My $0.02: programming doesn't slot into a tiered progression of mathematics education as usually presented in secondary and higher education. At various times, it'll utilize concepts from basic arithmetic, trig, algebra, discrete math and set logic, and even topology and linear algebra. Trying to peg it against a normal math pedagogy is going to be a recipe for frustration.

However, it can be a great motivator to learn new areas of mathematics.

Consider a simple game engine: writing a program that displays sprites on screen and moves them will build an understanding of basic coordinate systems. Collision detection requires slightly more advanced math in that coordinate space. Pathfinding (say, for enemies chasing the player) requires all that, plus basic trig, plus some understanding of randomness and probabilities.

Particle behavior (for weapons, jump physics, etc.) begs for calculus. Error-handling can be a great intro to the difference between total and partial functions, etc. etc.

This was a huge motivator for me in learning mathematics both during my time in school and beyond. Instilling a love of problem-solving through coding is a great way to put your kid on the route to continuous learning.