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| + | ''[http://karnatakaeducation.org.in/KOER/index.php/೧೦ನೇ_ತರಗತಿಯ_ಶ್ರೇಢಿಗಳು ಕನ್ನಡದಲ್ಲಿ ನೋಡಿ]''</div> |
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| <!-- This portal was created using subst:box portal skeleton --> | | <!-- This portal was created using subst:box portal skeleton --> |
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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; "| | + | | 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] | | [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] |
− | |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. | + | [http://www.karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics] |
− | Activity Keywords
| + | | style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; " | |
− | | |
− | 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] | | [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; "| | + | | 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] | | [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/Text_Books#Mathematics_-_Textbooks Textbooks] | | [http://www.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://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>
| + | |
| + | [[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> |
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| | | |
| =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://mykhmsmathclass.blogspot.com/2011/09/introduction-ap.html Introduction to A.P] |
| + | #[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= | | =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}} |
− | | + | {{#widget:YouTube|id=F4HiKiQ30dM}} |
| ==Reference Books== | | ==Reference Books== |
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| ===Activity=== | | ===Activity=== |
| | | |
− | #Activity No #1 | + | #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>
| + | #Activity No #2 - Introduction to progression [[Progressions_Introduction_to_progression_activity2|click here]] |
− | #Activity No #2
| + | #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. |
| + | [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? |
− | 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. | + | 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] |
− | #[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]] |