Indian Abacus
Stars Tutor Training Manual
Abacus Mental Arithmetic Education for Brain Skills
LEVEL 8
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 Indian Abacus – Non Digital for Tutor
Copyright: Stars – Tutor 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.: 978–93–83795–14–7
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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
STARS
Lesson Plan Week 1
Activities to be followed for 1st one hour session
S.No.
Activity class work
Time (Min)
1
Speed Writing
5
2
Image Flash
1
3
Oral Sums Practice
10
Mixed Formulae: Book A Page Nos. 1,2,3 & 4 Book B Page Nos. 1,2,3 & 4 Multiples of 5 sequentially forward and backward & backward and forward 0510152025,5045403530, 2520151005,3035404550 Reading the Slider Images
Abacus Sums: 5D – 3R & 5D – 5R Continuous Numbers: 1 to 510 Do 1 +2 +3 +4 +5 +6 +7 +8 +9 +10.... = 130305 on the abacus.
4
Fingering Practice
10
5 6
Oral Sums Practice
10
Book Practice
10
7
Speed Writing
5
Continuous Numbers: 510 to 1 Do 130305 –510 –509 –508 –507 ……….. = 0 on the abacus. Repeated no. +76543/Addition of any five different digits repeatedly on the abacus. Add 76543 repeatedly for a duration of one minute. Repeated no. –9753/ Subtraction of any four different digits repeatedly on the abacus. Set 1950600 on the abacus and subtract 9753 repeatedly until you reach zero. Abacus Sums: 5 & 6D – 3R & 5 & 6D – 5R Class work: Book A – Page Nos. 1 & 2 Multiples of 5 sequentially forward and backward & backward and forward 0510152025,5045403530, 2520151005,3035404550
Activities to be followed for 2nd one hour session 8
Image Flash
9
Oral sums practice
1 35
Reading the Slider Images Mental Sums: 5D – 3R & 5 & 6D – 3R & 6D – 3R
STARS
Fixed Numbers: Addition of five same digits repeatedly on the abacus. Do +11111 repeatedly for a duration of one minute. Fixed no. –1111/Subtraction of any four same digits repeatedly on the abacus. Set 222200 on the abacus and subtract 1111 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 and subtract 123456789 horizontally for 9 steps until you reach zero.
10
Fingering Practice
10
11
Oral Sums Practice
10
Abacus Sums: 6D – 3R & 6D –5R
12
Book Practice
10
Class work: Book A – Page Nos. 3 & 4
13
Speed Writing
5
Random Numbers: 5 digits –10 rows Listening and Writing exercise
14
Book Practice
–
Home Work: Book A– Page Nos. 1 – 4
Indian Abacus – Tutor Training Manual
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 & Backward and forward 0510152025 5045403530 2520151005 3035404550
I. II. III. IV. V. 2.
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.
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 thereby giving scope to correct the fingering.
STARS
2
Guidelines Week 1
3.
Oral sums Practice: – 5digits – 3 rows, 5 digits 5 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 to give answers, not only enhances the Listening skills, but also enables the memory to become stronger, as apart from the senses of vision & touch to do the slider manipulation hearing sense, also adds to enhance the brain skills. Callout random numbers to children and instruct them to compute the called our numbers on their Abacus and write the answers in the fingering section of the book.
4.
Fingering Practice: Continuous Numbers +1 to +510 Do 1 +2 +3 ……………= 130305 on the abacus. Using 9th column to start on the abacus, add the numbers from 1 to 510 sequentially using the required formulae in the 9th column until you reach the value 130305 on the abacus. Continuous Numbers: –510 to –1 Do –510 –509 –508 …………..=0 on the abacus. Using 9th column to start set 130305 on the abacus and subtract numbers on the reverse from 510 to 1 using the required formulae until you reach zero. Repeated no +76543/Addition of any five different digits repeatedly on the abacus. Do addition of 76543 repeatedly for a duration of one minute. Using 9th column to start set 76543 on the abacus, (add 70000 in the 13th column, add 6000 in the 12th column, add 500 in the 11th column, add 40 in the 10th column and add 3 in the 9th column) repeatedly using the required formulae for a duration of one minute.
STARS
Repeated no –9753/Subtraction of any four different digits repeatedly on the abacus. Using 9th column to start, set 1950600 on the abacus and subtract 9753 repeatedly using required formulae until you reach zero (subtract 9000 in the 12th column, 700 in the 11th column, subtract 50 in the 10th column and subtract 3 in the 9th column). 5
Oral Sums Practice: 5 & 6 digits – 3 rows, 5 & 6 digits – 5 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 & backward and forward 0510152025 5045403530 2520151005 3035404550 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.
Indian Abacus – Tutor Training Manual
3
Guidelines Week 1
8.
Image Flash: Reading the Slider images ( Refer Page Nos. 2)
9.
Oral Sums Practice: Mental Sums: 5 digits – 3 rows, 5 & 6 digits – 3 rows, 6 digits – 3 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: +11111 (Addition of five same digits) Do addition of 11111 repeatedly for a duration of one minute. Using 9th column to start set 11111 on the abacus, (add 10000 in the 13th column, 1000 in the 12th column add 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: –1111 (Subtraction of four same digits) Set 222200 and do –1111 repeatedly until you reach zero. Using 9th column to start set 222200 on the abacus,( subtract 1000 in the 12th column, 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.
11.
Oral Sums Practice: 6 digits 3 rows, 6 digits – 5 rows Call out random numbers to children and instruct them to compute the called out numbers on their abacus and write the answers in the fingering section of book.
12.
Book Practice: Class work – Book A – Page Nos. 3 & 4
13.
Speed Writing: Random Numbers – Listening and Writing exercise:– Dictate 5 digits 10 row numbers continuously and instruct 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 5 digits 10 rows numbers, in this way dictate at least 10 sets of numbers.
14.
Book Practice: Home Work : Book A– Page Nos. 1 – 4
STARS
4
Lesson Plan Week 2
Activities to be followed for 1st one hour session
S.No.
Activity class work
Time (Min)
1
Speed Writing
5
2
Image Flash
1
3
Oral Sums Practice
10
Mixed Formulae: Book A Page Nos. 5,6,7 & 8 Book B Page Nos. 5,6,7 & 8 Multiples of 2 sequentially forward and backward & backward and forward 0204060810,2018161412 ,1008060402 ,1214161820 Reading the Slider Images
Abacus Sums: 5D – 3R & 5D – 5R Continuous Numbers: 1 to 520 Do 1 +2 +3 +4 +5 +6 +7 +8 +9 +10 ....= 135460 on the abacus
4
Fingering Practice
10
5 6
Oral Sums Practice
10
Book Practice
10
7
Speed Writing
5
Continuous Numbers: 520 to 1 Do 135460 –520 –519 –518 –517 ……….. =0 on the abacus. Repeated no. +86429/Addition of any five different digits repeatedly on the abacus. Add 86429 repeatedly for a duration of one minute. Repeated no. –9742/ Subtraction of any three different digits repeatedly on the abacus. Set 1948400 on the abacus and subtract 9742 repeatedly until you reach zero. Abacus Sums: 5 & 6D – 3R & 5 & 6D – 5R Class work: Book A– Page Nos. 5 & 6 Multiples of 2 sequentially forward and backward & backward and forward 0204060810,2018161412 ,1008060402 ,1214161820
Activities to be followed for 2nd one hour session 8
Image Flash
1
Reading the Slider Images
9
Oral sums practice
35
Mental Sums: 5D – 3R & 5 & 6D – 3R & 6D – 3R
STARS
Fixed Numbers: Addition of five same digits repeatedly on the abacus. Do +22222 repeatedly for the duration of one minute. Fixed no. –2222/Subtraction of any three same digits repeatedly on the abacus. Set 444400 on the abacus and subtract 2222 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 and subtract 123456789 horizontally for 9 steps until you reach zero.
10
Fingering Practice
10
11
Oral Sums Practice
10
Abacus Sums: 6D – 3R & 6D –5R
12
Book Practice
10
Class work: Book A– Page Nos. 7 & 8
13
Speed Writing
5
Random Numbers: 5 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.
2.
Speed Writing: Speed writing of numbers –Multiples of 2 sequentially forward and backward & backward and forward 0204060810 2018161412 1008060402 1214161820 Image Flash: Reading the Slider Images (Refer Page Nos. 2)
3.
Oral Sums Practice : 5 digits – 3 rows & 5 digits – 5 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 +520 Do 1 +2 +3 ……………= 135460 on the abacus. Using 9th column to start on the abacus, add the numbers from 1 to 520 sequentially using the required formulae in the 9th column until you reach the value 135460 on the abacus. Continuous Numbers: –520 to –1 Do –520 –519 –518 …………..=0 on the abacus. Using 9th column to start set 135460 on the abacus and subtract numbers on the reverse from 520 to 1 using the required formulae until you reach zero. Repeated no +86429/Addition of any five different digits repeatedly on the abacus. Do addition of 86429 repeatedly for a duration of one minute. Using 9th column to start set 86429 on the abacus, (add 80000 in the 13th column, 6000 in the 12th column, add 400 in the 11th column, add 20 in the 10th and add 9 in the 9th column) repeatedly using the required formulae for a duration of one minute. Repeated no –9742/Subtraction of any four different digits repeatedly on the abacus. Using 9th column to start set 1948400 on the abacus and subtract 9742 repeatedly using required formulae until you reach zero (subtract 9000 in the 12th column, 700 in the 11th column, subtract 40 in the 10th column and subtract 2 in the 9th column).
5.
Oral Sums Practice: 5 & 6 digits – 3 rows, 5 & 6 digits – 6 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. 5 & 6
7.
6
STARS
Speed Writing: Speed writing of numbers – Multiples of 2 sequentially forward and backward & backward and forward 0204060810 2018161412 1008060402 1214161820
Guidelines Week 2
8.
Image Flash: Reading the Slider Images (Refer Page Nos. 2)
9.
Oral Sums Practice: – Mental Sums: 5 digits – 3 rows, 5 & 6 digits – 3 rows, 6 digits – 3 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: +22222 (Addition of five same digits) Do addition of 22222 repeatedly for a duration of one minute. Using 9th column to start set 22222 on the abacus, (add 20000 in the 13th column, 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: –2222 (Subtraction of four same digits) Set 444400 and do –2222 repeatedly until you reach zero. Using 9th column to start set 444400 on the abacus, subtract 2000 in the 12th column, 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.
STARS
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: 6 digits – 3 rows & 6 digits – 5 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. 7 & 8
13.
Speed Writing: Random Numbers – Listening and Writing exercise:– Dictate 5 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 5 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
7
