Difference between revisions of "APSB - 8 - Maths :: Rational Numbers"

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Go To: [[APSB-Mathematics-Grade 8]]
 
Go To: [[APSB-Mathematics-Grade 8]]
  
=Lesson Plan=
+
=Course Content=
  
[Author - Kripa S]
 
  
 +
<h2> Course Content / Subtopic list: </h2>
 +
<br>
  
'''Objective:''' Introduce rational numbers and properties of rational numbers
+
<ol>
 +
  <li>Introduction,Properties Of Rational Numbers-Closure</li>
 +
  <li>Closure Property- Multiplication, Division, Commutative</li>
 +
  <li>Commutative Property- Multiplication, Division, Associative</li>
 +
  <li>Associative Property-Multiplication, Division</li>
 +
  <li>Distributivity Of Multiplication Over Addition</li>
 +
  <li>Representation Of Rational Numbers On Number Line,</li>
 +
  <li>Conversion Of Decimal Form Into Rational Form</li>
  
'''Subtopics to be covered:'''
+
</ol>
  
- Define rational numbers
+
=Textbook=
  
- Properties of rational numbers for the 4 operations (+, -, x, ÷)
+
<h2> Semester 1 </h2> <br>
 +
[https://drive.google.com/file/d/19IsafX2JTxUbfUTQQqTNpjWl-5WHh2Zk/view TextBook Link ]
  
- Additive inverse, Multiplicative inverse of a rational number
+
<h2> Semester 2 </h2> <br>
 +
[https://drive.google.com/file/d/15A80N_Lso84YCSsacACC7KgC5tvaG0nY/view TextBook Link ] <br>
  
'''Learning Outcome:'''
 
  
- Students can identify the properties of a rational number based on any operation
+
=Teaching Learning Resource=
  
- Students can solve problems on rational numbers (+, -, x, ÷)
+
<h2>Lesson Plan</h2>
  
 +
[Contributor - Harshavardhan]
  
=Textbook=
+
Dear Volunteer,
  
[Author - Kripa S]
 
  
 +
Please find below the detailed lesson plan and PPT for this chapter in the language mentioned against the respective link. While the lesson plan will give an overall flow of the lesson, the PPT will include lesson flow as well as the presentations for the class.
  
http://scert.telangana.gov.in/sites/default/files/publication/ebooks/8TM_MAT.pdf#page=13 (Telangana Board) (Telugu Medium)
+
'''https://drive.google.com/open?id=1z554WJ-4mI4sKuHyz1Z7YnJLYtGn0J0E''' (Lesson Plan - English)
  
https://drive.google.com/folderview?id=0B0WiysvR2DOlZFo2MFc4RzBweWc&usp=sharing (AP Board) (Telugu Medium)  
+
'''https://drive.google.com/open?id=191fka8aXQ6f8sGVZ50W_01NIQ70vHMqf''' (PPT - English)
  
http://scert.telangana.gov.in/sites/default/files/publication/ebooks/8EM_MAT.pdf#page=13 (Telangana Board) (English Medium)
 
  
http://apscert.gov.in/ebookapp/GeneratePdf (AP Board) (English Medium)
+
You may use the content as it is or download and modify them to suit the students requirements.
  
  
=Videos=
+
If you feel any major modifications or additions are carried out by you in the form of adding any new activity, presentations, videos etc. we request you to send the modified version to submitcontent@evidyloka.org for enabling upload the modified version.
 +
 
 +
 
 +
 
 +
The worksheets of the lesson can be accessed from the worksheet tab.
 +
 
 +
 
 +
 
 +
Kindly rate the lesson plan and share your suggestions and comments on the lesson plan in the comments box below. Your valuble suggestions and comments will help us to improve the content.
 +
 
 +
 
 +
</h2>Videos</h2>
  
 
[Contributor - Kripa S]
 
[Contributor - Kripa S]
Line 45: Line 65:
 
https://www.youtube.com/watch?v=9yvtLN_24G0 (Rational numbers - animated, English)
 
https://www.youtube.com/watch?v=9yvtLN_24G0 (Rational numbers - animated, English)
  
=Images=
+
[Contributor - Harshavardhan]
 +
 
 +
Lesson Plan Version 1.1 videos
 +
 
 +
https://www.youtube.com/watch?v=97BzP89Q9oA
 +
 
 +
<h2>Images</h2>
  
 
[Author - Kripa S]
 
[Author - Kripa S]
Line 58: Line 84:
  
  
=Activities=
+
<h2>Activities</h2>
  
 
[Author - Kripa S]
 
[Author - Kripa S]
Line 68: Line 94:
  
  
=Additional Aids=
+
Lesson Plan version 1.1 activities
  
[Author - Deepa Sawlani]
+
1. Let students pick some random rational number/ provide some random rational number and ask them to convert to decimal number on the board.
  
 +
2. Ask students to do some basic division of two natural numbers before jumping into the conversion.
  
https://drive.google.com/open?id=0BzNF2YyqQxJ-SHhtSlBKdzdzOHM (Answer Key 1)
 
  
https://drive.google.com/open?id=0BzNF2YyqQxJ-UnlmU1BjVC1HdDg (Answer Key 2)
+
<h2>Additional Aids</h2>
  
https://drive.google.com/open?id=0BzNF2YyqQxJ-TXJQUUlSZVo2dlU (Answer Key 3)
 
  
 +
[Contributor - Harshavardhan]
 +
 +
Lesson Plan version 1.1 PPT
 +
 +
https://drive.google.com/open?id=191fka8aXQ6f8sGVZ50W_01NIQ70vHMqf
  
=Transliteration=
+
<h2>Transliteration</h2>
 
[Author - Kalanadhabhatla Shweta]
 
[Author - Kalanadhabhatla Shweta]
 
{| class="wikitable"  
 
{| class="wikitable"  
Line 119: Line 149:
 
   
 
   
 
  |}
 
  |}
{| class="wikitable"
 
|''Term'''          ||          '''Transliterated Term'''      || '''Translated Term'''||
 
|-
 
|Positive                                 ||             పోస్టివ్                       ||              అనుకూల ||
 
|-
 
|Negative                                 ||              నెగటివ్                        ||            ప్రతికూల ||
 
|-
 
|Addition                                 ||               అడిషన్                         ||               కూడిక ||
 
|-
 
|Subtraction                              ||          సబిట్రక్షన్                    ||             తీసివేత ||
 
|-
 
|Mutiply                                  ||            మల్టిప్లై                      ||              గుణకార ||
 
|-
 
|Product                                  ||            ప్రోడక్ట్                      ||            ఉత్పత్తి ||
 
|-
 
|Even                                     ||                ఈవెన్                          ||                 సరి ||
 
|-
 
|Odd                                      ||                  ఆడ్                            ||                బేసి ||
 
|-
 
|Associativity                            ||      అస్సోసియేటివిటీ                ||              అనుబంధ ||
 
|-
 
|Distributive                             ||     డిస్ట్రిబ్యూటివ్               ||              పంపిణి ||
 
|-
 
|Inverse                                  ||            ఇన్వెర్స్                      ||              విలోమం ||
 
|-
 
|Reciprocal                               ||          రెసిప్రొకల్                    ||              పరస్పర ||
 
|-
 
|Decimal                                  ||              డెసిమల్                        ||               దశాంశ ||
 
|-
 
|Infinite                                 ||            ఇన్ఫినిటీ                      ||               అనంతం ||
 
|-
 
|Terminating decimal                      || ెర్మినాటింగ్ డెసిమల్          ||       ముగింపు దశాంశ ||
 
|-
 
|Non terminating decimal                  || ెర్మినాటింగ్ డెసిమల్     || ్మినాటింగ్ డెసిమల్  ||
 
|-
 
 
|}
 
{| class="wikitable"
 
|''Term'''          ||          '''Transliterated Term'''      || '''Translated Term'''||
 
|-
 
|Positive                                 ||             పోస్టివ్                       ||              అనుకూల ||
 
|-
 
|Negative                                 ||              నెగటివ్                        ||            ప్రతికూల ||
 
|-
 
|Addition                                 ||               అడిషన్                         ||               కూడిక ||
 
|-
 
|Subtraction                              ||          సబిట్రక్షన్                    ||             తీసివేత ||
 
|-
 
|Mutiply                                  ||            మల్టిప్లై                      ||              గుణకార ||
 
|-
 
|Product                                  ||            ప్రోడక్ట్                      ||            ఉత్పత్తి ||
 
|-
 
|Even                                     ||                ఈవెన్                          ||                 సరి ||
 
|-
 
|Odd                                      ||                  ఆడ్                            ||                బేసి ||
 
|-
 
|Associativity                            ||      అస్సోసియేటివిటీ                ||              అనుబంధ ||
 
|-
 
|Distributive                             ||     డిస్ట్రిబ్యూటివ్               ||              పంపిణి ||
 
|-
 
|Inverse                                  ||            ఇన్వెర్స్                      ||              విలోమం ||
 
|-
 
|Reciprocal                               ||          రెసిప్రొకల్                    ||              పరస్పర ||
 
|-
 
|Decimal                                  ||              డెసిమల్                        ||               దశాంశ ||
 
|-
 
|Infinite                                 ||            ఇన్ఫినిటీ                      ||               అనంతం ||
 
|-
 
|Terminating decimal                      || ెర్మినాటింగ్ డెసిమల్          ||       ముగింపు దశాంశ ||
 
|-
 
|Non terminating decimal                  || ెర్మినాటింగ్ డెసిమల్     || ్మినాటింగ్ డెసిమల్  ||
 
|-
 
 
|}
 
  
=Worksheets=
+
<h2>Worksheets</h2>
 +
 
 +
Worksheets  [Version 2021]
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4169_V1.pdf (Worksheet 1)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4170_V1.pdf  (Worksheet 2)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4171_V1.pdf (Worksheet 3)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4172_V1.pdf  (Worksheet 4)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4173_V1.pdf  (Worksheet 5)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4174_V1.pdf (Worksheet 6)
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4175_V1.pdf (Worksheet 7)
 +
 
 +
 
 +
Answerkeys [Version 2021]
 +
 
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4169_V1.docx (Answerkey 1)
  
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4170_V1.docx (Answerkey 2)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4171_V1.docx (Answerkey 3)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4172_V1.docx (Answerkey 4)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4173_V1.docx (Answerkey 5)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4174_V1.docx (Answerkey 6)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4175_V1.docx (Answerkey 7)
 +
 +
 +
Worksheets  [Version 2021]
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4169_V1.pdf (Worksheet 1)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4170_V1.pdf  (Worksheet 2)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4171_V1.pdf (Worksheet 3)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4172_V1.pdf  (Worksheet 4)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4173_V1.pdf  (Worksheet 5)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4174_V1.pdf (Worksheet 6)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4175_V1.pdf (Worksheet 7)
 +
 +
 +
Answerkeys [Version 2021]
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4169_V1.docx (Answerkey 1)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4170_V1.docx (Answerkey 2)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4171_V1.docx (Answerkey 3)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4172_V1.docx (Answerkey 4)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4173_V1.docx (Answerkey 5)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4174_V1.docx (Answerkey 6)
 +
 +
https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4175_V1.docx (Answerkey 7)
 +
 +
 +
<h2>Assessments</h2>
 
[Author - Deepa Sawlani]
 
[Author - Deepa Sawlani]
  
Line 205: Line 230:
 
https://drive.google.com/open?id=0BzNF2YyqQxJ-QzAtbHVGbXBEdms (Worksheet 3)
 
https://drive.google.com/open?id=0BzNF2YyqQxJ-QzAtbHVGbXBEdms (Worksheet 3)
  
 +
https://drive.google.com/open?id=0BzNF2YyqQxJ-SHhtSlBKdzdzOHM (Answer Key 1)
  
=Assessments=
+
https://drive.google.com/open?id=0BzNF2YyqQxJ-UnlmU1BjVC1HdDg (Answer Key 2)
 +
 
 +
https://drive.google.com/open?id=0BzNF2YyqQxJ-TXJQUUlSZVo2dlU (Answer Key 3)
  
 
<headertabs/>
 
<headertabs/>
 
<vote type=1 />
 
<vote type=1 />
 
<comments/>
 
<comments/>

Latest revision as of 07:59, 24 August 2023

Go To: APSB-Mathematics-Grade 8

[edit]

Course Content / Subtopic list:


  1. Introduction,Properties Of Rational Numbers-Closure
  2. Closure Property- Multiplication, Division, Commutative
  3. Commutative Property- Multiplication, Division, Associative
  4. Associative Property-Multiplication, Division
  5. Distributivity Of Multiplication Over Addition
  6. Representation Of Rational Numbers On Number Line,
  7. Conversion Of Decimal Form Into Rational Form

Semester 1


TextBook Link

Semester 2


TextBook Link


Lesson Plan

[Contributor - Harshavardhan]

Dear Volunteer,


Please find below the detailed lesson plan and PPT for this chapter in the language mentioned against the respective link. While the lesson plan will give an overall flow of the lesson, the PPT will include lesson flow as well as the presentations for the class.

https://drive.google.com/open?id=1z554WJ-4mI4sKuHyz1Z7YnJLYtGn0J0E (Lesson Plan - English)

https://drive.google.com/open?id=191fka8aXQ6f8sGVZ50W_01NIQ70vHMqf (PPT - English)


You may use the content as it is or download and modify them to suit the students requirements.


If you feel any major modifications or additions are carried out by you in the form of adding any new activity, presentations, videos etc. we request you to send the modified version to submitcontent@evidyloka.org for enabling upload the modified version.


The worksheets of the lesson can be accessed from the worksheet tab.


Kindly rate the lesson plan and share your suggestions and comments on the lesson plan in the comments box below. Your valuble suggestions and comments will help us to improve the content.


</h2>Videos</h2>

[Contributor - Kripa S]

(Source: Smart Learning for All)

https://www.youtube.com/watch?v=9yvtLN_24G0 (Rational numbers - animated, English)

[Contributor - Harshavardhan]

Lesson Plan Version 1.1 videos

https://www.youtube.com/watch?v=97BzP89Q9oA

Images

[Author - Kripa S]


http://4.bp.blogspot.com/_6c3ihz9hDWY/TPJsBrhS1JI/AAAAAAAAAAs/4jIhQR7xfYk/s1600/Rational+numbers.png (Rational Numbers)

'https://img.clipartfox.com/4260a4c3b12568c478b2a135136b9bbb_relationship-between-numbers-rational-numbers-definition_500-387.png (examples on rational numbers)

https://s3-ap-southeast-1.amazonaws.com/learnhive/lcards/Rational-Numbers-5220428eec40a.png (properties of rational numbers)


Activities

[Author - Kripa S]


1. Make two teams. One team will write a number on board, and other team will guess whether it is a rational number or not.

2. Make a chart of how rational numbers consists of integers, whole numbers, natural numbers.


Lesson Plan version 1.1 activities

1. Let students pick some random rational number/ provide some random rational number and ask them to convert to decimal number on the board.

2. Ask students to do some basic division of two natural numbers before jumping into the conversion.


Additional Aids


[Contributor - Harshavardhan]

Lesson Plan version 1.1 PPT

https://drive.google.com/open?id=191fka8aXQ6f8sGVZ50W_01NIQ70vHMqf

Transliteration

[Author - Kalanadhabhatla Shweta]

Term Transliterated Term Translated Term
Positive                                             పోస్టివ్                                    అనుకూల 
Negative                                              నెగటివ్                                    ప్రతికూల 
Addition                                               అడిషన్                                       కూడిక 
Subtraction                                        సబిట్రక్షన్                                 తీసివేత 
Mutiply                                              మల్టిప్లై                                    గుణకార 
Product                                              ప్రోడక్ట్                                  ఉత్పత్తి 
Even                                                    ఈవెన్                                           సరి 
Odd                                                        ఆడ్                                            బేసి 
Associativity                                  అస్సోసియేటివిటీ                              అనుబంధ 
Distributive                                 డిస్ట్రిబ్యూటివ్                            పంపిణి 
Inverse                                              ఇన్వెర్స్                                    విలోమం 
Reciprocal                                        రెసిప్రొకల్                                  పరస్పర 
Decimal                                                డెసిమల్                                       దశాంశ 
Infinite                                            ఇన్ఫినిటీ                                     అనంతం 
Terminating decimal                       ెర్మినాటింగ్ డెసిమల్                 ముగింపు దశాంశ 
Non terminating decimal                   ెర్మినాటింగ్ డెసిమల్     ్మినాటింగ్ డెసిమల్  

Worksheets

Worksheets [Version 2021]

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4169_V1.pdf (Worksheet 1)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4170_V1.pdf (Worksheet 2)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4171_V1.pdf (Worksheet 3)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4172_V1.pdf (Worksheet 4)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4173_V1.pdf (Worksheet 5)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4174_V1.pdf (Worksheet 6)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4175_V1.pdf (Worksheet 7)


Answerkeys [Version 2021]

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4169_V1.docx (Answerkey 1)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4170_V1.docx (Answerkey 2)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4171_V1.docx (Answerkey 3)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4172_V1.docx (Answerkey 4)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4173_V1.docx (Answerkey 5)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4174_V1.docx (Answerkey 6)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4175_V1.docx (Answerkey 7)


Worksheets [Version 2021]

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4169_V1.pdf (Worksheet 1)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4170_V1.pdf (Worksheet 2)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4171_V1.pdf (Worksheet 3)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4172_V1.pdf (Worksheet 4)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4173_V1.pdf (Worksheet 5)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4174_V1.pdf (Worksheet 6)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/APSB/Maths/T+426_ST+4175_V1.pdf (Worksheet 7)


Answerkeys [Version 2021]

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4169_V1.docx (Answerkey 1)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4170_V1.docx (Answerkey 2)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4171_V1.docx (Answerkey 3)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4172_V1.docx (Answerkey 4)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4173_V1.docx (Answerkey 5)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4174_V1.docx (Answerkey 6)

https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/APSB/Math/T+426_ST+4175_V1.docx (Answerkey 7)


Assessments

[Author - Deepa Sawlani]


https://drive.google.com/open?id=0BzNF2YyqQxJ-UlBHbFlyTjBKckE (Worksheet 1)

https://drive.google.com/open?id=0BzNF2YyqQxJ-U29LUkdEX0FGVHc (Worksheet 2)

https://drive.google.com/open?id=0BzNF2YyqQxJ-QzAtbHVGbXBEdms (Worksheet 3)

https://drive.google.com/open?id=0BzNF2YyqQxJ-SHhtSlBKdzdzOHM (Answer Key 1)

https://drive.google.com/open?id=0BzNF2YyqQxJ-UnlmU1BjVC1HdDg (Answer Key 2)

https://drive.google.com/open?id=0BzNF2YyqQxJ-TXJQUUlSZVo2dlU (Answer Key 3)

0.00
(0 votes)


Anonymous user #1

59 months ago
Score 0++

To whomsoever concerned, Dear Madam, Sir, I opened the worksheet some distortion in Telugu font was observed. Can you suggest suitable Telugu typing software? I'm using Telugu Indic input 2 Yours

Ramesh Maths 8Th class Gosaveedu.

Anonymous user #2

55 months ago
Score 0++

Under Activities tab,please add examples of irrational numbers and non-trivial rational numbers.

Irrational --- pi,e,square root of 3,etc

rational -- 1.345345345.....(infinite sequence)
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