Fact Family Worksheets -Worksheets Library - Free Printable

Let's solve this Fact Families worksheet step by step.

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🔷 What are Fact Families?

A fact family is a group of related math facts using the same three numbers. For addition and subtraction, if you have three numbers (like 2, 3, and 5), they can form four related equations:

- 2 + 3 = 5
- 3 + 2 = 5
- 5 - 2 = 3
- 5 - 3 = 2

These are all part of the same fact family.

Each house on the worksheet has three numbers in the roof (top circles). You use those three numbers to fill in the four equations below — two addition and two subtraction problems.

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Now let’s go through each house:

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🏠 House 1: Numbers are 3, 2, 1

We need to find which number is the sum (largest) and which are addends.

Check:
- 1 + 2 = 3 ✔
- 2 + 1 = 3 ✔
- 3 - 1 = 2 ✔
- 3 - 2 = 1 ✔

So the fact family is:

```
1 + 2 = 3
2 + 1 = 3
3 - 1 = 2
3 - 2 = 1
```

✔ Fill in the boxes accordingly.

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🏠 House 2: Numbers are 4, 6, 2

Look at the numbers: 2, 4, 6

Check:
- 2 + 4 = 6 ✔
- 4 + 2 = 6 ✔
- 6 - 2 = 4 ✔
- 6 - 4 = 2 ✔

So the fact family is:

```
2 + 4 = 6
4 + 2 = 6
6 - 2 = 4
6 - 4 = 2
```

✔ Fill in the boxes.

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🏠 House 3: Numbers are 8, 3, 5

Numbers: 3, 5, 8

Check:
- 3 + 5 = 8 ✔
- 5 + 3 = 8 ✔
- 8 - 3 = 5 ✔
- 8 - 5 = 3 ✔

So the fact family is:

```
3 + 5 = 8
5 + 3 = 8
8 - 3 = 5
8 - 5 = 3
```

✔ Fill in the boxes.

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🏠 House 4: Numbers are 10, 6, 4

Numbers: 4, 6, 10

Check:
- 4 + 6 = 10 ✔
- 6 + 4 = 10 ✔
- 10 - 4 = 6 ✔
- 10 - 6 = 4 ✔

So the fact family is:

```
4 + 6 = 10
6 + 4 = 10
10 - 4 = 6
10 - 6 = 4
```

✔ Fill in the boxes.

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✔ Final Answer Summary:

#### House 1 (3, 2, 1):
```
1 + 2 = 3
2 + 1 = 3
3 - 1 = 2
3 - 2 = 1
```

#### House 2 (4, 6, 2):
```
2 + 4 = 6
4 + 2 = 6
6 - 2 = 4
6 - 4 = 2
```

#### House 3 (8, 3, 5):
```
3 + 5 = 8
5 + 3 = 8
8 - 3 = 5
8 - 5 = 3
```

#### House 4 (10, 6, 4):
```
4 + 6 = 10
6 + 4 = 10
10 - 4 = 6
10 - 6 = 4
```

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💡 Tip for Students:

Always look for the largest number — it will be the sum in the addition equations and the minuend in the subtraction equations.

Let me know if you'd like this as a printable answer key!