Math worksheet for practicing fact families with four house-themed problems.

Problem Description:

The task involves completing "fact families" for given sets of numbers. A fact family is a group of math facts using the same numbers, typically involving addition and subtraction (for smaller numbers) or multiplication and division (for larger numbers). The goal is to fill in the missing values based on the relationships between the numbers.

Given Fact Families:

1. Numbers: 4, 5, 9
- Equations:
- \( 4 + 5 = \_\_\_ \)
- \( 5 + 4 = \_\_\_ \)
- \( 9 - 4 = \_\_\_ \)
- \( 9 - 5 = \_\_\_ \)

2. Numbers: 3, 4, 7
- Equations:
- \( 3 + 4 = \_\_\_ \)
- \( 4 + 3 = \_\_\_ \)
- \( 7 - 3 = \_\_\_ \)
- \( 7 - 4 = \_\_\_ \)

3. Numbers: 2, 4, 6
- Equations:
- \( 2 + 4 = \_\_\_ \)
- \( 4 + 2 = \_\_\_ \)
- \( 6 - 4 = \_\_\_ \)
- \( 6 - 2 = \_\_\_ \)

4. Numbers: 3, 5, 8
- Equations:
- \( 3 + 5 = \_\_\_ \)
- \( 5 + 3 = \_\_\_ \)
- \( 8 - 3 = \_\_\_ \)
- \( 8 - 5 = \_\_\_ \)

Solution:

#### Fact Family 1: Numbers 4, 5, 9
- Addition:
- \( 4 + 5 = 9 \)
- \( 5 + 4 = 9 \)
- Subtraction:
- \( 9 - 4 = 5 \)
- \( 9 - 5 = 4 \)

#### Fact Family 2: Numbers 3, 4, 7
- Addition:
- \( 3 + 4 = 7 \)
- \( 4 + 3 = 7 \)
- Subtraction:
- \( 7 - 3 = 4 \)
- \( 7 - 4 = 3 \)

#### Fact Family 3: Numbers 2, 4, 6
- Addition:
- \( 2 + 4 = 6 \)
- \( 4 + 2 = 6 \)
- Subtraction:
- \( 6 - 4 = 2 \)
- \( 6 - 2 = 4 \)

#### Fact Family 4: Numbers 3, 5, 8
- Addition:
- \( 3 + 5 = 8 \)
- \( 5 + 3 = 8 \)
- Subtraction:
- \( 8 - 3 = 5 \)
- \( 8 - 5 = 3 \)

Final Answers:

1. Numbers: 4, 5, 9
- \( 4 + 5 = 9 \)
- \( 5 + 4 = 9 \)
- \( 9 - 4 = 5 \)
- \( 9 - 5 = 4 \)

2. Numbers: 3, 4, 7
- \( 3 + 4 = 7 \)
- \( 4 + 3 = 7 \)
- \( 7 - 3 = 4 \)
- \( 7 - 4 = 3 \)

3. Numbers: 2, 4, 6
- \( 2 + 4 = 6 \)
- \( 4 + 2 = 6 \)
- \( 6 - 4 = 2 \)
- \( 6 - 2 = 4 \)

4. Numbers: 3, 5, 8
- \( 3 + 5 = 8 \)
- \( 5 + 3 = 8 \)
- \( 8 - 3 = 5 \)
- \( 8 - 5 = 3 \)

Boxed Final Answer:

\[
\boxed{
\begin{array}{l}
\text{Fact Family 1:} \\
4 + 5 = 9, \quad 5 + 4 = 9, \quad 9 - 4 = 5, \quad 9 - 5 = 4 \\
\text{Fact Family 2:} \\
3 + 4 = 7, \quad 4 + 3 = 7, \quad 7 - 3 = 4, \quad 7 - 4 = 3 \\
\text{Fact Family 3:} \\
2 + 4 = 6, \quad 4 + 2 = 6, \quad 6 - 4 = 2, \quad 6 - 2 = 4 \\
\text{Fact Family 4:} \\
3 + 5 = 8, \quad 5 + 3 = 8, \quad 8 - 3 = 5, \quad 8 - 5 = 3
\end{array}
}
\]