The jump from algebra to calculus hinges on Pre-Calculus — specifically, whether a student truly understands function behavior, transformations, and trigonometric identities or is just memorizing steps. Suzie earned a 1540 SAT and studied chemical and biological engineering, so she approaches topics...

A Doctor of Engineering in Materials Science means Vazrik has spent years modeling phase diagrams, diffusion curves, and stress-strain relationships — all built on the polynomial, exponential, and trigonometric foundations that pre-calculus introduces. He teaches these function families by connectin...

Biomedical engineering at the undergraduate level means Shreeman spent years modeling biological systems with the exact toolkit pre-calculus teaches — sinusoidal waveforms for cardiac rhythms, exponential decay for drug clearance, and composite functions for signal processing chains. He digs into ho...

The jump from algebra to calculus is where most students either build momentum or lose it, and pre-calc is that bridge. Haley digs into the behavior of polynomial, rational, and exponential functions with an engineer's eye — she's used every one of these function families in her Michigan coursework ...

Heading to the University of Michigan to major in Mathematics this fall, Phil is building his pre-calculus teaching around the specific skills that tripped him up watching peers struggle — the moment rational functions stop behaving like polynomials, or when students first confront the abstraction o...

Triple-majoring in economics, mathematics, and philosophy means Thomas approaches pre-calculus from an unusually analytical angle — he doesn't just teach how to manipulate rational expressions or graph polar equations, he digs into the logical structure underneath so students can reason through unfa...

Pursuing a master's in secondary math and physics education, Brian is building his teaching around the exact course sequence where pre-calculus sits — the bridge between algebraic mechanics and the conceptual demands of calculus. His physics degree means he's especially sharp on trigonometric modeli...

The jump into Pre-Calculus is where students first encounter the function-heavy thinking that defines higher math — transformations, trigonometric identities, limits as a preview of calculus. Jack approaches each of these topics by tying them back to graphical intuition, so students can see what an ...

A PhD in applied physics means Leslie has spent years where pre-calculus isn't a course — it's the scaffolding holding together everything from wave mechanics to signal analysis. She digs into the places students typically get stuck, like connecting the algebra of rational expressions to the graphic...

Mechanical engineering at the undergraduate level means Justin spent semesters immersed in the pre-calculus toolkit — graphing rational functions to model system behavior, manipulating trigonometric identities for force analysis, and composing functions long before calculus formalized the concepts. ...