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| + | ''[http://karnatakaeducation.org.in/KOER/೧೦ನೇ_ತರಗತಿಯ_ಶ್ರೇಢಿಯ_ವಿಧಗಳು 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 --> |
| <!-- BANNER ACROSS TOP OF PAGE --> | | <!-- BANNER ACROSS TOP OF PAGE --> |
| {| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;" | | {| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;" |
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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.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics] | | [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; "| | + | | 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>[[Types of progressions.mm|Flash]]</mm>
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| + | [[File:Types of progressions.mm|Flash]] |
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| = Textbook = | | = Textbook = |
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| ===Activities=== | | ===Activities=== |
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− | #Activity No #1 | + | #Activity No #1 activity for arithmetic progression |
− | #Activity No #2 | + | #Activity No #2 activity for arithmetic progression |
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| ==Concept #2 Harmonic progression== | | ==Concept #2 Harmonic progression== |
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| ===Activities=== | | ===Activities=== |
− | #Activity No #1 '''Concept Name - Activity No.''' | + | #Activity No #1 acivity for Harmonic progression |
− | #Activity No #2 '''Concept Name - Activity No.''' | + | #Activity No #2 acivity for Harmonic progression |
− | ''
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| ==Concept #3 Geometric progression== | | ==Concept #3 Geometric progression== |
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| ===Activities=== | | ===Activities=== |
− | #Activity No #1 '''Concept Name - Activity No.''' | + | #Activity No #1 activity for Geometric progression |
− | #Activity No #2 '''Concept Name - Activity No.''' | + | #Activity No #2 activity for Geometric progression |
− | ''
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− | | |
− | == Headline text ==
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| ==Concept #4 Relation between A.M, G.M, H.M== | | ==Concept #4 Relation between A.M, G.M, H.M== |
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| ===Activities=== | | ===Activities=== |
− | #Activity No #1 '''Concept Name - Activity No.''' | + | #Activity No #1 activity to show relation between A.M, G.M, H.M |
− | #Activity No #2 '''Concept Name - Activity No.''' | + | #Activity No #2 activity to show relation between A.M, G.M, H.M |
− | ''
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− | | |
− | == Headline text ==
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| =Assessment activities for CCE= | | =Assessment activities for CCE= |
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| = Hints for difficult problems = | | = 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? |
| + | [[Class10_progressions_problems#Problem_1_from_Exercise_3.2_.28_Q.N.11_-_page_No._37.29|click here for Solution]]<br> |
| + | 2. The sum of 6 terms which form an A.P is 345. The difference between the first and last terms is 55. Find the terms. |
| + | [[Class10_progressions_problems#Problem_2_from_Exercise_3.3_.28_Q.N.12_-_page_No._43.29|click here for solution]]<br> |
| + | 3. Find two numbers whose arithmetic mean exceeds their geometric mean by 2, and whose harmonic mean is one-fifth of the larger number .[[Class10_progressions_problems#Problem 3|click here for solution]]<br> |
| + | 4. If 'a' be the arithmetic mean between 'b' and 'c', and 'b' the geometric mean between 'a' and 'c', then prove that 'c' will be the harmonic mean between 'a' and 'b'.[[Class10_progressions_problems#Problem 4|click here for solution]] |
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| = Project Ideas = | | = Project Ideas = |
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| = Math Fun = | | = Math Fun = |
| + | |
| + | [[Category:Progressions]] |