Fact Family Worksheets -Worksheets Library - Free Printable

The image shows a math worksheet titled "Fact Families" from Superstar Worksheets, designed to help students understand the relationships between addition and subtraction (or multiplication and division) using sets of numbers. The worksheet uses a house-shaped format, where the roof contains three numbers that form a "fact family"—a group of related math facts.

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🔍 Understanding Fact Families

A fact family is a group of related addition and subtraction equations (or multiplication and division) using the same three numbers. For example:

- With numbers 2, 1, and 3:
- 2 + 1 = 3
- 1 + 2 = 3
- 3 - 1 = 2
- 3 - 2 = 1

These four equations are all part of the same fact family.

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🧩 Let's Solve the Unfilled Houses

We’ll go through each house with missing equations and fill them in based on the numbers given in the roof.

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#### ✔ House 1: Numbers → 6, 7, 13
This is an addition/subtraction fact family.

We know:
- 6 + 7 = 13
- 7 + 6 = 13
- 13 - 6 = 7
- 13 - 7 = 6

So, the equations are:
```
6 + 7 = 13
7 + 6 = 13
13 - 6 = 7
13 - 7 = 6
```

✔ Answer:
```
6 + 7 = 13
7 + 6 = 13
13 - 6 = 7
13 - 7 = 6
```

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#### ✔ House 2: Numbers → 9, 9, 18
This is also an addition/subtraction fact family.

We know:
- 9 + 9 = 18
- 9 + 9 = 18 (same)
- 18 - 9 = 9
- 18 - 9 = 9

Note: Since both addends are the same, two equations are identical.

So, the equations are:
```
9 + 9 = 18
9 + 9 = 18
18 - 9 = 9
18 - 9 = 9
```

✔ Answer:
```
9 + 9 = 18
9 + 9 = 18
18 - 9 = 9
18 - 9 = 9
```

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🔁 Bonus: Check Other Examples

Let’s verify one more to confirm understanding.

#### Example: Roof → 5, 10, 15
From the filled house:
- 5 + 10 = 15
- 10 + 5 = 15
- 15 - 5 = 10
- 15 - 10 = 5

Perfect! All equations use the same three numbers.

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✔ Final Answer for Blank Houses:

House with 6, 7, 13:
```
6 + 7 = 13
7 + 6 = 13
13 - 6 = 7
13 - 7 = 6
```

House with 9, 9, 18:
```
9 + 9 = 18
9 + 9 = 18
18 - 9 = 9
18 - 9 = 9
```

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💡 Why This Works

Fact families teach that:
- Addition and subtraction are inverse operations.
- The same three numbers can be used to create multiple true equations.
- This builds number sense and mental math skills.

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✏️ How to Use This Worksheet

1. Students identify the three numbers in the roof.
2. Write two addition equations (order doesn't matter).
3. Write two subtraction equations (subtracting either smaller number from the largest).
4. Fill in the boxes accordingly.

It’s a fun, visual way to learn math relationships!

Let me know if you'd like a printable version or want to solve more examples! 😊