Fact Families

Grade 1 · mathematics · 97 practice problems · read aloud

🔊 Listen to this explanation

🌟 What is a Fact Family?

A fact family is a group of math facts that use the same three numbers. For addition and subtraction, these facts are related. Learning fact families helps you see the connection between adding and subtracting, making you a faster and smarter math thinker!

🧩 How to Find a Fact Family

  1. Find your three numbers. You need two parts and one whole. For example, with the numbers 2, 3, and 5: 2 and 3 are the parts, and 5 is the whole.
  2. Write the addition facts. The parts add up to the whole: 2 + 3 = 5 and 3 + 2 = 5.
  3. Write the subtraction facts. Start with the whole and subtract a part: 5 - 2 = 3 and 5 - 3 = 2.

📚 Visual Examples

Example 1: Numbers 4, 5, 9

The fact family is:

4 + 5 = 9
5 + 4 = 9
9 - 5 = 4
9 - 4 = 5

Example 2: Numbers 7, 2, 9

The fact family is:

7 + 2 = 9
2 + 7 = 9
9 - 2 = 7
9 - 7 = 2

🚨 Common Mistakes

  • Mixing up the whole and parts: Remember, in subtraction, you always start with the biggest number (the whole). For example, you can't do 3 - 5. You must do 5 - 3.
  • Forgetting all the facts: A complete fact family has two addition and two subtraction facts. Don't leave any out!

💡 Tips & Tricks

  • Part-Part-Whole: Imagine a mat with three circles. Two small circles (the parts) go into one big circle (the whole). This helps you visualize the relationship.
  • Check with the biggest number: The biggest number is always the whole and comes first in subtraction.
  • Use objects: Use blocks or cereal to build the parts and whole. It makes the facts easier to see!

🎯 How to Practice

  • Ask a grownup to give you three numbers (like 6, 3, and 9) and see if you can write all four facts.
  • Use online math games that quiz you on fact families.
  • Make your own fact family triangles! Write the three numbers on the corners of a triangle and practice the facts they make.

Practice problems

6 of the 97, worked through step by step — try them before opening the answer.

1 4 + 3 = 7, so 7 - 3 = ?

Hint: Think about how addition and subtraction are related. If you know one fact, you can find the other.

Show the answer

Answer: 4

  1. We know from the problem that 4 + 3 = 7.
  2. This means if we start with 7 and take away 3, we should be left with 4.
  3. So, 7 - 3 = 4.

The answer is 4.

2 7 + 2 = 9, so 9 - 2 = ?

Hint: Addition and subtraction are related. If you know one fact, you can find the other.

Show the answer

Answer: 7

  1. We know from the problem that 7 + 2 = 9.
  2. This means 9 is made up of 7 and 2.
  3. If we start with the total (9) and take away one part (2), we are left with the other part (7).
  4. So, 9 - 2 = 7.

The answer is 7.

3 3 + 4 = 7, so 7 - 4 = ?

Hint: Think about how addition and subtraction are opposites. If you know the total and one part, you can find the missing part.

Show the answer

Answer: 3

  1. We know from the problem that 3 + 4 = 7. This means 7 is the total, made of the two parts 3 and 4.
  2. If we start with the total (7) and subtract one of the parts (4), we are left with the other part.
  3. So, 7 - 4 = 3.

The answer is 3.

4 2 + 6 = 8, so 8 - 6 = ?

Hint: Think about how addition and subtraction are opposites. If you know the total and one part, you can find the missing part.

Show the answer

Answer: 2

  1. We know from the problem that 2 + 6 = 8. This means 8 is the total, made of the two parts 2 and 6.
  2. If we start with the total (8) and subtract one of the parts (6), we are left with the other part.
  3. So, 8 - 6 = 2.

The answer is 2.

5 4 + 5 = 9, so 9 - 5 = ?

Hint: Think about how addition and subtraction are opposite actions. If you know the total and one part, you can find the missing part.

Show the answer

Answer: 4

  1. We know from the problem that 4 + 5 = 9. This means 9 is the total, made of the two parts 4 and 5.
  2. If we start with the total (9) and subtract one of the parts (5), we are left with the other part.
  3. So, 9 - 5 = 4.

The answer is 4.

6 3 + 6 = 9, so 9 - 6 = ?

Hint: Think about how addition and subtraction are opposite actions. If you know the total and one part, you can find the missing part.

Show the answer

Answer: 3

  1. We know from the problem that 3 + 6 = 9. This means 9 is the total, made of the two parts 3 and 6.
  2. If we start with the total (9) and subtract one of the parts (6), we are left with the other part.
  3. So, 9 - 6 = 3.

The answer is 3.

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