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Multi-Digit Multiplication Strategies
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Multi-Digit Multiplication Strategies
📚 Part 1: Strategy Selection
1. Which strategy would be BEST for solving 23 × 45?
Area model
Partial products
Standard algorithm
All strategies work equally well
2. When using partial products for 142 × 36, which partial products do you need? (Check all that apply)
100 × 30
40 × 6
2 × 36
142 × 6
3. In the area model for 34 × 52, what are the four sections?
30×50, 30×2, 4×50, 4×2
34×50, 34×2, 30×52, 4×52
3×5, 3×2, 4×5, 4×2
340×520, 34×52, 3×5, 4×2
✏️ Part 2: Problem Solving
4. Solve 26 × 34 using the area model. Show your work below:
5. Use partial products to solve 145 × 23:
6. Real-World Problem: A school cafeteria serves 156 students lunch each day. How many lunches do they serve in 24 school days? Use any strategy and show your work.
7. Explain in your own words why breaking apart numbers makes multiplication easier:
🎯 Part 3: Challenge Application
8. Extension Challenge: A movie theater has 247 seats in each of its 18 theaters. If tickets cost $12 each and all theaters are full, how much money does the theater make?
Step 1: Find total seats: _________ × _________ = _________
Step 2: Find total money: _________ × _________ = _________
9. Compare and contrast two multiplication strategies. Which do you prefer and why?
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