APSB - 8 - Maths :: Square Roots and Cube Roots
Go To: APSB-Mathematics-Grade 8
Course Content / Subtopic list:
- Introduction,Properties Of Square Numbers
- Interesting Patterns In Square, Pythagorean Triple
- Square Roots, Finding The Square Root
- Finding The Square Root Through Prime Factorization
- Square Roots Of Decimals Using Division Method
- Cubes And Cube Roots- Cubic Numbers
- Cubes And Their Prime Factors, Introduction Of Cube Roots
- Finding Cube Root Through Prime Factorization Method
Lesson Plan
[Author - Kripa S]
Objective: Revise squares, cubes and ways to find square roots, cube roots for a number
Subtopics to be covered:
- Perfect squares, perfect cubes for 1 to 10
- Properties to identify perfect squares, perfect cubes
- Patterns with square numbers and cube numbers
- Find square roots by prime factorization method and root division method
- Find cube roots by prime factorization method and estimation
Learning Outcome:
- Students can find squares and cubes for a number from 1 - 10
- They can find square roots, cube roots for a given number
- They can identify whether a given number can be a perfect square or a cube
Videos
[Author - Kripa S]
https://www.youtube.com/watch?v=BJzZD03Sguc (how to find square root - English)
Images
[Author - Kripa S]
https://i0.wp.com/www.math-help-online.com/wp-content/uploads/2016/04/square-roots.jpg (square roots)
http://study.com/cimages/multimages/16/squares_and_roots.png (squares and square roots from 1 - 12)
https://image.slidesharecdn.com/chcubesandcuberoot-141022063109-conversion-gate01/95/cubes-and-cube-root-8-638.jpg?cb=1413959587 (example of cube, cube root)
Activities
[Author - Kripa S]
1. Make a chart of squares and cubes for numbers 1 to 20.
2. Make a chart of numbers whose square roots and cube roots are from 1 to 20
3. Make teams of two students each, where one student will ask square of a number, and other student will ask square root of a number.
Additional Aids
[Contributors - Divya Jyothi, Praveen Jayaram]
https://drive.google.com/open?id=1gwo-ZKfnoPZJNABTFe6qWKXsXtoEnhcH (PPT - English)
https://drive.google.com/open?id=15yX449MDACjkjrjPLDZD0e569nRO_0QT (Answer Key)
Transliteration
[Contributor - Koganti Manasa]
| Term | Transliterated Term | Translated Term |
| Square Root | స్క్వేర్ రూట్ | వర్గమూలం |
| Cube Root | క్యూబ్ రూట్ | ఘనమూలం |
| Integer | ఇంటిజర్ | పూర్ణసంఖ్య |
| Rational number | రెషనల్ నంబర్ | అకరణీయ సంఖ్య |
| Perfect Square | పర్ఫెక్ట్ స్క్వేర్ | ఖచ్చితవర్గం |
| Properties | ప్రోపర్టీస్ | ధర్మాలు |
| Palindrome | పాలిండ్రోం | పాలిండ్రాం |
| Triplets | ట్రిప్లెట్స్ | త్రికాలు |
| Primitive | ప్రిమిటివ్ | ప్రాథమిక |
| inverse operation | ఇన్వర్స్ ఆపరేషన్ | వ్యతిరేక పరిక్రియ |
| Prime Factorisation | ప్రైం ఫ్యాక్టరైసేషన్ | ప్రధాన కారణాంకం |
| Divison | డివిజన్ | భాగాహారం |
| Divisor | డివైసర్ | విభాజకం |
| Quotient | కోటిఎంట్ | భాగఫలం |
| Remainder | రిమైండర్ | శేషం |
| Eternal Triangle | ఎటర్నల్ ట్రైయాంగిల్ | నిత్య త్రిభుజం |
Worksheets
Worksheets [Version 2021]
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+431_ST+4186_V1.pdf (Worksheet 1)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+431_ST+4187_V1.pdf (Worksheet 2)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+431_ST+4188_V1.pdf (Worksheet 3)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+431_ST+4189_V1.pdf (Worksheet 4)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+431_ST+4190_V1.pdf (Worksheet 5)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+431_ST+4191_V1.pdf (Worksheet 6)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+431_ST+4192_V1.pdf (Worksheet 7)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+431_ST+4193_V1.pdf (Worksheet 8)
Answerkeys [Version 2021]
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+431_ST+4186_V1.docx (Answerkey 1)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+431_ST+4187_V1.docx (Answerkey 2)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+431_ST+4188_V1.docx (Answerkey 3)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+431_ST+4189_V1.docx (Answerkey 4)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+431_ST+4190_V1.docx (Answerkey 5)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+431_ST+4191_V1.docx (Answerkey 6)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+431_ST+4192_V1.docx (Answerkey 7)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+431_ST+4193_V1.docx (Answerkey 8)
Worksheets [Version 2021]
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+431_ST+4186_V1.pdf (Worksheet 1)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+431_ST+4187_V1.pdf (Worksheet 2)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+431_ST+4188_V1.pdf (Worksheet 3)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+431_ST+4189_V1.pdf (Worksheet 4)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+431_ST+4190_V1.pdf (Worksheet 5)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+431_ST+4191_V1.pdf (Worksheet 6)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+431_ST+4192_V1.pdf (Worksheet 7)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+431_ST+4193_V1.pdf (Worksheet 8)
Answerkeys [Version 2021]
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+431_ST+4186_V1.docx (Answerkey 1)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+431_ST+4187_V1.docx (Answerkey 2)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+431_ST+4188_V1.docx (Answerkey 3)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+431_ST+4189_V1.docx (Answerkey 4)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+431_ST+4190_V1.docx (Answerkey 5)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+431_ST+4191_V1.docx (Answerkey 6)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+431_ST+4192_V1.docx (Answerkey 7)
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+431_ST+4193_V1.docx (Answerkey 8)
Assessments
[Contributor - Prasanna Oruganti]
https://drive.google.com/open?id=1so3GSgz5p38ZP4nZud_4hXNNedpltqxH (Question Bank - English)
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