Our approach to elementary years science was to lay a foundation for future science study with hands-on exploration, child-led experimenting, lots of reading, and asking questions. The natural world was our laboratory.
For math we employed regular and steady bite-sized lessons and practice to build basic skills and understanding.
Now with older children, we seek to inspire science and math studies with story, engaging materials, mentors and teachers, and our own enthusiasm for the subjects and their real life applications. Our young adult students are free to decide which upper level math and sciences they will study and to what depth. I.e.: it's not required.