progression click here]
    
= Math Fun =
 
= Math Fun =
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[https://www.mathsisfun.com/puzzles/index.html To see puzzles under Arithmetic Progressions Please click here]
    
'''Usage'''  
 
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[http://www.slideshare.net/abheeshek07/maths-project-work projects on progression click here]
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[[Category:Class 10]]
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[[Category:Progressions]]
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