Operation Blueprint Packet
Instruction Sheet // No. 01
DECIMAL ADD & SUBTRACT
SCALE: 1:1 MASTERCLASS
TOPIC: DECIMAL ALIGNMENT
CADET:
DATE:
STATION:
The Golden Rule: Decimal Alignment
To add or subtract decimals, you must align numbers by their actual place value. The absolute easiest way to achieve perfect structural alignment is to line up the decimal points vertically!
01
Line Up Decimals: Stack numbers vertically so that the decimal points form a perfectly straight vertical line.
02
Annex Zeros: Fill in any blank spaces with placeholder 0s so both values have the same decimal length.
03
Drop Decimal: Bring the decimal point straight down directly into your answer line first.
04
Calculate: Complete your calculations column by column, regrouping or borrowing as normal.
Vertical Alignment Blueprint
Addition: 14.5 + 3.82
1
4
.
5
0
3
.
8
2
1
8
.
3
2
Subtraction: 24.1 - 7.65
2
4
.
1
0
-
7
.
6
5
1
6
.
4
5
Grid Schematic // Column Values
Tens
10
Ones
1
Point
.
Tenths
0.1
Hundredths
0.01
Alignment Check:
Place decimal first. Annex zeros so columns match.
OPERATION BLUEPRINT // GRID MATH CO.
SHEET 01 OF 06
Practice Board // No. 02
ADD & SUBTRACT PRACTICE
SCALE: 1:1 WORKSPACE
TOPIC: DECIMAL ALIGNMENT
CADET:
DATE:
STATION:
01 // DECIMAL ADDITION 34.56 + 12.8
SUM:
02 // DECIMAL ADDITION 145.2 + 8.94
SUM:
03 // DECIMAL ADDITION 0.78 + 19.3
SUM:
04 // DECIMAL SUBTRACTION 42.5 - 18.37
DIFFERENCE:
05 // DECIMAL SUBTRACTION 95.16 - 27.4
DIFFERENCE:
06 // DECIMAL SUBTRACTION 8.3 - 4.92
DIFFERENCE:
OPERATION BLUEPRINT // GRID MATH CO.
SHEET 02 OF 06
Instruction Sheet // No. 03
MULTIPLICATION BLUEPRINT
SCALE: 1:1 MASTERCLASS
TOPIC: MULTI-STEP & DECIMALS
CADET:
DATE:
STATION:
Phase A: Whole Number Multi-Step
Treat each place value of the multiplier as a separate calculation step. Stack columns precisely.
01
Right Align: Line up rightmost numbers. Decimals do not align!
02
Multiply Ones: Multiply the top factor by the ones place of bottom factor.
03
Zero Placeholder: Drop a 0 on row two to shift to the tens.
04
Multiply Tens: Multiply top by tens place. Sum rows.
ALIGNED SCHEMATIC (345 × 26)
2
3
3
4
5
×
2
6
2
0
7
0
6
9
0
0
8
9
7
0
Phase B: The Decimal Shift
Do not line up decimals initially. Multiply as whole numbers, then apply the shift.
01
Count Spaces: Count total numbers to the right of decimals in both factors.
02
Shift Left: Start at the very right of final sum, shift decimal left that total amount.
DECIMAL GRAPH (3.45 × 2.6)
4
5
×
6
2
0
7
6
9
0
9
7
3.45 (2 spaces) + 2.6 (1 space) = 3 spaces left
Blueprint Checks:
Placeholders are crucial for double digits. Double-check total count of places.
OPERATION BLUEPRINT // GRID MATH CO.
SHEET 03 OF 06
Practice Board // No. 04
MULTIPLICATION DRAFT BOARD
SCALE: 1:1 WORKSPACE
TOPIC: MULTI-STEP & DECIMALS
CADET:
DATE:
STATION:
01 // WHOLE NUMBERS 342 × 24
PRODUCT:
02 // WHOLE NUMBERS 581 × 46
PRODUCT:
03 // WHOLE NUMBERS 923 × 75
PRODUCT:
04 // DECIMAL SHIFT 42.6 × 3.5
PRODUCT:
05 // DECIMAL SHIFT 7.89 × 4.2
PRODUCT:
06 // DECIMAL SHIFT 0.65 × 1.8
PRODUCT:
OPERATION BLUEPRINT // GRID MATH CO.
SHEET 04 OF 06
Instruction Sheet // No. 05
DIVISION BLUEPRINT
SCALE: 1:1 MASTERCLASS
TOPIC: LONG DIVISION & DECIMALS
CADET:
DATE:
STATION:
Phase A: The Long Division Loop
Long division is a repeating cyclical loop. Stack digits in vertical alignment to track remaining values accurately.
1
Divide: Find how many times divisor fits into current place.
2
Multiply: Multiply that digit by divisor. Write below.
3
Subtract: Subtract that product to find remainder.
4
Bring Down: Drop next digit from dividend down.
5
Loop: Start sequence again until done.
Procedural Schematic Loop
1. DIVIDE
2. MULTIPLY
3. SUBTRACT
4. BRING DOWN
Phase B: Decimal Blueprints
Place decimal points correctly before starting the division process.
Decimal INSIDE
Elevate the decimal point straight up onto answer line.
↑ Elevate Point ↑
3 . 1 5
5 1 5 . 7 5
Decimal OUTSIDE
Shift divisor point right to make integer. Shift dividend point same.
→ Shift Divisor &Dividend →
1.2 → 12 7.56 → 75.6
Blueprint Checks:
Grid alignment is vital. Annex zeros to complete steps.
OPERATION BLUEPRINT // GRID MATH CO.
SHEET 05 OF 06
Practice Board // No. 06
DIVISION DRAFT BOARD
SCALE: 1:1 WORKSPACE
TOPIC: LONG DIVISION & DECIMALS
CADET:
DATE:
STATION:
01 // WHOLE NUMBERS 924 ÷ 12
QUOTIENT:
02 // WHOLE NUMBERS 4,095 ÷ 15
QUOTIENT:
03 // WHOLE NUMBERS 7,936 ÷ 31
QUOTIENT:
04 // DECIMAL DIVIDE 86.4 ÷ 2.4
QUOTIENT:
05 // DECIMAL DIVIDE 18.45 ÷ 0.9
QUOTIENT:
06 // DECIMAL DIVIDE 7.35 ÷ 0.15
QUOTIENT:
OPERATION BLUEPRINT // GRID MATH CO.
SHEET 06 OF 06
Operation Blueprint Answer Key
Teacher Resource // Solution Blueprint
ANSWER KEY: ADD & SUBTRACT
STATUS: COMPLETED & VERIFIED
MASTER SCHEMATIC
TEACHING TIP: Watch out for students who forget to annex placeholder zeros (e.g., writing 12.8 as 12.08 or misaligning columns in Problem 1 and 4). Remind them to keep decimal points perfectly straight.
01 // ADDITION SOLUTION 34.56 + 12.8
Regroup: 1
3 4 . 5 6
+ 1 2 . 8 0
4 7 . 3 6
SUM:
47.36
02 // ADDITION SOLUTION 145.2 + 8.94
Regroup: 11
1 4 5 . 2 0
+ 8 . 9 4
1 5 4 . 1 4
SUM:
154.14
03 // ADDITION SOLUTION 0.78 + 19.3
Regroup: 1
0 . 7 8
+ 1 9 . 3 0
2 0 . 0 8
SUM:
20.08
04 // SUBTRACTION SOLUTION 42.5 - 18.37
Borrow & Regroup
4 2 . 5 0 → 4 1 . 14 10
- 1 8 . 3 7
2 4 . 1 3
DIFFERENCE:
24.13
05 // SUBTRACTION SOLUTION 95.16 - 27.4
Borrow & Regroup
9 5 . 1 6 → 8 14 . 11 6
- 2 7 . 4 0
6 7 . 7 6
DIFFERENCE:
67.76
06 // SUBTRACTION SOLUTION 8.3 - 4.92
Borrow & Regroup
8 . 3 0 → 7 . 12 10
- 4 . 9 2
3 . 3 8
DIFFERENCE:
3.38
OPERATION BLUEPRINT // ANSWER KEY
SHEET 01 OF 03
Teacher Resource // Solution Blueprint
ANSWER KEY: MULTIPLICATION
STATUS: COMPLETED & VERIFIED
MASTER SCHEMATIC
TEACHING TIP: Watch for students who forget the placeholder 0 in row two of multiplication (Problems 1–3) or shift incorrect spaces in decimals (Problems 4–6).
01 // SOLUTION 342 × 24
Regroup: 1
3 4 2
× 2 4
1 3 6 8
+ 6 8 4 0
8,2 0 8
PRODUCT:
8,208
02 // SOLUTION 581 × 46
Regroup: 34
5 8 1
× 4 6
3 4 8 6
+ 2 3 2 4 0
2 6,7 2 6
