Track class average completion time and accurate product scoring daily. Target: Reduction of average core completion time from 8 minutes (Day 1) to under 6 minutes (Day 5).
Class Target <6m
Accuracy 90%+
DIGIT DASH TEACHER FACILITATION GUIDE PAGE 1 OF 3
Detailing partial products and specific intermediate steps for targeted remediation.
Section A
DAY 1: Multi-Digit Multiplication Answers Standard Whole Numbers
DAY 2: Long Division Answers 2-Digit Divisors
DAY 3: Decimal Multiplication Answers Decimal Tracking
DIGIT DASH TEACHER FACILITATION GUIDE PAGE 2 OF 3
Final days answer guide with standard algorithm error-detection frameworks.
Section B
DAY 4: Decimal Long Division Answers Decimal Adjustments
DAY 5: Mixed Speed Dash Answers Mixed Showcase
Common Algorithmic Misconceptions & Rapid Diagnostic Table
| Error Category | Visual Evidence | Targeted Quick Remedy |
|---|---|---|
| Zero Placeholder Omission | Day 1 B1 final answer ~1,500 instead of 8,280. | Force highlighting of the second row's ones-column grid box before multiplying the tens. |
| Decimal Additive Fallacy | Day 3 B1 lines up decimals (like addition) instead of shifting. | Teach "ignore decimal first, multiply integers, then sweep decimal left in the product." |
| Decimal Divisor Blindness | Day 4 B2 answer is 6.2 or 0.62 instead of 62. | Insist on drawing arrow loops moving the divisor's decimal before setting up the long division bracket. |
DIGIT DASH TEACHER FACILITATION GUIDE PAGE 3 OF 3
Quotient:
Problem B3
2,415 ÷ 15
15s Multiples:
15, 30, 45, 60, 75, 90, 105, 120
Quotient:
Problem B4
4,732 ÷ 34
34s Multiples:
34, 68, 102, 136, 170, 204, 238, 272
Quotient / Rem:
Steps Completed: Used Multiples Chart Checked DMSB Loop
Accuracy Check: Checked Remainder
Day 3 Guided Edition
Focus: Decimal Product Mapping
Student Name
Date
Core Strategy: Ignore decimals, multiply normally, then count places to place decimal.
Timer: ___:___
Score: ___ / 8
(Count how many times to shift the decimal!)
A1.
4.5 × 10 = Shift 1 Right →
A2.
0.35 × 100 = Shift 2 Right →
A3.
1.2 × 3 = Think: 12 × 3 = 36
A4.
0.08 × 9 = Think: 8 × 9 = 72
Fill in the decimal place counters below each problem to map the final answer placement!
Problem B1
4.8 × 2.3
4.8 → [ 1 ] decimal place 2.3 → [ 1 ] decimal place Answer → [ 2 ] places left!
Final Product:
Problem B2
12.5 × 0.4
12.5 → [ 1 ] decimal place 0.4 → [ 1 ] decimal place Answer → [ 2 ] places left!
Final Product:
Problem B3
0.72 × 3.5
0.72 → [ 2 ] decimal places 3.5 → [ 1 ] decimal place Answer → [ 3 ] places left!
Final Product:
Problem B4
5.16 × 2.4
5.16 → [ 2 ] decimal places 2.4 → [ 1 ] decimal place Answer → [ 3 ] places left!
Final Product:
Self-Check: Counted decimal places correctly using guides Checked alignment in multiplication columns
Tracking: Decimal Map Accurate
Day 4 Guided Edition
Focus: Long Division Decimals Setup
Student Name
Date
Crucial Rule: If the divisor has a decimal, move it to make a WHOLE number divisor first!
Timer: ___:___
Score: ___ / 8
(Look at the divisor to find the decimal placement!)
A1.
3.6 ÷ 6 = Think: 36 ÷ 6 = 6
A2.
4.5 ÷ 9 = Think: 45 ÷ 9 = 5
A3.
12.8 ÷ 10 = Shift decimal 1 Left
A4.
0.72 ÷ 8 = Think: 72 ÷ 8 = 9
Pre-drawn helper arrows guide you to move the decimals before starting standard division!
Problem B1
15.6 ÷ 3
Divisor is already whole (3)! Just bring decimal UP into quotient directly.
Quotient:
Problem B2
24.8 ÷ 0.4
Step 1: Move decimal 1 right! 0.4 → 4 24.8 → 248 New: 248 ÷ 4
Quotient:
Problem B3
8.75 ÷ 2.5
Step 1: Move decimal 1 right! 2.5 → 25 8.75 → 87.5 New: 87.5 ÷ 25
Quotient:
Problem B4
45.6 ÷ 1.2
Step 1: Move decimal 1 right! 1.2 → 12 45.6 → 456 New: 456 ÷ 12
Quotient:
Self-Check: Shifted both decimal places equally Placed quotient decimal aligned directly above dividend
Setup State: Shift Complete
Day 5 Guided Edition
Focus: Final Mixed Speed Showdown
Student Name
Date
Championship Target: Combine all your skills: alignment, DMSB, and decimal mapping!
Timer: ___:___
Score: ___ / 8
(Keep breathing—steady pace is faster than rushed errors!)
A1.
14 × 5 = Hint: (10×5) + (4×5)
A2.
810 ÷ 90 = Simplify: 81 ÷ 9
A3.
1.1 × 11 = Hint: 11 × 11 is 121
A4.
60 ÷ 1.2 = Think: 600 ÷ 12
2 Multiplication, 2 Division. Check off helper cues to stay centered!
Problem B1 (Mult)
604 × 73
0
Answer:
Problem B2 (Div)
3,825 ÷ 25
25s Multiples:
25, 50, 75, 100, 125, 150
Answer:
Problem B3 (Dec Mult)
8.42 × 1.6
8.42 → [ 2 ] places 1.6 → [ 1 ] place Answer → [ 3 ] left
Answer:
Problem B4 (Dec Div)
11.25 ÷ 1.5
Move decimal 1 right! 1.5 → 15 11.25 → 112.5 New: 112.5 ÷ 15
Answer:
Self-Check: Checked decimal place calculations Double-checked subtraction steps
Status Check: Championship Mastered!
