MHSB - 7 - Maths :: Direct and Inverse Proportion
Go To:MSCERT-Mathematics-Grade 7
Course Content / Subtopic list:
- Equations In One Variable
- Inverse Proportion
- Partnership
Lesson Plan
[Contributor - Kripa S]
Objective: To introduce direct and inverse proportion
Subtopics to be covered:
- General formula for direct proportion
- Gneral formula for inverse proportion
- Word problem to find value in direct or inverse proportion
Learning Outcome:
- Students can identify whether given data is in direct or inverse proportion
- Students can solve a problem on proportion to find unknown value
- Students can frame proportion on a word problem
Videos
[Contributor - Kripa S]
https://www.youtube.com/watch?v=KppJGjvABVo (ratio and proportion)
https://www.youtube.com/watch?v=p1LIeJeKT38 (proportion example)
Images
[Contributor - Kripa S]
http://www.edpax.com/media/managed/large/ratio_proportion_2nd_41.png (direct proportion example 1)
http://www.rpdp.net/mathdictionary/english/vmd/images/e/equivalentratios.gif (direct proportion example 2)
https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcTHyX4m1veFeiPuZymoJGrmR8_G1Hi8qZKBzfUE66geuwYD0ry0 (direct proportion example 3)
https://doubleconformal.files.wordpress.com/2014/11/inversionbubblec2.png (inverse proportion example 1)
Activities
[Contributor - Kripa S]
1. One pen costs 5 rs. How much with 10 pens cost? Is this direct proportion or inverse proportion? Why?
2. In 1 day, my sister reads 20 pages of a book. In how many days can she finish a book of 200 pages? If my sister reads 25 pages in a day, in how many days can she finish the book? Is this direct proportion or inverse proportion? Why?
Additional Aids
[Contributors - Sushant Raut, Niranjan Kadam]
https://drive.google.com/open?id=0BzNF2YyqQxJ-UWdBdDdlWkt5WDg
https://drive.google.com/open?id=0BzNF2YyqQxJ-cmNRZExMYW51NkE (Answer Key 1)
Transliteration
[Contributor - Niranjan Kadam]
| Term | Transliterated Term | Translated Term |
| direct proportion | डायरेक्ट प्रोपोरशन | समप्रमाण |
| inverse proportion | इन्व्हर्स प्रोपोरशन | व्यस्तप्रमाण |
| increases | इनक्रेसेंस | वाढतात |
| decrease | डिक्रीस | कमी |
| proportion | प्रोपोरशन | प्रमाण |
| partnership | पार्टनरशिप | भागीदारी |
| capital | कॅपिटल | भांडवल |
| investment | इन्व्हेस्टमेंट | गुंतवणूक |
| profit | प्रॉफिट | नफा |
| loss | लॉस | तोटा |
| business enterprise | बिझिनेस एंटरप्राईस | व्यवसाय |
| ratio | रेशिओ | गुणोत्तराच्या |
Worksheets
[Contributors - Sushant Raut, Niranjan Kadam]
https://drive.google.com/open?id=0BzNF2YyqQxJ-cWVkd0tVT2JRWHM
https://drive.google.com/open?id=0BzNF2YyqQxJ-Ym1vMElEMXJZWms (Worksheet 1)
Worksheets [Version 2021]
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/MHSB/Maths/T+7085_ST+6145_V1.pdf (Worksheet 1)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/MHSB/Maths/T+7085_ST+6146_V1.pdf (Worksheet 2)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/MHSB/Maths/T+7085_ST+6147_V1.pdf (Worksheet 3)
Answer Keys [Version 2021]
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/MHSB/Math/T+7085_ST+6145_V1.docx (Answerkey 1)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/MHSB/Math/T+7085_ST+6146_V1.docx (Answerkey 2)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/MHSB/Math/T+7085_ST+6147_V1.docx (Answerkey 3)
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