Difference between revisions of "Progressions"

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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]
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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]
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__
<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=
==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]
#[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]
#[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]
Quiz Websites
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#[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]
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#[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]
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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=
 
#[http://www.onlinemathlearning.com/arithmetic-series.html Arithmetic progressions videos]
 
#[http://www.onlinemathlearning.com/arithmetic-series.html Arithmetic progressions videos]
{{#widget:YouTube|id=cZktajOmonQ}}
 
 
{{#widget:YouTube|id=TFWGV_84uEk}}
 
{{#widget:YouTube|id=TFWGV_84uEk}}
 
{{#widget:YouTube|id=1SDLmYdZkho}}
 
{{#widget:YouTube|id=1SDLmYdZkho}}
 
{{#widget:YouTube|id=uDpwYSL70oY}}
 
{{#widget:YouTube|id=uDpwYSL70oY}}
 
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{{#widget:YouTube|id=F4HiKiQ30dM}}
 
==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==
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===Activity===
 
===Activity===
  
#Activity No #1
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#Activity No #1 - Introduction to progression [[Progressions_Introduction_to_progression_activity1|click here]]
  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]]
#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==
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#The reciprocals of the arithmetic progression --------Harmonic progression
 
#The reciprocals of the arithmetic progression --------Harmonic progression
 
#The ratio between any term and its preceding term is constant -------Geometric progression.
 
#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 ===
  
#Activity No #1
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#Activity No #1 activity to types of progressions [[Progressions_Types_of_progression_activity1|click here]]
#Activity No #2
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#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?
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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?
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.
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'''  
 
'''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
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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]]

Latest revision as of 03:56, 30 October 2019

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 textbook for class 10 Chapter 3 -Progressions
  2. Tamilnadu textbook for class 10 chapter 4 pages : 34 to 67
  3. Gujarat textbook for class 10 : Chapter 5 Arithmetic progression
  4. Kerala state textbook for class 10 : Chapter 01 Arithmetic Sequences

Additional Information

Useful websites

  1. Common Number patterns
  2. Recognising Number Patterns
  3. Match Sticks Activity
  4. FIND THE Nth TERM USING "POWER" AND "FRACTIONS"
  5. FINDING THE nth TERM IN A SEQUENCE
  6. Maths is fun for Arithmetic progressions
  7. Maths is fun for Geometric progressions
  8. this PPT will give basic information of progressions
  9. -this pdf file deals with the fundamentals of A.P
  10. Number pattern and number sequence
  11. Introduction to A.P
  12. Understanding A.P
  13. Formula deriving nth term of an A.P.
  14. Using formula nth term of anA.P.
  15. Formuladerivation ofsum of n termsof an AP
  16. Formula derivationsum of n termsof an AP whenfirst term andlast term is given
  17. Sum of first nterms of an A.P.Problems
  18. Understanding GP
  19. CBSE-i Arthimetic progression and geometric progression
  20. Progression Points

video on progressions from youtube

  1. Arithmetic progressions videos

Reference Books

Teaching Outlines

  1. In different number pattern relating terms of the pattern
  2. Defining different number pattern
  3. Recognition of each terms
  4. Differnce between finite and infinite sequence
  5. Difference between sequence and series

Concept #1 Introduction to progression

Learning objectives

  1. Identifying the pattern present in different number pattern
  2. Meaning of the sequence
  3. Defining the terms of the sequence
  4. Writing the next terms and n'th term of the given sequences
  5. Defining the finite and infinite sequence and examples.

Notes for teachers

  1. An orderly arrangement of numbers according to a certain rule is called a sequence.
  2. A sequence containing finite number of terms is called a finite sequence.
  3. A sequence containing infinite number of terms is called an finite sequence.

Activity

  1. Activity No #1 - Introduction to progression click here
  2. Activity No #2 - Introduction to progression click here
  3. To get the videos on progression in Kannada click here shared by yakub koyyur GHS Nada.

Concept #2 types of progression

Learning objectives

  1. Classification progression depending upon relation between consecutive terms
  2. Identify the types of progression for given sequence
  3. Giving example for three types of progression.

Notes for teachers

  1. The difference between any term and its preceding term is a constant ------- Arithmetic progression
  2. The reciprocals of the arithmetic progression --------Harmonic progression
  3. The ratio between any term and its preceding term is constant -------Geometric progression.

for a notes of progression clicik here

Activity

  1. Activity No #1 activity to types of progressions click here
  2. Activity No #2 activity to types of progressions click here

Hints for difficult problems

  1. 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?
  2. 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 clickhere here for the solution.
#10th arithmetic progression solves questions

  1. Answer to progression problem 1 - T3=T4+9 or T3-T4=9

Project Ideas

projects on progression click here

Math Fun

To see puzzles under Arithmetic Progressions Please click here

Usage

Create a new page and type {{subst:Math-Content}} to use this template projects on progression click here