Fact Families
John and Suzanne noticed that the addition fact 9 + 6 = 15 is related to the subtraction facts 15 − 6 = 9 and 15 − 9 = 6.
“These facts all use 6, 9, and 15. There are a lot of facts that use the same numbers,” said John. The set of math facts you can make from the same numbers is called a fact family.
John decided to list the number sentences in the fact family for another set of numbers: 6, 7, 13. “The easiest for me is addition. I add the two smaller numbers to get the largest,” he said. Then he wrote:
7 + 6 = 13 6 + 7 = 13
“Once I know one addition sentence, the other is easy, since you can turn the numbers around and get the same answer.”
“To get the subtraction facts in this fact family, I start with the largest number, which is 13. Then I think about 6 and 7. If I take one of the numbers away from 13, I get the other. This gives me two subtraction sentences.”
He wrote:
13 − 6 = 7 13 − 7 = 6
“It helps me remember them when I think of these facts together.”
Check-In: Questions 12–13
- Write the number sentences in the fact family for the numbers 4, 9, 13.
- Show or tell what strategy you can use to solve each number sentence.
- Write the number sentences in the fact family for the numbers 7, 9, 16.
- Show or tell what strategy you can use to solve each number sentence.