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Fact Family Triangles

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Fact Family Triangles

Fact Family Triangles

Fact family triangle illustration

🔢 Part 1: Understanding Fact Families

1. Look at this fact family triangle with the numbers 4, 6, and 10. Circle the correct addition sentences that belong to this fact family:

4 + 6 = 10

6 + 4 = 10

3 + 7 = 10

5 + 5 = 10

2. For the same fact family (4, 6, 10), which subtraction sentences are correct? Tick all that apply:

10 - 4 = 6

10 - 6 = 4

10 - 3 = 7

6 - 4 = 2

📐 Part 2: Complete the Fact Family Triangles

3. Fill in the missing numbers to complete these fact family triangles:

Triangle 1: Numbers are 3, 7, and ____

Addition sentences: 3 + 7 = ____ and ____ + 3 = 10

Subtraction sentences: 10 - 3 = ____ and 10 - ____ = 3

4. Triangle 2: Numbers are 5, ____, and 12

Addition sentences: 5 + ____ = 12 and 7 + ____ = 12

Subtraction sentences: 12 - 5 = ____ and ____ - 7 = 5

5. Draw your own fact family triangle using the numbers 2, 8, and 10:

✏️ Part 3: Writing Number Sentences

6. Use the fact family 6, 9, 15 to write all four number sentences:
7. Sarah has 8 stickers. She gives 3 stickers to her friend. How many stickers does Sarah have left? Write the subtraction sentence and then write the related addition sentence:

Subtraction: ________________

Related addition: ________________

8. Which number completes this fact family: 4, 11, ____?

6

7

8

15

🎯 Part 4: Problem Solving with Fact Families

9. Match each fact family triangle with its correct number sentences:
1. Triangle: 5, 8, 13
2. Triangle: 6, 7, 13
3. Triangle: 4, 9, 13
A. 6 + 7 = 13, 13 - 6 = 7
B. 4 + 9 = 13, 13 - 4 = 9
C. 5 + 8 = 13, 13 - 5 = 8
10. Create your own word problem using the fact family 7, 8, 15. Write the problem and show the number sentence:
11. Explain in your own words: How are addition and subtraction connected in a fact family?

🌟 Part 5: Challenge Questions

12. Find all the fact families you can make using only the numbers 1, 2, 3, and 4 (you must use exactly three different numbers for each family):
13. True or False: The numbers 0, 9, and 9 can make a fact family.

True

False

Explain your answer: ________________________________

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