Difference between revisions of "DSERT - 7 - Maths :: Rational Numbers"

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Go To: [[DSERT-Mathematics-Grade 7]]
 
Go To: [[DSERT-Mathematics-Grade 7]]
  
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=Lesson Plan=
+
=Course Content=
  
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[Author - Kripa S]
 
  
 +
<h2> Course Content / Subtopic list: </h2>
 +
<br>
  
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'''Objective:''' Introduce rational numbers and properties of rational numbers
+
<ol>
 +
  <li>Need For Rational Numbers, What Are Rational Number?</li>
 +
  <li>Positive And Negative Rational Numbers, Rational Numbers</li>
 +
  <li>Comparison Of Rational Numbers</li>
 +
  <li>Operations On Rational Numbers</li>
  
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'''Subtopics to be covered:'''
+
</ol>
  
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- Define rational numbers
+
=Textbook=
  
−
- Properties of rational numbers for the 4 operations (+, -, x, ÷)
+
<u>'''DSERT'''</u>
  
−
- Additive inverse, Multiplicative inverse of a rational number
+
[https://www.ktbs.kar.nic.in/New/website%20textbooks/class7/7th-kannada-maths-1.pdf Part 1]
  
−
'''Learning Outcome:'''
+
[https://www.ktbs.kar.nic.in/New/website%20textbooks/class7/7th-kannada-maths-2.pdf Part 2]
  
−
- Students can identify the properties of a rational number based on any operation
+
<u>'''NCERT'''</u>
  
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- Students can solve problems on rational numbers (+, -, x, ÷)
+
[https://ncert.nic.in/textbook.php?gemh1=0-13 English]
  
 +
=Teaching Learning Resources=
  
−
=Textbook=
 
  
−
[Author - Kripa S]
+
<h2>Lesson Plan</h2>
  
 +
Dear Volunteer Teacher,
  
−
http://ktbs.kar.nic.in/New/website%20textbooks/class7/7th-kannada-maths-1.pdf#page=60 (Kannada Medium)
+
The lesson plan provides an overall picture of what you need to teach.  
 +
It is recommended that you follow the objectives and the learning outcomes stated in the lesson plan.  
  
−
http://ktbs.kar.nic.in/New/website%20textbooks/class7/7th-english-maths-1.pdf#page=62 (English Medium)
+
We suggest that that you read the chapter thoroughly and research on how to teach the topic effectively to meet the learning outcomes.
  
 +
Kindly note, while the lesson plan is a guide to teach, you can also add your own teaching elements to enhance the learning process of the children.
  
−
=Videos=
+
 
 +
[Edition 2021]
 +
 
 +
[https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/LessonPlans/DSERT/Math/T+4291_7M_LP.docx '''Rational Numbers Lesson Plan'''] - (Lesson Plan - English)
 +
 
 +
 
 +
[Edition 2019]
 +
 
 +
 
 +
'''https://drive.google.com/open?id=1mkTOP8ldVbALD9Mv-hICBXTdQ052QFtL''' (lesson Plan - English)
 +
 
 +
 
 +
'''https://drive.google.com/open?id=1Jgpdsu-vpchMyxyFaT2_4ECPm65KFuDd''' (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 of the modified version.
 +
 
 +
 
 +
The worksheets of the lesson can be accessed from the worksheet tab.
 +
 
 +
 
 +
 
 +
 
 +
 
 +
<h2>Videos</h2>
  
 
[Author - Kripa S]
 
[Author - Kripa S]
Line 41: Line 75:
  
  
−
=Images=
+
[Contributor - Rashmi MS]
 +
 
 +
Lesson Plan version 1.1 videos
 +
 
 +
https://www.youtube.com/watch?v=9yvtLN_24G0  (Rational numbers - animated)
 +
 
 +
https://www.youtube.com/watch?v=YVerO8RvBGI (Operations on rational numbers - Addition)
 +
 
 +
https://www.youtube.com/watch?v=KFiVWCgYgvs (Operations on rational numbers - Subtraction from 2.40 min)
 +
 
 +
https://www.youtube.com/watch?v=C4cwvkQ0V5w (Operations on rational numbers - multiplication and division from 2 min)
 +
 
 +
https://www.youtube.com/watch?v=lYEAfRawy0c (Conversion of rational numbers to decimal form)
 +
 
 +
https://www.youtube.com/watch?v=WAtWSBF1VJA (Conversion of decimals to rational numbers)
 +
 
 +
https://www.youtube.com/watch?v=nG438ApRuEk (Decimal division)
 +
 
 +
https://www.youtube.com/watch?v=89hzD_lCkH4 (Conversion of units of measurement)
 +
 
 +
 
 +
<h2>Images</h2>
  
 
[Author - Kripa S]
 
[Author - Kripa S]
Line 54: Line 109:
  
  
−
=Activities=
+
[Contributor - Rashmi MS]
 +
 
 +
Lesson Plan version 1.1 images
 +
 
 +
http://4.bp.blogspot.com/_6c3ihz9hDWY/TPJsBrhS1JI/AAAAAAAAAAs/4jIhQR7xfYk/s1600/Rational+numbers.png (Rational numbers)
 +
 
 +
 
 +
 
 +
<h2>Activities</h2>
  
 
[Author - Kripa S]
 
[Author - Kripa S]
Line 64: Line 127:
  
  
−
=Additional Aids=
+
[Contributor - Rashmi MS]
−
[Author - Shashikant Navalgundkar, Adithi Satish, Asha Singanamalli]
+
 
 +
Lesson Plan version 1.1 activities
 +
 
 +
1. Make two teams. One team will write a number on the board. The other will identify if it is a rational number.
 +
 
 +
2. Make a chart of how rational numbers consists of integers, whole numbers, natural numbers.
 +
 
 +
3. Ask students to try and prove the concept that if p1/q1 and p2/q2 are two equivalent rational numbers, then p1 * q2 = p2 * q1
 +
 
 +
4. Ask students to come up with 2 rational numbers for addition and subtraction. Ask other students if the numbers can be added/ subtracted directly or is there a need to calculate the LCM.
 +
 
 +
5. Put some flash cards with different decimal numbers in a box. Ask each student to take one card from it and read the decimal number written in the proper way and to say integer part as well as decimal part in it and to cite the place value of each digit.
 +
 
 +
Class assistant to help with the task.
 +
 
 +
6. Divide the students into groups. Give them one or two small objects each, like chalk, a ruler, a book, paper etc. and ask them the unit of measurement best suited for each. Class assistant to help in performing the task.
 +
 
 +
 
 +
<h2>Additional Aids</h2>
 +
[Contributors - Shashikant Navalgundkar, Adithi Satish, Asha Singanamalli]
 +
 
 +
https://drive.google.com/open?id=0BzNF2YyqQxJ-WU9UNkUzVGNkR1U (Answer Key 1)
 +
 
 +
https://drive.google.com/open?id=0BzNF2YyqQxJ-bWJ4UVI1WTdQN28
 +
 
 +
https://drive.google.com/open?id=0BzNF2YyqQxJ-Mnh2S3dIY3U5alE (Answer Key 2)
 +
 
 +
[Contributor - Rashmi MS]
 +
 
 +
Lesson Plan version 1.1 PPT
 +
 
 +
https://drive.google.com/open?id=1Jgpdsu-vpchMyxyFaT2_4ECPm65KFuDd
 +
 
 +
 
 +
<h2>Transliteration</h2>
 +
 
 +
[Contributor - Apoorva Ramachandra]
 +
{| class="wikitable"
 +
|'''Term''' || '''Transliterated Term''' || '''Translated Term'''
 +
|-
 +
|Rational Numbers || ರಾಷನಲ್ ನಂಬರ್ಸ್ || ಭಾಗಲಬ್ಧ ಸಂಖ್ಯೆಗಳು
 +
|-
 +
|Set || ಸೆಟ್ || ಗಣ
 +
|-
 +
|Standard Form (Simplest Form) || ಸ್ಟ್ಯಾಂಡರ್ಡ್ ಫಾರ್ಮ್ (ಸಿಂಪ್ಲೆಸ್ಟ್ ಫಾರ್ಮ್) || ಆದರ್ಶ ರೂಪ (ಸಂಕ್ಷಿಪ್ತ ರೂಪ)
 +
|-
 +
|Positive Rational Number || ಪಾಸಿಟಿವ್ ರಾಷನಲ್ ನಂಬರ್ || ಧನ ಭಾಗಲಬ್ಧ ಸಂಖ್ಯೆ
 +
|-
 +
|Negative Rational Number || ನೆಗೆಟಿವ್ ರಾಷನಲ್ ನಂಬರ್ || ಋಣ ಭಾಗಲಬ್ಧ ಸಂಖ್ಯೆ
 +
|-
 +
|Multiplicative Inverse || ಮಲ್ಟಿಪ್ಲಿಕೇಟಿವ್ ಇನ್ವರ್ಸ್ || ಗುಣಾಕಾರದ ವಿಲೋಮ
 +
|-
 +
|Additive Inverse || ಅಡ್ಡಿಟಿವ್ ಇನ್ವರ್ಸ್ || ಸಂಕಲನದ ವಿಲೋಮ
 +
|-
 +
|Decimal || ಡೆಸಿಮಲ್ || ದಶಮಾಂಶ
 +
|-
 +
|Terminating Decimal || ಟರ್ಮಿನೇಟಿಂಗ್ ಡೆಸಿಮಲ್ || ಕೊನೆಗೊಳ್ಳುವ ದಶಮಾಂಶ
 +
|-
 +
|Repeating / Recurring Decimal || ರಿಪೀಟಿಂಗ್ / ರಿಕರಿಂಗ್ ಡೆಸಿಮಲ್ || ಪುನರಾವರ್ತ ದಶಮಾಂಶ
 +
|-
 +
 +
|}
 +
 
 +
<h2>Worksheets</h2>
 +
 
 +
==Worksheets Kannada [Version 2021]==
 +
 
 +
[https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/DSERT/Maths/T_4291+ST_4374_v1.pdf Worksheet 1]
 +
 
 +
[https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/DSERT/Maths/T_4291+ST_4375_v1.pdf Worksheet 2]
 +
 
 +
[https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/DSERT/Maths/T_4291+ST_4376_v1.pdf Worksheet 3]
 +
 
 +
[https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/DSERT/Maths/T_4291+ST_4377_v1.pdf Worksheet 4]
 +
 
 +
[https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/worksheet/DSERT/Maths/T_4291+ST_4378_v1.pdf Worksheet 5]
 +
 
 +
==Answer Keys Kannada [Version 2021]==
 +
 
 +
[https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/DSERT/Math/T+4291_ST+4374_V1.pdf Answer 1]
 +
 
 +
[https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/DSERT/Math/T+4291_ST+4375_V1.pdf Answer 2]
  
−
https://drive.google.com/open?id=0BzNF2YyqQxJ-MHlOUzBuRTNxN0E (Answer Key 1)
+
[https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/DSERT/Math/T+4291_ST+4376_V1.pdf Answer 3]
  
−
https://drive.google.com/open?id=0BzNF2YyqQxJ-S3dva0hWLVN6a00
+
[https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/DSERT/Math/T+4291_ST+4377_V1.pdf Answer 4]
  
−
https://drive.google.com/open?id=0BzNF2YyqQxJ-TXdNcmMzWVRmV2M (Answer Key 2)
+
[https://s3.ap-south-1.amazonaws.com/prod.evidyaloka.org/couse_documents/answer_keys/DSERT/Math/T+4291_ST+4378_V1.pdf Answer 5]
  
−
=Transliteration=
+
==Version 2018==
  
−
=Worksheets=
+
[Contributors - Adithi Satish, Shashikant Navalgundkar, Asha Singanamalli]
−
[Author - Adithi Satish, Shashikant Navalgundkar, Asha Singanamalli]
+
  
−
https://drive.google.com/open?id=0BzNF2YyqQxJ-RXZFN2NWNGZuNms
+
https://drive.google.com/open?id=0BzNF2YyqQxJ-Nlc3VDZOYkpBUTg
  
−
https://drive.google.com/open?id=0BzNF2YyqQxJ-WDlxTGVQeHhfa1E (Worksheet 1)
+
https://drive.google.com/open?id=0BzNF2YyqQxJ-MVBibm5qLTYybEE (Worksheet 1)
  
−
https://drive.google.com/open?id=0BzNF2YyqQxJ-TUIzTWVUdHdOazQ (Worksheet 2)
+
https://drive.google.com/open?id=0BzNF2YyqQxJ-YWhHa2REdEZlOG8 (Worksheet 2)
  
−
=Assessments=
+
<h2>Assessments</h2>
 +
[Contributor - Anita Kalkotkar]
  
 +
https://drive.google.com/open?id=1dmptAIUwGdlgt8kBOQcRsLi2gI57HZny (Question Bank - English)
 
<headertabs/>
 
<headertabs/>
 
<vote type=1 />
 
<vote type=1 />
 
<comments/>
 
<comments/>

Latest revision as of 09:48, 30 October 2023

Go To: DSERT-Mathematics-Grade 7

[edit]

Course Content / Subtopic list:


  1. Need For Rational Numbers, What Are Rational Number?
  2. Positive And Negative Rational Numbers, Rational Numbers
  3. Comparison Of Rational Numbers
  4. Operations On Rational Numbers

DSERT

Part 1

Part 2

NCERT

English

Lesson Plan

Dear Volunteer Teacher,

The lesson plan provides an overall picture of what you need to teach. It is recommended that you follow the objectives and the learning outcomes stated in the lesson plan.

We suggest that that you read the chapter thoroughly and research on how to teach the topic effectively to meet the learning outcomes.

Kindly note, while the lesson plan is a guide to teach, you can also add your own teaching elements to enhance the learning process of the children.


[Edition 2021]

Rational Numbers Lesson Plan - (Lesson Plan - English)


[Edition 2019]


https://drive.google.com/open?id=1mkTOP8ldVbALD9Mv-hICBXTdQ052QFtL (lesson Plan - English)


https://drive.google.com/open?id=1Jgpdsu-vpchMyxyFaT2_4ECPm65KFuDd (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 of the modified version.


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



Videos

[Author - Kripa S]


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


[Contributor - Rashmi MS]

Lesson Plan version 1.1 videos

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

https://www.youtube.com/watch?v=YVerO8RvBGI (Operations on rational numbers - Addition)

https://www.youtube.com/watch?v=KFiVWCgYgvs (Operations on rational numbers - Subtraction from 2.40 min)

https://www.youtube.com/watch?v=C4cwvkQ0V5w (Operations on rational numbers - multiplication and division from 2 min)

https://www.youtube.com/watch?v=lYEAfRawy0c (Conversion of rational numbers to decimal form)

https://www.youtube.com/watch?v=WAtWSBF1VJA (Conversion of decimals to rational numbers)

https://www.youtube.com/watch?v=nG438ApRuEk (Decimal division)

https://www.youtube.com/watch?v=89hzD_lCkH4 (Conversion of units of measurement)


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)


[Contributor - Rashmi MS]

Lesson Plan version 1.1 images

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


[Contributor - Rashmi MS]

Lesson Plan version 1.1 activities

1. Make two teams. One team will write a number on the board. The other will identify if it is a rational number.

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

3. Ask students to try and prove the concept that if p1/q1 and p2/q2 are two equivalent rational numbers, then p1 * q2 = p2 * q1

4. Ask students to come up with 2 rational numbers for addition and subtraction. Ask other students if the numbers can be added/ subtracted directly or is there a need to calculate the LCM.

5. Put some flash cards with different decimal numbers in a box. Ask each student to take one card from it and read the decimal number written in the proper way and to say integer part as well as decimal part in it and to cite the place value of each digit.

Class assistant to help with the task.

6. Divide the students into groups. Give them one or two small objects each, like chalk, a ruler, a book, paper etc. and ask them the unit of measurement best suited for each. Class assistant to help in performing the task.


Additional Aids

[Contributors - Shashikant Navalgundkar, Adithi Satish, Asha Singanamalli]

https://drive.google.com/open?id=0BzNF2YyqQxJ-WU9UNkUzVGNkR1U (Answer Key 1)

https://drive.google.com/open?id=0BzNF2YyqQxJ-bWJ4UVI1WTdQN28

https://drive.google.com/open?id=0BzNF2YyqQxJ-Mnh2S3dIY3U5alE (Answer Key 2)

[Contributor - Rashmi MS]

Lesson Plan version 1.1 PPT

https://drive.google.com/open?id=1Jgpdsu-vpchMyxyFaT2_4ECPm65KFuDd


Transliteration

[Contributor - Apoorva Ramachandra]

Term Transliterated Term Translated Term
Rational Numbers ರಾಷನಲ್ ನಂಬರ್ಸ್ ಭಾಗಲಬ್ಧ ಸಂಖ್ಯೆಗಳು
Set ಸೆಟ್ ಗಣ
Standard Form (Simplest Form) ಸ್ಟ್ಯಾಂಡರ್ಡ್ ಫಾರ್ಮ್ (ಸಿಂಪ್ಲೆಸ್ಟ್ ಫಾರ್ಮ್) ಆದರ್ಶ ರೂಪ (ಸಂಕ್ಷಿಪ್ತ ರೂಪ)
Positive Rational Number ಪಾಸಿಟಿವ್ ರಾಷನಲ್ ನಂಬರ್ ಧನ ಭಾಗಲಬ್ಧ ಸಂಖ್ಯೆ
Negative Rational Number ನೆಗೆಟಿವ್ ರಾಷನಲ್ ನಂಬರ್ ಋಣ ಭಾಗಲಬ್ಧ ಸಂಖ್ಯೆ
Multiplicative Inverse ಮಲ್ಟಿಪ್ಲಿಕೇಟಿವ್ ಇನ್ವರ್ಸ್ ಗುಣಾಕಾರದ ವಿಲೋಮ
Additive Inverse ಅಡ್ಡಿಟಿವ್ ಇನ್ವರ್ಸ್ ಸಂಕಲನದ ವಿಲೋಮ
Decimal ಡೆಸಿಮಲ್ ದಶಮಾಂಶ
Terminating Decimal ಟರ್ಮಿನೇಟಿಂಗ್ ಡೆಸಿಮಲ್ ಕೊನೆಗೊಳ್ಳುವ ದಶಮಾಂಶ
Repeating / Recurring Decimal ರಿಪೀಟಿಂಗ್ / ರಿಕರಿಂಗ್ ಡೆಸಿಮಲ್ ಪುನರಾವರ್ತ ದಶಮಾಂಶ

Worksheets

Worksheets Kannada [Version 2021]

Worksheet 1

Worksheet 2

Worksheet 3

Worksheet 4

Worksheet 5

Answer Keys Kannada [Version 2021]

Answer 1

Answer 2

Answer 3

Answer 4

Answer 5

Version 2018

[Contributors - Adithi Satish, Shashikant Navalgundkar, Asha Singanamalli]

https://drive.google.com/open?id=0BzNF2YyqQxJ-Nlc3VDZOYkpBUTg

https://drive.google.com/open?id=0BzNF2YyqQxJ-MVBibm5qLTYybEE (Worksheet 1)

https://drive.google.com/open?id=0BzNF2YyqQxJ-YWhHa2REdEZlOG8 (Worksheet 2)

Assessments

[Contributor - Anita Kalkotkar]

https://drive.google.com/open?id=1dmptAIUwGdlgt8kBOQcRsLi2gI57HZny (Question Bank - English)

0.00
(0 votes)


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