Abacus Mental Math Syllabus
Duration- 14 Weeks
"What will be taught?"
Via Finger Abacus & Abacus tool Method:
1 to 99 numbers
Addition & subtraction
Abacus Combination Concepts- +5 combination + 5 combinations and + 10 combinations
Via Mental Math Method:
Mental Math Basics- Visualization of beads
Mental Addition & Subtraction- Non combination (Up to 99)
"Outcome in Children"
Upon the completion of Level 1, the children shall be able to do;
Addition and subtraction of 2 digits numbers via Finger Abacus Method and on the Abacus tool.
Mental Calculation- Addition & Subtraction of 2 digits numbers (non combination only)
For example- Children shall be able to do the below given calculations on the Fingers and the Abacus tool;
5 + 13 + 9 + 31 + 29 =?
26 + 3 - 15 + 56 =?
56 + 10 - 15 + 14 =?
&
Mental calculation of 2 digits numbers addition & subtraction (non-combination).
Duration- 12 Weeks
"What will be taught?"
Via Finger Abacus & Abacus tool Method:
Addition & subtraction up to 99
Abacus Combination Concepts- -10 combinations, Double combinations.
Multiplication- 2 digits x 1 digit
Via Mental Math Method:
Addition & subtraction- +5 combination, -5 combination (+10 combinations)
"Outcome in Children"
Upon the completion of Level 2, the children shall be able to do;
All type of addition and subtraction of 2 digits numbers via Finger Abacus Method and via the Abacus tool.
Multiplication of 2-digit numbers by 1-digit numbers via Abacus tool.
Mental Calculation- Addition and Subtraction of 2 digit numbers.
For example- Children shall be able to do the below given calculations;
87 + 18 + 57 + 62 + 89 =?
94 + 76 - 67 + 46 - 32 =?
&
89 x 9 =?
67 x 7 =?
46 x 8 =?
&
Mental calculation of 2 digits numbers addition & subtraction (non-combination & combination both). Example below;
66-1+21+11 (Mentally)
39-5-11+21 (Mentally)
Duration- 12 Weeks
"What will be taught?"
Via Abacus tool Method:
Addition & subtraction- 2 & 3 digits calculations (mixed combinations)
Decimal addition and subtraction- Up to 3 digits
Multiplication- 2 digits x 1 digit, 3 digits x 1 digit and 4 digit x 1 digit
Via Mental Math Method:
Addition & subtraction- 2 digits (all combinations)
Multiplication- 2 digits x 1 digit, 3 digits x 1 digit
"Outcome in Children"
Upon the completion of Level 3, the children shall be able to do;
All type of addition and subtraction of 2 and 3 digits numbers via Finger Abacus Method and via the Abacus tool.
Decimal Addition and subtraction for up to 3 digits numbers.
Multiplication of 2 digit, 3 digit and 4 digit numbers by 1-digit numbers via Abacus tool.
Mental Calculation- 2 digits addition and subtraction without using Abacus tool.
Mental Calculation- Multiplication of 2 digits numbers by 1 digit numbers and 3 digits numbers multiplied by 1 digit numbers without using Abacus tool.
For example- Children shall be able to do the below given calculations;
586 + 259 + 57 + 83 - 278=?
259 + 574 - 663 + 57 - 176=?
&
289.28 + 46.85 - 54.89=?
127.76 + 29.87 - 88.34=?
&
4768 x 9=?
384 x 7=?
9475 x 8=?
&
Mental Calculations
96 + 64 - 25 + 85 =? (Mentally)
86 x 8 =? (Mentally)
846 x 6 =? (Mentally)
Duration- 12 Weeks
"What will be taught?"
Via Abacus Method:
Addition & subtraction- 2, 3 & 4 digits (all combinations)
Decimals calculation- up to 4 digits (all combinations)
Multiplication- (3 & 4 digits x 1 digit) and (2 digits x 2 digits)
Division- 2, 3 and 4 digits ÷ 1 digits
Via Mental Math Method:
Mental Calculation- Upto 3 digits addition and subtraction without using Abacus tool.
Mental Calculation- Upto 3 digits decimal addition and subtraction without using Abacus tool.
Mental Calculation- Multiplication of upto 4 digits numbers multiplied by 1 digit without using Abacus tool.
"Outcome in Children"
Upon the completion of Level 4, the children shall be able to do;
All type of addition and subtraction of 2 and 3 and 4 digits numbers on the Abacus tool.
Decimal Addition and subtraction for upto 4 digits numbers.
Multiplication of upto 4 digit numbers by 1 digit and 2 digit numbers on the Abacus tool.
Divide upto 4 digits numbers by 1 digit numbers on the Abacus tool.
They will start doing metal calculations of basic 2 digit numbers without using Fingers or the Abacus tool.
For example- Children shall be able to do the below given calculations;
8654 + 5735 + 835 - 1864 - 4278 =?
7632 + 9846 - 6573 + 135 - 2176 =?
&
1324.84 + 2464.37 - 756.98 =?
2756.16 + 89.64 - 764.83 =?
&
2346 x 36 =?
1364 x 46 =?
&
7458 ÷ 6 =?
8729 ÷ 8=?
&
Mental Calculations
632 + 114 - 325 + 85 =? (Mentally)
&
243.34 + 523.74 -364.73 =? (Mentally)
&
7452 x 8 =? (Mentally)
Duration- 12 Weeks
"What will be taught?"
Via Abacus Method:
Addition & subtraction- 3 & 4 digits (all combinations)
Multiplication- (2 digits x 2 digits, 3 digits × 2 digits)
Division- 3 digits ÷ 1 digit, 4 digits ÷ 1 digit, 3 digit ÷ 2 digits and 4 digits ÷ 2 digits
Via Mental Math Method:
Addition & subtraction- 2 & 3 digits (all combinations)
Decimal Addition & subtraction- 4 digits (all combinations)
Multiplication- 3 digits x 1 digit, 4 digits × 1 digit, 2 digits x 2 digits
Division- 2 digits ÷ 1 digit, 3 digits ÷ 1digit, 4 digits ÷ 1digit
"Outcome in Children"
Upon the completion of Level 5, the children shall be able to do;
All type of addition and subtraction of upto 4 digits numbers on the Abacus tool.
Decimal Addition and subtraction for upto 4 digits numbers.
Multiplication of upto 4 digit numbers by 1 digit and upto 3 digits numbers by 2 digits numbers.
Divide upto 4 digits numbers by 1 digit numbers on the Abacus tool.
Mental Calculation- Upto 3 digits addition and subtraction without using Abacus tool.
Mental Calculation- Upto 4 digits decimal addition and subtraction without using Abacus tool.
Mental Calculation- Multiplication of upto 4 digit numbers by 1 digit and 2 digit numbers by 2 digit numbers without using Abacus tool.
Mental Calculation- Dividing upto 4 digit numbers by 1 digit numbers without using Abacus tool.
For example- Children shall be able to do the below given calculations;
7624 + 5627 + 745 - 5343 - 1263 =?
&
6736.84 + 1524.54 - 1634.85 =?
5463.87 + 725.96 - 1264.44 =?
&
7464 x 6 =?
737 x 77 =?
&
8464 ÷ 8 =?
&
Mental Calculations
632 + 114 - 325 + 85 =? (Mentally)
&
243.34 + 523.74 - 364.73 =? (Mentally)
&
7452 x 8 =? (Mentally)
&
6912 ÷ 8 (Mentally)
Duration- 12 Weeks
"What will be taught?"
Via Abacus Method:
Addition & subtraction- 4 and 5 digits (all combinations)
Multiplication- 4 digits x 2 digits
Division- 3 digits ÷ 2 digits, 4 digits ÷ 2 digits and 5 digits ÷ 2 digits
Fractions Conversion
BODMAS
Via Mental Math Method:
Addition & subtraction- 2 & 3 digits (all combinations)
Decimal- 4 digits (all combinations)
Multiplication- 2 digits x 2 digits, 3 digits × 2 digits
Division- 4 digits ÷ 1 digit, 3 digits ÷ 2 digits
Fractions conversion
"Outcome in Children"
Upon the completion of Level 6, the children shall be able to do;
All type of addition and subtraction of upto 5 digits numbers on the Abacus tool.
Decimal Addition and subtraction for upto 4 digits numbers on the Abacus tool.
Multiplication of upto 4 digit numbers multiplied by 2 digits on the Abacus tool.
Divide upto 5 digits numbers by 2 digit numbers on the Abacus tool.
Converting fractions in percentages
Solving BODMAS based calculations
Mental Calculation- Upto 3 digits addition and subtraction without using Abacus tool.
Mental Calculation- Upto 4 digits decimal addition and subtraction without using Abacus tool.
Mental Calculation- Multiplication of upto 4 digit numbers by 1 digit and 3 digit numbers by 2 digit numbers without using Abacus tool.
Mental Calculations- Dividing upto 4 digit numbers by 1 digit numbers and 3 digit numbers by 2 digit numbers without using Abacus tool.
Mental Calculations- Doing Fraction conversions without using the Abacus tool.
For example- Children shall be able to do the below given calculations;
98456 + 6343 + 12565 - 63424 - 12534 =?
&
7453.53 + 3644.74 - 6443.74 =?
&
7846 x 68 =?
&
65636 ÷ 6 =?
&
Fraction calculations
&
14 + (8 – 2 × 3) =?
2 + 4 ÷ (22 + 6) × 2 =?
&
Mental Calculations
632 + 114 - 325 + 85 =? (Mentally)
&
243.34 + 523.74 -364.73 =? (Mentally)
&
7452 x 8 =? (Mentally)
&
6912 ÷ 8 (Mentally)
&
Fraction Conversions (Mentally)
Duration- 12 Weeks
"What will be taught?"
Via Abacus Method:
Addition & subtraction- 4 and 5 digits (all combinations)
Decimal- 5 digits (all combinations)
Multiplication- 3 digits × 3 digits, 4 digits × 2 digits
Division- 4 digits ÷ 2 digits, 5 digits ÷ 2 digits
Fractions combined operations
Percentage
Via Mental Math Method:
Addition & subtraction- 2 & 3 digits (all combinations)
Multiplication- 3 digits x 2 digits
Division- 4 digits ÷ 1 digits, 3 digits ÷ 2 digits
Decimal addition & subtraction
Decimal multiplication
Decimal divisions
Fractions
"Outcome in Children"
Upon the completion of Level 7, the children shall be able to do;
All type of addition and subtraction of upto 5 digits numbers on the Abacus tool.
Decimal Addition and subtraction for upto 5 digits numbers on the Abacus tool.
Multiplication of upto 4 digit numbers multiplied by 3 digits on the Abacus tool.
Divide upto 5 digits numbers by 2 digit numbers on the Abacus tool.
Converting fractions
Percentages
Mental Calculation- Upto 3 digits addition and subtraction without using Abacus tool.
Mental Calculation- Multiplication of upto 4 digit numbers by 1 digit and 2 digit numbers by 2 digit numbers without using Abacus tool.
Mental Calculation- Dividing upto 4 digit numbers by 1 digit numbers without using Abacus tool.
Mental Calculation- Upto 4 digits decimal addition and subtraction without using Abacus tool.
Mental Calculation- Decimal multiplication of upto 4 digits
Mental Calculation- Decimal divisions of upto 2 digits
Mental Calculation- Fraction mental calculations
For example- Children shall be able to do the below given calculations;
98456 + 6343 + 12565 - 63424 - 12534 =?
&
7453.53 + 3644.74 - 6443.74 =?
&
7846 x 68 =?
&
65636 ÷ 6 =?
&
Fraction calculations
&
Solving percentages
&
14 + (8 – 2 × 3) =?
2 + 4 ÷ (22 + 6) × 2 =?
&
Mental Calculations
632 + 114 - 325 + 85 =? (Mentally)
&
243.34 + 523.74 - 364.73 =?
&
7452 x 8 =? (Mentally)
&
6912 ÷ 8 =? (Mentally)
&
896 ÷ 32 =? (Mentally)
&
236.82 + 63.45 - 34.86 =? (Mentally)
&
64.34 x 24 =? (Mentally)
&
84.32 ÷ 6 =? (Mentally)
&
Fraction calculations (Mentally)
Duration- 12 Weeks
"What will be taught?"
Via Abacus Method:
Addition & subtraction- 4 and 5 digits (all combinations)
Division- 5 digits ÷ 2 digits
Square roots- 3 and 4 digits combined operations
Via Mental Math Method:
Addition & subtraction- 3 and 4 digits (all combinations)
Mixed calculations (÷, - , x, +) with BODMAS rule
Multiplication- 3 digits × 2 digits
Division- 4 digits ÷ 1 digit, 3 digits ÷ 2 digits
Decimal Addition & subtraction- 5 digits (all combinations)
Decimal multiplication
Decimal divisions
Fractions
"Outcome in Children"
Upon the completion of Level 8, the children shall be able to do;
All type of addition and subtraction of upto 5 digits numbers on the Abacus tool.
Decimal Addition and subtraction for upto 5 digits numbers on the Abacus tool.
Square roots upto 4 digits on the Abacus tool
Multiplication of upto 4 digit numbers multiplied by 3 digits on the Abacus tool.
Divide upto 5 digits numbers by 2 digit numbers on the Abacus tool.
Percentages on the Abacus tool
Mental Calculation- Upto 4 digits addition and subtraction without using Abacus tool.
Mental Calculation- BODMAS based calculations without using Abacus tool.
Mental Calculation- Multiplication of upto 4 digit numbers by 1 digit and 3 digit numbers by 2 digit numbers without using Abacus tool.
Mental Calculation- Dividing upto 4 digit numbers by 1 digit numbers & 3 digit numbers by 2 digit numbers without using Abacus tool.
Mental Calculation- Upto 5 digits decimal addition and subtraction without using Abacus tool.
Mental Calculation- Decimal multiplication of upto 4 digits
Mental Calculation- Decimal divisions of upto 2 digits
Mental Calculation- Fraction mental calculations
For example- Children shall be able to do the below given calculations;
98456 + 6343 + 12565 - 63424 - 12534 =?
&
7453.53 + 3644.74 - 6443.74 =?
&
7846 x 68 =?
&
65636 ÷ 6 =?
&
Solving percentages
&
14 + (8 – 2 × 3) =?
2 + 4 ÷ (22 + 6) × 2 =?
&
√(7396) =?
&
5474 + 8462 - 763 + 164 =? (Mentally)
&
84 + (23 – 12 × 6) =? (Mentally)
22 + 34 ÷ (12 + 2) × 42 =? (Mentally)
&
243.34 + 523.74 -364.73 =? (Mentally)
&
7452 x 8 =? (Mentally)
843 x 24 =? (Mentally)
&
4537.74 + 2384.21 - 3482.12 =? (Mentally)
&
6345.22 x 8 (Mentally)
&
84.21 ÷ 7 =? (Mentally)
&
Fraction Conversions (Mentally)
* Please note that every child has different learning abilities so the outcome may not be the same for every student.