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### Problem:
1. So-hee scuba dives with a group of friends. First, she dives 3 meters below the surface of the water. Next, she goes 5 meters deeper.

#### a. Write a numerical expression to represent So-hee’s diving depth.
- **Solution**: 
   - So-hee first dives 3 meters below the surface, which can be represented as -3 (negative because she’s going below the surface).
   - Then, she dives 5 meters deeper, which adds to the depth, so you subtract another 5 meters.
   - The numerical expression representing this dive is:
   \[
   -3 - 5
   \]

#### b. Represent your numerical expression on a vertical number line.
- **Solution**: 
   - Start at 0 (the surface of the water).
   - Move 3 units down to -3.
   - From -3, move 5 units further down to -8.
   - So-hee’s final position is at -8 meters on the vertical number line.

Would you like further details or visual representation of this on a number line? Here are five related questions to deepen your understanding:

1. How would the expression change if So-hee ascended 4 meters after diving 5 meters deeper?
2. If So-hee started from the surface and dove 10 meters deeper directly, how would the expression change?
3. How can you express a similar scenario if So-hee dives below sea level and then comes back up?
4. How would this problem change if So-hee's second dive was only 2 meters deeper instead of 5?
5. Can you create a similar problem involving a different scenario, such as climbing a mountain?

**Tip**: Always remember, when working with depths below sea level, you're dealing with negative numbers!

So-hee scuba dives with a group of friends. First, she dives 3 meters below the surface of the water. Next, she goes 5 meters deeper. a) Write a numerical expression to represent So-hee’s diving depth. b) Represent your numerical expression on a vertical number line.

Learn how to solve a scuba diving depth problem involving negative numbers. Understand how to represent So-hee’s dive using a numerical expression and visualize it on a vertical number line. This exercise covers basic arithmetic concepts and is suitable for students in Grades 4-6.

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