What happens to kids who complain about being bored (academically) at school?

I don't want this post to be a humble brag or a debate of if kids at this age really want to be challenged. Assuming they do and they are frustrated that they are not, and they are already in gifted class, is there anything I can do to support this type of kids? Does it get better? Do they somehow find (constructive) ways to cope with it or do they become disengaged over time? Does curriculum pick up speed at certain grade? Do people supplement at home or is it detrimental and makes school more boring? Are there any other options we should consider?

Edit: some updates after emailing the teacher for whoever has the same struggle:

My child is in a gifted program but they still have to follow state standard curriculum. She tests 99 percentile. She loves the social aspects of the school. She does all her work at school and she doesn’t have behavioral issues. Her complaints about being bored are isolated to daily maths and writing only.

I have always been the person who doesn’t want to stir things up but I finally wrote an (really nice) email to her teacher about it today.

To my surprise she said she had already noticed the math was too easy for my daughter and some other kids and they would be doing small group work with additional materials and she would also adjust her iReady. and seemed very enthusiastic about adjusting for my daughter and she said my daughter actually asked for more challenging math work herself today and she was proud of my daughter for doing so (my daughter is more reserved than average).

I asked her if challenge seeking behavior was a phase and she said in her experience kids who wanted to be challenged would always want to be challenged and it’s a great thing. She said we as teachers and parents should try to find ways to challenge them.

I also asked about her opinions on school options for my daughter next year. She said she couldn’t recommend other schools because her position (didn’t want the county school to lose students) but she said things would pick up pace at 2nd grade. While we had our EP and there was supposed to be enrichment, it wouldn’t be on a regular schedule and frankly I understand it’s hard for teachers to do individualized plans when they have 16 kids.

We are looking at Montessori and project based learning schools for my daughter next year and beyond.

And since a lot of people mentioned boredom is a good thing, I want to mention that“some” boredom is good thing and the optimal amount is highly dependent on the individual. I’d caution against using boredom to justify inaction if you are in my shoes. And please always always listen to your child and validate their feelings. it’s hard for us adults to navigate these situations and it’s even harder for a kid.