Difference between revisions of "APSB - 8 - Maths :: Square Roots and Cube Roots"

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Go To: [[APSB-Mathematics-Grade 8]]
 
Go To: [[APSB-Mathematics-Grade 8]]
  
−
=Lesson Plan=
+
=Course Content=
 +
 
 +
 
 +
<h2> Course Content / Subtopic list: </h2>
 +
<br>
 +
 
 +
<ol>
 +
  <li>Introduction,Properties Of Square Numbers</li>
 +
  <li>Interesting Patterns In Square, Pythagorean Triple</li>
 +
  <li>Square Roots, Finding The Square Root</li>
 +
  <li>Finding The Square Root Through Prime Factorization</li>
 +
  <li>Square Roots Of Decimals Using Division Method</li>
 +
  <li>Cubes And Cube Roots- Cubic Numbers</li>
 +
  <li>Cubes And Their Prime Factors, Introduction Of Cube Roots</li>
 +
  <li>Finding Cube Root Through Prime Factorization Method</li>
 +
 
 +
</ol>
 +
 
 +
 
 +
=Textbook=
 +
<h2> Semester 1 </h2> <br>
 +
[https://drive.google.com/file/d/19IsafX2JTxUbfUTQQqTNpjWl-5WHh2Zk/view TextBook Link ]
 +
 
 +
<h2> Semester 2 </h2> <br>
 +
[https://drive.google.com/file/d/15A80N_Lso84YCSsacACC7KgC5tvaG0nY/view TextBook Link ] <br>
 +
 
 +
 
 +
 
 +
=Teaching Learning Resource=
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 +
<h2>Lesson Plan</h2>
  
 
[Author - Kripa S]
 
[Author - Kripa S]
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=Textbook=
 
  
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[Author - Kripa S]
 
  
  
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http://scert.telangana.gov.in/sites/default/files/publication/ebooks/8TM_MAT.pdf#page=134 (Telangana Board) (Telugu Medium)
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<h2>Videos</h2>
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+
−
https://drive.google.com/folderview?id=0B0WiysvR2DOlZFo2MFc4RzBweWc&usp=sharing (AP Board) (Telugu Medium)
+
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+
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http://scert.telangana.gov.in/sites/default/files/publication/ebooks/8EM_MAT.pdf#page=134 (Telangana Board) (English Medium)
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+
−
http://apscert.gov.in/ebookapp/GeneratePdf (AP Board) (English Medium)
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−
 
+
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=Videos=
+
  
 
[Author - Kripa S]
 
[Author - Kripa S]
Line 51: Line 70:
  
  
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=Images=
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<h2>Images</h2>
  
 
[Author - Kripa S]
 
[Author - Kripa S]
Line 63: Line 82:
  
  
−
=Activities=
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<h2>Activities</h2>
  
 
[Author - Kripa S]
 
[Author - Kripa S]
Line 76: Line 95:
  
  
−
=Additional Aids=
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<h2>Additional Aids</h2>
 +
[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)
 +
 
 +
<h2>Transliteration</h2>
 +
[Contributor - Koganti Manasa]
 +
{| class="wikitable"
 +
|'''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
 +
|-
 +
 +
|}
 +
 
 +
<h2>Worksheets</h2>
 +
 
 +
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)
 +
 
  
−
=Transliteration=
+
<h2>Assessments</h2>
  
−
=Worksheets=
+
[Contributor - Prasanna Oruganti]
  
−
=Assessments=
+
https://drive.google.com/open?id=1so3GSgz5p38ZP4nZud_4hXNNedpltqxH (Question Bank - English)
  
 
<headertabs/>
 
<headertabs/>
 
<vote type=1 />
 
<vote type=1 />
 
<comments/>
 
<comments/>

Latest revision as of 08:13, 24 August 2023

Go To: APSB-Mathematics-Grade 8

[edit]

Course Content / Subtopic list:


  1. Introduction,Properties Of Square Numbers
  2. Interesting Patterns In Square, Pythagorean Triple
  3. Square Roots, Finding The Square Root
  4. Finding The Square Root Through Prime Factorization
  5. Square Roots Of Decimals Using Division Method
  6. Cubes And Cube Roots- Cubic Numbers
  7. Cubes And Their Prime Factors, Introduction Of Cube Roots
  8. Finding Cube Root Through Prime Factorization Method


Semester 1


TextBook Link

Semester 2


TextBook Link


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)

0.00
(0 votes)


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