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Use the numbers inside each triangle to complete the corresponding addition and subtraction equations below.

Math worksheet showing four triangles with numbers for students to write addition and subtraction fact families.

Math worksheet showing four triangles with numbers for students to write addition and subtraction fact families.

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Show Answer Key & Explanations Step-by-step solution for: Complete Fact Family Worksheets
This worksheet asks you to write four different facts (two addition and two subtraction equations) for each triangle, using the numbers shown in the triangle.

Each triangle has three numbers: one at the top and two at the bottom. The top number is the sum of the two bottom numbers. This is a fact family concept — showing how addition and subtraction are related.

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Let’s solve each section step by step.

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🔹 Top Left Triangle: 5 (top), 2 and 3 (bottom)



We know:
- 2 + 3 = 5
- 3 + 2 = 5
- 5 - 2 = 3
- 5 - 3 = 2

So the four facts are:

1. 2 + 3 = 5
2. 3 + 2 = 5
3. 5 - 2 = 3
4. 5 - 3 = 2

---

🔹 Top Right Triangle: 8 (top), 3 and 5 (bottom)



We know:
- 3 + 5 = 8
- 5 + 3 = 8
- 8 - 3 = 5
- 8 - 5 = 3

So the four facts are:

1. 3 + 5 = 8
2. 5 + 3 = 8
3. 8 - 3 = 5
4. 8 - 5 = 3

---

🔹 Bottom Left Triangle: 6 (top), 2 and 4 (bottom)



We know:
- 2 + 4 = 6
- 4 + 2 = 6
- 6 - 2 = 4
- 6 - 4 = 2

So the four facts are:

1. 2 + 4 = 6
2. 4 + 2 = 6
3. 6 - 2 = 4
4. 6 - 4 = 2

---

🔹 Bottom Right Triangle: 7 (top), 3 and 4 (bottom)



We know:
- 3 + 4 = 7
- 4 + 3 = 7
- 7 - 3 = 4
- 7 - 4 = 3

So the four facts are:

1. 3 + 4 = 7
2. 4 + 3 = 7
3. 7 - 3 = 4
4. 7 - 4 = 3

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Final Answer (filled in):



#### Top Left:
```
2 + 3 = 5
3 + 2 = 5
5 - 2 = 3
5 - 3 = 2
```

#### Top Right:
```
3 + 5 = 8
5 + 3 = 8
8 - 3 = 5
8 - 5 = 3
```

#### Bottom Left:
```
2 + 4 = 6
4 + 2 = 6
6 - 2 = 4
6 - 4 = 2
```

#### Bottom Right:
```
3 + 4 = 7
4 + 3 = 7
7 - 3 = 4
7 - 4 = 3
```

---

📌 Explanation:


Each triangle shows a fact family — a group of related addition and subtraction facts using the same three numbers. The top number is the total (sum), and the two bottom numbers are parts that add up to it.

These exercises help students understand:
- Commutative property of addition (e.g., 2+3=3+2)
- Inverse relationship between addition and subtraction

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Parent Tip: Review the logic above to help your child master the concept of math fact family worksheet.
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