To do that, you would have to never touch the money and invest aggressively. Most wouldn’t do that unless they didn’t need the money, i.e. already rich so not newfound wealth.

You would also have to train your kids to responsibly use the money without demonstrating it, as you’d just be hoarding it. People don’t have a good track record there, either.

I think the best you could do generationally with a million would be to try to invest moderately and draw down a small percentage (2-3%) to demonstrate fully considered use of the money. This would keep you in a middle class income but give you more ability to donate charitably, vacation together, let one spouse retire earlier, solve a financial crisis for a child, etc.

Letting them in on the thinking would give them a good chance to handle a high six/low seven figure inheritance, depending on how the investing goes.