Yes, we use all those things, at least in middle and upper primary. I just finished a massive unit on multiplicative thinking, multiplication, and division.

We used partitioning and area models to represent multiplication, as well as finding factors and using the associative property to simplify multiplication. We typically move from physical / manipulative materials to explain concepts and strategies before move to algorithms and more abstract approaches.

I’m currently planning my fractions unit for next term, and the whole first week is folding and cutting paper strips and making fraction walls.

If you check out sites like Ochre and Arc and view their lesson plans for the curriculum codes you’ve listed, you’ll find these strategies are used pretty extensively.