| I tutored algebra students and I reccommend the following approach with Khan academy/Openstax resources. Order of Operations(No Variable) Order of Operations(One Variable) Advanced Order of Operations (One Variable)*optional - Logs, Roots, Exponentials - Polynomial multiplication/Factorization Change the variable to random symbols - Greek characters, shapes, animals Order of Operations(Multiple Variables) Introduce functions - f(x) = mx + b Connect Order of Operations with Functions - Simplify an equation and plot as a function Introduce units (basic physics equations) - Simplify to formula and Plot The goal in formal classes is to introduce order of operations with variables, the concept of functions, and how to manipulate those functions. If you are stem oriented, then this is the perfect time to introduce dimensional analysis(units) and physics-based functions. Instilling a sense of confidence and comfort with algebraic manipulation is critical. Prepping her for physics and working with functions is just smart. |