The challenge is to decide which theory to teach first.
When teaching theories or rules, it is important to give examples to illustrate the main ideas.
However, the example may also illlustrate the incompleteness of an explanation which utilizes only a few of theories.
Sometimes one rule is needed to explain a second rule, but
the first rule does not seem useful until the second rule is learned.
Once a student has studied calculus and differential equations, she or he can look back at the basic laws of
chemistry from a new perspective. In my opinion, the rules
of math are more interesting when you can apply them to the laws of physics and chemistry.
I found that in writing some pages, the flow went deep into areas outside of what a chemistry student is expected to learn.
From a practical side, you probably want to spend most of your time learning the chemistry curriculum that you would be tested over on a standardized test. Your high score makes you look good, and the school and teacher look good too.
On the other hand, real research, and real problem solving don't limit themselves any one field of study. Your in depth knowledge of calculus, probability, and statistics will help you understand chemisty problems in the more advanced college courses. I'm also betting that if you go into another field, this knowledge will be beneficial when you are asked to interpret data. Part of the mission of Modern Alchemist is teach chemistry in a way that students who don't go on to chemists will agree that they learned things that helped them out in other fields, and thus they consider the class a valuable component of their education.
