🔄 Part 1: Understanding Reversibility

1. Complete the family of facts for each set:

Example: 7 × 8 = 56, so 8 × 7 = 56, 56 ÷ 7 = 8, and 56 ÷ 8 = 7

a) 6 × 9 = 54

9 × 6 = _____

54 ÷ 6 = _____

54 ÷ 9 = _____

b) 8 × 5 = 40

5 × 8 = _____

40 ÷ 8 = _____

40 ÷ 5 = _____

2. Circle the correct multiplication problem that matches each division:

42 ÷ ? = 7

? × 7 = 42

7 × ? = 42

42 × 7 = ?

🧮 Part 2: Converting Problems

3. Convert each division problem into a multiplication problem and solve:

a) 63 ÷ ? = 9

Multiplication problem: _____________ × 9 = 63

Answer: ? = _____

b) 48 ÷ 6 = ?

Multiplication problem: 6 × _____________ = 48

Answer: ? = _____

c) ? ÷ 8 = 7

Multiplication problem: 8 × 7 = _____________

Answer: ? = _____

4. Convert each multiplication problem into a division problem:

a) ? × 6 = 54

Division problem: 54 ÷ 6 = _____

b) 9 × ? = 72

Division problem: 72 ÷ _____ = 9

c) 7 × 8 = ?

Division problem: _____ ÷ 7 = 8

🎯 Part 3: Problem Solving

5. Solve these missing number problems using reversibility:

a) 81 ÷ ? = 9

Answer: ? = _____

b) ? × 7 = 56

Answer: ? = _____

c) 64 ÷ 8 = ?

Answer: ? = _____

6. Check all the division problems that can be solved using the multiplication fact 6 × 7 = 42:

42 ÷ 6 = ?

42 ÷ 7 = ?

42 ÷ ? = 6

42 ÷ ? = 7

? ÷ 6 = 7

📝 Part 4: Word Problems and Explanations

7. Sarah has 72 stickers. She wants to put them into groups of 8. How many groups will she have?

Division problem: _____ ÷ _____ = ?

Multiplication check: _____ × _____ = 72

8. There are 56 students going on a school trip. If there are 7 students in each group, how many groups are there?

Division problem: _____ ÷ _____ = ?

Multiplication check: _____ × _____ = 56

9. Explain in your own words how division and multiplication are related. Use an example to show your understanding:

🌟 Part 5: Challenge Extension

10. Create your own family of facts using the numbers 9, 8, and 72:

Multiplication: _____ × _____ = _____

Division: _____ ÷ _____ = _____

11. Match each division problem with its corresponding multiplication problem:

1. 45 ÷ ? = 5

2. 36 ÷ 4 = ?

3. ? ÷ 6 = 8

4. 28 ÷ ? = 4

A. 4 × ? = 9

B. ? × 4 = 28

C. 6 × 8 = ?

D. ? × 5 = 45

12. Draw a picture or diagram to show how 24 ÷ 6 = 4 and 6 × 4 = 24 are related:

Division Multiplication Reversibility

Division Multiplication Reversibility

🔄 Part 1: Understanding Reversibility

🧮 Part 2: Converting Problems

🎯 Part 3: Problem Solving

📝 Part 4: Word Problems and Explanations

🌟 Part 5: Challenge Extension

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