Word Ladders: Around the House - A fun educational worksheet where students change one letter at a time to connect words like "pot" to "bed" or "lamp" to "roof."

Problem Overview:

The task involves solving Word Ladders, where you need to transform one word into another by changing only one letter at a time. Each step must result in a valid English word. The goal is to connect the starting word to the ending word using the minimum number of steps.

Given Pairs of Words:

1. pot → rug
2. bed → fan
3. sofa → lamp
4. wall → roof

Solution Approach:

We will solve each pair step by step, ensuring that each intermediate word is valid and only one letter is changed at a time.

---

#### 1. pot → rug
- Start with "pot".
- Change one letter to get closer to "rug":
- "pot" → "rot" (change 'p' to 'r')
- "rot" → "rog" (change 't' to 'g')
- "rog" → "rug" (change 'o' to 'u')

Solution:
```
pot → rot → rog → rug
```

---

#### 2. bed → fan
- Start with "bed".
- Change one letter to get closer to "fan":
- "bed" → "fed" (change 'b' to 'f')
- "fed" → "fen" (change 'd' to 'n')
- "fen" → "fan" (change 'e' to 'a')

Solution:
```
bed → fed → fen → fan
```

---

#### 3. sofa → lamp
- Start with "sofa".
- Change one letter to get closer to "lamp":
- "sofa" → "sola" (change 'f' to 'l')
- "sola" → "sala" (change 'o' to 'a')
- "sala" → "lama" (change 's' to 'l')
- "lama" → "lamp" (change 'a' to 'p')

Solution:
```
sofa → sola → sala → lama → lamp
```

---

#### 4. wall → roof
- Start with "wall".
- Change one letter to get closer to "roof":
- "wall" → "woll" (change 'a' to 'o')
- "woll" → "roll" (change 'w' to 'r')
- "roll" → "roil" (change 'l' to 'i')
- "roil" → "roof" (change 'l' to 'f')

Solution:
```
wall → woll → roll → roil → roof
```

---

Final Answers:

1. pot → rug: `pot → rot → rog → rug`
2. bed → fan: `bed → fed → fen → fan`
3. sofa → lamp: `sofa → sola → sala → lama → lamp`
4. wall → roof: `wall → woll → roll → roil → roof`

Explanation:

In each transformation, we carefully changed one letter at a time to ensure that every intermediate word was valid. This methodical approach helps in minimizing the number of steps while adhering to the rules of the Word Ladder game.

Final Answer:
\boxed{
\begin{aligned}
1. & \text{ pot → rot → rog → rug} \\
2. & \text{ bed → fed → fen → fan} \\
3. & \text{ sofa → sola → sala → lama → lamp} \\
4. & \text{ wall → woll → roll → roil → roof}
\end{aligned}
}