Indian Abacus Endeavours Tutor Training Manual_6th Level - free

Indian Abacus

Endeavours Tutor’s Training Manual

Abacus Mental Arithmetic Education for Brain Skills

LEVEL 6

Published by Indian Abacus Private Limited, Global Head Office: No. A1 – 1857, 13th Main Road, 6th Avenue, Anna Nagar West, Chennai – 600 040. Tamilnadu, India. First Edition: March, 2014 Patent pending: India & International (US) Indian Abacus – Digital Indian Abacus – Non Digital Indian Abacus – Digital for Tutor’s Indian Abacus – Non Digital for Tutor’s

Copyright: Endeavours – Tutor’s Training Manual This publication is copyrighted

All rights reserved by Indian Abacus Private Limited, No part of this publication should be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise without the prior permission of the owner and the publisher. This book may not be lent, resold, hired out or otherwise disposed of by way of trade in any form of binding or cover other than that in which it is published, without the prior consent of the owner / publisher

ISBN NO.: 978–93–83795–12–3

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Index

INDEX S. No.

Contents

Page No

1

1st week Lesson plan and Guidelines

1

2

2nd week Lesson plan and Guidelines

5

3

3rd week Lesson plan and Guidelines

8

4

4th week Lesson plan and Guidelines

11

5

5th week Lesson plan and Guidelines

14

6

6th week Lesson plan and Guidelines

17

7

7th week Lesson plan and Guidelines

20

8

8th week Lesson plan and Guidelines

23

9

9th week Lesson plan and Guidelines

26

10

10th week Lesson plan and Guidelines

29

11

11th week Lesson plan and Guidelines

32

12

12th week Lesson plan and Guidelines

35

13

Notes

38

ENDEAVOURS

Lesson Plan Week 1

Activities to be followed for 1st one hour session

S.No.

Activity class work

Time (Min)

Mixed Formulae: Book A Page Nos. 1,2,3 & 4 Book B Page Nos. 1,2,3 & 4

1

Speed Writing

5

Multiples of 5 sequentially forward and backward 0510152025, 2520151005, 3035404550, 5045403530

2

Image Flash

1

Reading the Slider Images

3

Oral Sums Practice

10

Abacus Sums: 1,2,3&4D – 20R Continuous Numbers 1 to 310 Do 1 +2 +3 +4 +5 +6 +7 +8 +9 +10 ... 48205 on the abacus.

4

Fingering Practice

10

5 6

Oral Sums Practice

10

Book Practice

10

7

Speed Writing

5

Continuous Numbers 310 to 1 Do 48205 –310 –309 –308 –307 ………..= 0 on the abacus. Repeated no. +5786/Addition of any four different digits repeatedly on the abacus. Add 5786 repeatedly for the duration of one minute. Repeated no. 567/ Subtraction of any three different digits repeatedly on the abacus. Set 113400 on the abacus, subtract 567repeatedly until you reach zero. Abacus Sums: 2 & 3 D – 20R Class work: Book A – Page Nos. 1 & 2 Multiples of 5 sequentially forward and backward 0510152025, 2520151005, 3035404550, 5045403530

Activities to be followed for 2nd one hour session 8

Image Flash

9

Oral sums practice

1 35

Reading the Slider Images Mental Sums: 1,2,3&4D – 10R, 2 & 3D – 10R, 3D – 10R

ENDEAVOURS

Fixed No.+1111: Addition of four same digits repeatedly on the abacus. Do +1111 repeatedly for the duration of one minute. Fixed no. –111/Subtraction of three same digits repeatedly on the abacus. Set 22200 on the abacus, subtract 111 repeatedly until you reach zero. Horizontal Addition: Add 123456789 horizontally on the abacus for 9 steps until you reach the value 1111111101 on the abacus. Horizontal Subtraction: Set 1111111101 on the abacus, subtract 123456789 horizontally for 9 steps until you reach zero.

10

Fingering Practice

10

11

Oral Sums Practice

10

Abacus Sums: 3D – 20R

12

Book Practice

10

Class work : Book A – Page Nos. 3 & 4

13

Speed Writing

5

Random Numbers: 4 digits –10 rows Listening and Writing exercise

14

Book Practice

Indian Abacus – Tutor Training Manual

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Home Work: Book B – Page Nos. 1 – 4

1

Guidelines Week 1

Book Practice: Book A – Page Nos. 1,2,3 & 4 Book B – Page Nos. 1,2,3 & 4

1.

Speed Writing: Speed writing practice is aimed at writing numbers at a fast pace, neatly and legibly by the children. Speed writing initially may affect neat and legible handwriting of numbers. But with steady practice the skill to write at good speed neatly and legibly is attained. Since practice is a must for every child, children shall write numbers as per tutors instructions within a set time. After a month of practice the children will be able to write fast, neatly and legibly. Abacus Tutors should ensure legibility & neatness first and subsequently speed. Speed writing of numbers – Multiples of 5 sequentially forward and backward 0510152025 2520151005 3035404550 5045403530 I. Write the numbers as mentioned above in the book, row by row for a duration of one minute. II. Direct View: Simple writing looking at what is written on the note book III. Indirect View: Writing of numbers without looking at what is written IV. Left Hand Writing: The same number writing practice using left hand. V. Left handers must write the numbers using right hand.

2.

Image Flash: Reading the Slider images. “Image Flash” is the activity which is done to give larger scope for the students to read Abacus slider images representing values using which the students could have extended practice and also better assessment of their skills in reading the values of images at a speed. Flash Cards were used earlier, but with the advent Indian Abacus program now the students have scope to view limitless number of images. With the usage of skills to read the constantly changing image values, students experience better challenges which ultimately enhance their Visio–spatial memory skills necessary to perform better in doing faster and accurate mental arithmetic skills by image of Abacus. Speed and accuracy in performing Mental Arithmetic by image of Abacus indirectly reflect their Concentration & Memory skills. The Abacus Tutor during “Image Flash” session alerts the students to focus on the activity of reading the values of slider images. The Abacus tutor would after saying Start manipulates the sliders of the tool – Indian Abacus for Tutor-continuously to make the students read the images one after the other and write down the number–value of each of such images flashed on the Tutor's Abacus and they should write the number values on their note books. The Abacus Tutor actually writes down a series of numbers Single, double, triple, 4 digits, as the case may be, on a paper first and during the activity she would manipulate the sliders looking at the numbers she wrote down which the students read and write. It would be then easier to check the accuracy. Advantages of Image Flash over the Flash Cards usage: Limitless numbers could be given for practice & assessment. Students every time get new set of numbers, as against the Flash Cards which are same all through. Students could follow the Tutor's manipulation of Sliders giving scope to correct the fingering.

ENDEAVOURS

2

Guidelines Week 1

3.

Oral sums Practice: – 1,2,3&4 digits – 20 rows Oral sums called out to the students to calculate and give the correct answers is a must and the time to be allotted has to be properly implemented. Listening to the sums called out and to do the same and to give answers, not only enhances the Listening skills, but also enables the memory to become stronger, as apart from looking & touching to calculate the sums, the hearing sense also adds resulting in three different sensory impulses to reflect as the brain skills. Call out random numbers to children and instruct them to compute the called out numbers using addition and subtraction method on their abacus and write the answers in the fingering section of the book.

4.

Fingering Practice: Continuous Numbers +1 to +310 Do 1 +2 +3 ……………= 48205 on the abacus. Using 9th column on the abacus. Add the numbers from 1 to 310 sequentially using required formulae in the 9th column until you reach the value 48205 on the abacus. Continuous Numbers: –310 to –1 Do –310 –309 –308 …………..=0 on the abacus. Using 9th column set 48205 on the abacus, subtract numbers on the reverse from 310 to 1 using required formulae until you reach zero. Repeated no +5786/Addition of any four different digits repeatedly on the abacus. Do addition of 5786 repeatedly for a duration of one minute. Using 9th column set 5786 on the abacus, (add 5000 in the 12th column, add 700 in the 11th column, add 80 in the 10th column and add 6 in the 9th column repeatedly using the required formulae for a duration of one minute.

ENDEAVOURS

Repeated no –567/Subtraction of any three different digits repeatedly on the abacus. Using 9th column set 113400 on the abacus, subtract 567 repeatedly using required formulae until you reach zero (subtract 500 in the 11th column, subtract 60 in the 10th column and subtract 7 in the 9th column). 5

Oral Sums Practice: 2 & 3 digits – 20 rows Call out random numbers to the children and instruct them to compute the called out numbers on their abacus and write the answers in the fingering section of the book.

6.

Book Practice: Class work : Book A – Page Nos. 1& 2

7.

Speed Writing: Speed writing of numbers – Multiples of 5 sequentially forward and backward

I. II. III. IV. V.

0510152025 2520151005 3035404550 5045403530 Write the numbers as mentioned above in the book, row by row for a duration of one minute. Direct View: Simple writing looking at what is written on the note book Indirect View: Writing of numbers without looking at what is written Left Hand Writing: The same number writing practice using left hand. Left handers must write the numbers using right hand.

Indian Abacus – Tutor Training Manual

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Guidelines Week 1

8.

Image Flash: Reading the Slider images ( Refer Page Nos. 2)

9.

Oral Sums Practice: Mental Sums: 1,2, 3 & 4 digits – 10 rows, 2 & 3 digits – 10 rows, 3 digits –10 rows. Call out random numbers to the children and instruct them to compute the called out numbers mentally by visualizing and moving the sliders of abacus mentally according to the numbers and write the answers in the fingering section of the book.

10.

Fingering Practice: Fixed Number Practice: +1111 (Addition of four same digits) Do addition of 1111 repeatedly for a duration of one minute. Using 9th column set 1111 on the abacus, (add 1000 in the 12th column, 100 in the 11th column, add 10 in the 10th column and add 1 in the 9th column) repeatedly using the required formulae for a duration of one minute. Fixed Number Practice: –111 (Subtraction of three same digits) Set 22200 and do –111 repeatedly until you reach zero. Using 9th column set 22200 on the abacus, (subtract 100 in the 11th column, subtract 10 in the 10th column and subtract 1 in the 9th column) repeatedly using the required formulae until you reach zero. Horizontal Addition: Starting from the 15th column, add 123456789 horizontally on the abacus until you reach the value 1111111101 on the abacus. (set 1 in the 15th column, set 2 in the 14th column, set 3 in the 13th column, set 4 in the 12th column, set 5 in the 11th column, set 6 in the 10th column, set 7 in the 9th column, set 8 in the 8th column and set 9 in the 7th column). Add the Same number in the Same column for nine times until you reach the value 1111111101 on the abacus. Horizontal Subtraction: Starting from the 16th column set 1111111101 on the abacus, subtract 123456789 horizontally until you reach zero on the abacus. (Subtract 1 in the 15th column, 2 in the 14th column, 3 in the 13th column, 4 in the 12th column, 5 in the 11th column, 6 in the 10th column, 7 in the 9th column, 8 in the 8th column and 9 in the 7th column). Subtract the Same number in the Same column for nine times until you reach zero on the abacus. Oral Sums Practice: 3 digits 20 rows Call out random numbers to the children and instruct them to compute the called out numbers on their abacus and write the answers in the fingering section of the book.

12.

Book Practice: Class work : Book A – Page Nos. 3 & 4

13.

Speed Writing: Random Numbers – Listening and Writing exercise Dictate 4 digits 10 row numbers continuously and instruct the children to write the same in the speed note book as the digits are being called out. After the first line is completed, say 'next' and then dictate another set of 4 digits – 10 rows numbers, in this way dictate at least 10 sets of numbers.

14.

Book Practice: Home Work :Book B – Page Nos. 1 – 4

4

ENDEAVOURS

11.

Lesson Plan Week 2

Activities to be followed for 1st one hour session

S.No.

Activity class work

Time (Min)

Mixed Formulae: Book A Page Nos. 5,6,7 & 8 Book B Page Nos. 5,6,7 & 8

1

Speed Writing

5

Multiples of 2 sequentially forward and backward 0204060810,1008060402,1214161820,2018161412

2

Image Flash

1

Reading the Slider Images

3

Oral Sums Practice

10

Abacus Sums: 1,2,3&4D – 20R Continuous Numbers: 1 to 320 Do 1 +2 +3 +4 +5 +6 +7 +8 +9 +10 ...51360 on the abacus

4

Fingering Practice

10

5 6

Oral Sums Practice

10

Book Practice

10

7

Speed Writing

5

Continuous Numbers: 320 to 1 Do 51360 –320 –319 –318 –317 ……….= 0 on the abacus. Repeated no. +9123/Addition of any four different digits repeatedly on the abacus. Add 9123 repeatedly for a duration of one minute. Repeated no. -248/ Subtraction of any three different digits repeatedly on the abacus. Set 49600 on the abacus, subtract 248 repeatedly until you reach zero. Abacus Sums: 2 & 3 D – 20R Class work: Book B – Page Nos. 5 & 6 Multiples of 2 sequentially forward and backward 0204060810,1008060402,1214161820,2018161412

Activities to be followed for 2nd one hour session 8

Image Flash

1

Reading the Slider Images

9

Oral sums practice

35

Mental Sums: 1,2,3&4D – 10R, 2 & 3D – 10R, 3D – 10R

ENDEAVOURS

Fixed No+2222 Addition of four same digits repeatedly on the abacus. Do +2222 repeatedly for a duration of one minute. Fixed no. –222/Subtraction of three same digits repeatedly on the abacus. Set 44400 on the abacus, subtract 222 repeatedly until you reach zero. Horizontal Addition: Add 123456789 horizontally on the abacus for 9 steps until you reach the value 1111111101 on the abacus. Horizontal Subtraction: Set 1111111101 on the abacus, subtract 123456789 horizontally for 9 steps until you reach zero.

10

Fingering Practice

10

11

Oral Sums Practice

10

Abacus Sums: 3D – 20R

12

Book Practice

10

Class work: Book B – Page Nos. 7 & 8

13

Speed Writing

5

Random Numbers: 4 digits 10 rows Listening and Writing exercise

14

Book Practice

–

Home Work: Book A – Page Nos. 5 – 8

Indian Abacus – Tutor Training Manual

5

Guidelines Week 2

Book Practice: Book A – Page Nos. 5,6,7,8 Book B – Page Nos. 5,6,7,8 1.

Speed Writing: Speed writing of numbers –Multiples of 2 sequentially forward and backward

0204060810 1008060402 1214161820 2018161412

2.

Image Flash: Reading the Slider Images (Refer Page Nos. 2)

3.

Oral Sums Practice : 1,2,3 & 4 digits –20 rows Call out random numbers to the children and instruct them to compute the called out numbers on their abacus and write the answers in the fingering section of the book.

4.

Fingering Practice: Continuous Numbers +1 to +320 Do 1 +2 +3 ……………= 51360 on the abacus. Using 9th column on the abacus, add the numbers from 1 to 320 sequentially using required formulae in the 9th column until you reach the value 51360 on the abacus. Continuous Numbers: –320 to –1 Do –320 –319 –318 …………..=0 on the abacus. Using 9th column set 51360 on the abacus, subtract numbers on the reverse from 320 to 1 using required formulae until you reach zero. Repeated no +9123/Addition of any four different digits repeatedly on the abacus. Do addition of 9123 repeatedly for a duration of one minute. Using 9th column set 9123 on the abacus, (add 9000 in the 12th column, add 100 in the 11 column, add 20 in the 10th and add 3 in the 9th column) repeatedly using the required formulae for a duration of one minute. Repeated no –248/Subtraction of any three different digits repeatedly on the abacus. Using 9th column set 49600 on the abacus, subtract 248 repeatedly using required formulae until you reach zero (subtract 200 in the 11th column, subtract 40 in the 10th column and subtract 8 in the 9th column).

5.

Oral Sums Practice: 2 & 3 digits – 20 rows Call out random numbers to the children and instruct them to compute the called out numbers on their abacus and write the answers in the fingering section of the book.

6.

Book Practice: Class work : Book B – Page Nos. 5 & 6

7.

6

ENDEAVOURS

Speed Writing: Speed writing of numbers – Multiples of 2 sequentially forward and backward 0204060810 1008060402 1214161820 2018161412

Guidelines Week 2

8.

Image Flash: Reading the Slider Images (Refer Page Nos. 2)

9.

Oral Sums Practice: – Mental Sums: 1,2,3&4 digits – 10 rows, 2 & 3 digits – 10 rows, 3 digits 10 rows Call out random numbers to the children and instruct them to compute the called out numbers mentally by visualizing and moving the sliders of abacus mentally according to the numbers and write the answers in the fingering section of the book.

10.

Fingering Practice: Fixed Number Practice: +2222 (Addition of four same digits) Do addition of 2222 repeatedly for the duration of one minute. Using 9th column set 2222 on the abacus, (add 2000 in the 12th column, add 200 in the 11th column and add 20 in the 10th column and add 2 in the 9th column) repeatedly using the required formulae for a duration of one minute. Fixed Number Practice: –222 (Subtraction of three same digits) Set 44400 and do –222 repeatedly until you reach zero. Using 9th column set 44400 on the abacus, (subtract 200 in the 11th column, subtract 20 in the 10th column and subtract 2 in the 9th column) repeatedly using the required formulae until you reach zero. Horizontal Addition: Starting from the 15th column, add 123456789 horizontally on the abacus until you reach the value 1111111101 on the abacus. (set 1 in the 15th column, set 2 in the 14th column, set 3 in the 13th column, set 4 in the 12th column, set 5 in the 11th column, set 6 in the 10th column, set 7 in the 9th column, set 8 in the 8th column and set 9 in the 7th column). Add the Same number in the Same column for nine times until you reach the value 1111111101 on the abacus.

ENDEAVOURS

Horizontal Subtraction: Starting from the 16th column set 1111111101 on the abacus, subtract 123456789 horizontally until you reach zero on the abacus. (Subtract 1 in the 15th column, 2 in the 14th column, 3 in the 13th column, 4 in the 12th column, 5 in the 11th column, 6 in the 10th column, 7 in the 9th column, 8 in the 8th column and 9 in the 7th column). Subtract the Same number in the Same column for nine times until you reach zero on the abacus. 11.

Oral Sums Practice: 3 digits – 20 rows Call out random numbers to the children and instruct them to compute the called out numbers on their abacus and write the answers in the fingering section of the book.

12.

Book Practice: Class work : Book B – Page Nos. 7 & 8

13.

Speed Writing: Random Numbers – Listening and Writing exercise Dictate 4 digits 10 rows numbers continuously and instruct the children to write the Same in the speed writing section of the book as the digits are being called out. After the first line is completed, say 'next' and then dictate another set of 4 digits 10 rows numbers, in this way dictate at least 10 sets of numbers.

14.

Book Practice: Home Work : Book A – Page Nos.5 – 8

Indian Abacus – Tutor Training Manual

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