Corresponding division facts are division equations that are related to a multiplication fact. Essentially, they show the inverse relationship between multiplication and division. Each multiplication fact has two related division facts, except for multiplication facts where both factors are the same.
For example, consider these multiplication facts and their corresponding division facts:
| Multiplication Fact | Corresponding Division Fact(s) |
|---|---|
| 2 × 5 = 10 | 10 ÷ 5 = 2 or 10 ÷ 2 = 5 |
| 3 × 2 = 6 | 6 ÷ 3 = 2 or 6 ÷ 2 = 3 |
| 3 × 3 = 9 | 9 ÷ 3 = 3 |
| 2 × 2 = 4 | 4 ÷ 2 = 2 |
| 4 × 3 = 12 | 12 ÷ 3 = 4 or 12 ÷ 4 = 3 |
Key takeaways:
- Inverse relationship: Division "undoes" multiplication, and vice-versa.
- Creating division facts: From a multiplication fact (e.g., a × b = c), you can derive two division facts: c ÷ a = b and c ÷ b = a.
- Repeated factors: When the two factors in a multiplication fact are the same (e.g., 3 × 3 = 9), there's only one corresponding division fact (9 ÷ 3 = 3).
In essence, understanding corresponding division facts helps to reinforce the connection between multiplication and division and builds a stronger foundation for mathematical fluency.
