Multiplication Boost Student Packet
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MULTIPLICATION BOOSTER • PART 1
Foundations: 0s, 1s, 2s, 5s & 10s
Name:
Date:
Big Math Idea: Multiplication is Equal Groups
3 groups of 4 = 4 + 4 + 4
3 × 4 = 12
4 groups of 5 = 5 + 5 + 5 + 5
4 × 5 = 20
1 Zero & Identity Rules (0s and 1s)
Anything × 0 = 0
8 × 0 =
Anything × 0 = 0
0 × 12 =
Anything × 1 = Itself
9 × 1 =
Anything × 1 = Itself
1 × 15 =
2 Skip-Counting Number Lines
Count by 2s (Doubles): 4 × 2 = 4 jumps of 2
0 → 2 → 4 → → 8 → → 12 →
Count by 5s (Ends in 0 or 5): 6 × 5 = 6 jumps of 5
0 → 5 → 10 → → 20 → → 30 →
Count by 10s (Place-Value Shift): 4 × 10 = 4 jumps of 10
0 → 10 → → 30 → 40 → → 60 →
3 Convert & Solve: Repeated Addition Model
Model A: 2 + 2 + 2 + 2 + 2 + 2
Equation: ___ × 2 =
Model B: 5 + 5 + 5 + 5
Equation: ___ × 5 =
Model C: 10 + 10 + 10 + 10 + 10
Equation: ___ × 10 =
Model D: 5 + 5 + 5 + 5 + 5 + 5 + 5
Equation: ___ × 5 =
Foundational Mastery Check: 7 × 2 = [ ] 8 × 5 = [ ] 9 × 10 = [ ]
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MULTIPLICATION BOOSTER • PART 2
Double & Build: 3s, 4s & 6s
Name:
Score: / 16
The "Double-Double" Trick (4s)
To multiply by 4, double the number, then double it again!
4 × 6 = Double 6 (12) → Double 12 (24)
6s are Double 3s!
If you know your 3s, just double the answer to get the 6s!
3 × 7 = 21 → so 6 × 7 = Double 21 (42)
1 Complete the Skip-Counting Patterns
3s: 3, 6, , 12, 15, , 21, 24, , 30
4s: 4, 8, 12, , 20, 24, , 32, , 40
6s: 6, 12, , 24, 30, , 42, , 54, 60
2 Strategy Step-Throughs (Show the Mental Math)
Find 4 × 8 using Double-Double:
Step 1: Double 8 = 16
Step 2: Double 16 = [ ]
Final: 4 × 8 =
Find 6 × 4 using Double 3s:
Step 1: Calculate 3 × 4 = 12
Step 2: Double 12 = [ ]
Final: 6 × 4 =
3 Fluency Workout (3s, 4s, 6s)
3 × 5 =
4 × 3 =
6 × 2 =
3 × 8 =
4 × 7 =
6 × 5 =
3 × 9 =
4 × 9 =
6 × 6 =
4 × 4 =
6 × 8 =
3 × 6 =
Pro Tip: Multiplication order doesn't matter! 3 × 8 is the same as 8 × 3 (24).
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MULTIPLICATION BOOSTER • PART 3
Tricky Facts: 7s, 8s & 9s Strategies
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Date:
Break Apart 7 into 5 + 2!
Multiply by 5, multiply by 2, then add them together!
7 × 6 = (5 × 6) + (2 × 6)
7 × 6 = 30 + 12 = 42
The Magic 9s Pattern
Tens digit is 1 less than the number. Digits always add up to 9!
9 × 4 → Tens digit is 3 (4-1).
3 + 6 = 9 → Answer = 36
1 Break-It-Down: Use Friendly Facts (5s & 2s)
Problem: 7 × 8
(5 × 8) = 40 (2 × 8) = 16
40 + 16 =
Problem: 7 × 4
(5 × 4) = 20 (2 × 4) = 8
20 + 8 =
2 Fill in the 9s Pattern Table
| Fact | Tens Digit (Number - 1) | Ones Digit (Adds to 9) | Final Answer |
|---|
| 9 × 3 | 3 - 1 = 2 | 2 + 7 = 9 | 27 |
| 9 × 5 | 5 - 1 = 4 | 4 + 5 = 9 | 45 |
| 9 × 7 | 7 - 1 = [ ] | [ ] + 3 = 9 | |
| 9 × 8 | 8 - 1 = [ ] | [ ] + 2 = 9 | |
3 Upper Fact Mastery Challenge (7s, 8s, 9s)
7 × 3 =
8 × 2 =
9 × 2 =
7 × 7 =
8 × 5 =
9 × 6 =
8 × 8 =
9 × 9 =
Rhyme Helper: "5, 6, 7, 8: 56 is 7 times 8!" & "I ate and ate 'til I got sick on the floor: 8 × 8 is 64!"
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MULTIPLICATION BOOSTER • PART 4
11s, 12s Mastery & Application
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Date:
11s Double-Digit Trick
For 1 to 9, just write the digit twice: 11 × 4 = 44, 11 × 7 = 77.
12s = 10s Fact + 2s Fact
12 × 5 = (10 × 5) + (2 × 5) = 50 + 10 = 60
1 Master Times Table Grid (Fill in the missing key facts)
| × | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|
| 2 | 2 | 4 | 6 | | 10 | 12 | 14 | 16 | | 20 | 22 | 24 |
| 3 | 3 | 6 | 9 | 12 | 15 | | 21 | 24 | 27 | 30 | 33 | |
| 4 | 4 | 8 | 12 | 16 | 20 | 24 | | 32 | 36 | 40 | 44 | 48 |
| 5 | 5 | 10 | 15 | 20 | 25 | 30 | 35 | | 45 | 50 | 55 | 60 |
| 6 | 6 | 12 | 18 | 24 | 30 | 36 | 42 | 48 | | 60 | 66 | 72 |
| 7 | 7 | 14 | 21 | 28 | 35 | 42 | 49 | | 63 | 70 | 77 | 84 |
| 8 | 8 | 16 | 24 | 32 | 40 | 48 | | 64 | 72 | 80 | 88 | 96 |
| 9 | 9 | 18 | 27 | 36 | 45 | 54 | 63 | 72 | | 90 | 99 | 108 |
| 11 | 11 | 22 | 33 | 44 | 55 | | 77 | 88 | 99 | 110 | 121 | |
| 12 | 12 | 24 | | 48 | 60 | 72 | 84 | 96 |
2 Real-World Math Scenarios
Scenario 1: Art Supplies
Marcus is setting up 6 tables for an art project. Each table gets 8 paint bottles. How many bottles are needed in total?
Repeated Addition: 8 + 8 + 8 + 8 + 8 + 8
Equation & Answer:
Scenario 2: Field Trip Buses
A 5th grade class books 7 rows of seats at a museum theater. Each row has 9 seats. How many students can sit together?
Strategy Used: 9s Rule / (5×9)+(2×9)
Equation & Answer:
Multiplication Booster Complete! You've built key multiplication strategies through 12s.
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