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Math worksheet for practicing addition and subtraction fact families using house-themed number problems.

Worksheet titled "Working with Fact Families Addition and Subtraction" featuring six colorful house illustrations with numbers, designed for math practice.

Worksheet titled "Working with Fact Families Addition and Subtraction" featuring six colorful house illustrations with numbers, designed for math practice.

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Show Answer Key & Explanations Step-by-step solution for: Fact Family Worksheets | Addition and Subtraction
Let’s solve this step by step.

We are working with fact families for addition and subtraction. A fact family uses the same three numbers to make four related facts: two addition and two subtraction.

For example, if we have numbers 5, 7, and 12:
- 5 + 7 = 12
- 7 + 5 = 12
- 12 - 5 = 7
- 12 - 7 = 5

In Part 1, each house has three numbers given — one on the roof (the total), and two on the sides (the parts). We need to fill in the missing number so that all three form a fact family.

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First House (Pink):
Roof: ?
Left side: 3
Right side: 12

Wait — actually, looking at the layout: In each house, the top number is the sum (total), and the two bottom numbers are the addends. But in the first house, it shows:

Top: blank
Left: 3
Right: 12 → That can’t be right because 3 + 12 = 15, but usually the bigger number is on top. Let me recheck.

Actually, looking again — in the first pink house:

It says:
Top: [blank]
Left window: 3
Right window: 12? Wait — no, let's read carefully.

Looking at the image description (even though I won't mention it), from standard fact family houses:

Usually, the top number is the sum, and the two lower numbers are the addends.

But in the first house, it shows:

Top: empty
Left: 3
Right: 12 → That would mean 3 + ? = 12? Or maybe 3 and something else add to 12?

Wait — perhaps the right number is not 12, but part of the equation.

Actually, let’s look at the second house as an example:

Second house (green):
Top: 26
Left: 8
Right: ? → So 8 + ? = 26 → ? = 18

Third house (purple):
Top: 28
Left: ?
Right: 7 → So ? + 7 = 28 → ? = 21

So pattern: Top = Left + Right

Therefore, for First House (pink):

Left: 3
Right: 12? Wait — that doesn’t fit because 3 + 12 = 15, but then top should be 15.

But in the image, the first house has:

Top: blank
Left: 3
Right: 12 → Hmm, that seems off. Maybe it’s reversed?

Wait — perhaps the “12” is the top? No, the sun is above, and the title says “fill in the numbers for each fact family house”.

Let me reinterpret based on common worksheets:

Often, the roof has the total, and the two windows below have the two parts.

In the first house:

Roof: ?
Window left: 3
Window right: 12 → That would imply 3 + 12 = 15, so roof = 15.

But that makes sense only if 12 is a part, not the total.

Alternatively, maybe the right number is the total? Unlikely.

Wait — look at the third house: Roof 28, right window 7, left window blank → so left = 28 - 7 = 21.

Similarly, second house: Roof 26, left 8, right blank → right = 26 - 8 = 18.

So yes: Roof = Left + Right → so missing number = Roof - known part.

Now first house: It shows:

Roof: blank
Left: 3
Right: 12 → Then roof = 3 + 12 = 15.

That must be it. Even though 12 is larger, it’s still a part. Fact families don’t require the parts to be smaller than each other — just that they add to the total.

So:

House 1: 3 + 12 = 15 → Roof = 15

House 2: 8 + ? = 26 → ? = 18

House 3: ? + 7 = 28 → ? = 21

Now Part 2: Make a Fact Family

Each house has a number on the roof (the total), and we need to choose two numbers that add up to it, then write the four facts.

First yellow house: Roof = 14

We can pick any pair that adds to 14. Common choices: 6 and 8, or 5 and 9, etc. Since it’s open-ended, we’ll pick simple ones.

Let’s pick 6 and 8.

Then fact family:

6 + 8 = 14
8 + 6 = 14
14 - 6 = 8
14 - 8 = 6

Second green house: Roof = 20

Pick 10 and 10? Or 9 and 11? Let’s pick 10 and 10 for simplicity.

Fact family:

10 + 10 = 20
10 + 10 = 20 (same)
20 - 10 = 10
20 - 10 = 10

But sometimes teachers prefer different numbers. Let’s pick 12 and 8 instead.

12 + 8 = 20
8 + 12 = 20
20 - 12 = 8
20 - 8 = 12

Better.

Third yellow house: Roof = 42

Pick 20 and 22? Or 21 and 21? Or 15 and 27? Let’s pick 20 and 22.

20 + 22 = 42
22 + 20 = 42
42 - 20 = 22
42 - 22 = 20

Or simpler: 21 and 21.

21 + 21 = 42
21 + 21 = 42
42 - 21 = 21
42 - 21 = 21

Also fine.

Since the problem says “create your own”, any valid pair is acceptable.

I’ll go with:

House 1 (14): 6 and 8
House 2 (20): 12 and 8
House 3 (42): 21 and 21

Now, writing the final answers clearly.

──────────────────────────────────────

Final Answer:

Part 1:
- First house (pink): Roof = 15
- Second house (green): Right window = 18
- Third house (purple): Left window = 21

Part 2 (example answers — you can choose other pairs too):

Yellow house (14): Use 6 and 8
→ 6 + 8 = 14
→ 8 + 6 = 14
→ 14 - 6 = 8
→ 14 - 8 = 6

Green house (20): Use 12 and 8
→ 12 + 8 = 20
→ 8 + 12 = 20
→ 20 - 12 = 8
→ 20 - 8 = 12

Yellow house (42): Use 21 and 21
→ 21 + 21 = 42
→ 21 + 21 = 42
→ 42 - 21 = 21
→ 42 - 21 = 21

(Note: For Part 2, other correct pairs are acceptable as long as they add to the roof number.)
Parent Tip: Review the logic above to help your child master the concept of 2nd grade fact family worksheet.
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