Yes—a netbook can be appropriate for a fifth grader, with clear rules and adult guidance. Your preference for keeping computers in shared areas is compatible with a child having a laptop: you can require that it be used in the living room or kitchen and stored there overnight.

I’d set a few expectations from the start:

- Agree on when it’s used for homework and when entertainment is allowed.
- Keep it out of the bedroom at bedtime.
- Use parental controls alongside regular conversations about privacy, online behavior, and anything upsetting they encounter.
- Spend some time using it together so you understand what they’re doing.

The American Academy of Pediatrics recommends a [family media plan](https://www.healthychildren.org/English/family-life/Media/Pages/how-to-make-a-family-media-use-plan.aspx) with agreed rules and screen-free times and places.

I’d also ask the school what support comes with the laptop: safety settings, instruction on responsible use, and arrangements for repairs. Completing homework shows effort, but online judgment is a separate skill that needs teaching.

My bigger reservation is making a useful school tool a reward for achievement. If students need computers for learning, I’d want the school to ensure that children who struggle with homework also have access. With sensible supervision and support, though, I’d be comfortable with a fifth grader using one.