Explain three different strategies for solving 8 × 7. Which do you prefer and why?
Create a pattern using multiples of 9. What do you notice about the digits? Explain why this happens.
If 8 × 6 = 48, use this fact to solve 8 × 7, 8 × 5, and 80 × 6 without memorizing new facts.
Investigate the relationship between these: 9 × 8, 8 × 9, 72 ÷ 8, and 72 ÷ 9. Explain the connections.
Design a strategy for quickly calculating 25 × 4, 25 × 8, and 25 × 12. Explain your method.
Analyze this pattern: 1×9=9, 2×9=18, 3×9=27, 4×9=36. What happens to the sum of digits? Why?
Create a word problem that requires using the fact family: 7, 8, 56. Show how all four facts connect.
Explain how knowing 5 × 8 = 40 can help you solve 6 × 8, 4 × 8, and 50 × 8 mentally.
Compare these division strategies: repeated subtraction, fact families, and arrays. When is each most useful?
Design your own method for remembering a difficult multiplication fact. Teach it to someone else.