This math unit guides students through advanced aspects of polynomial and quadratic algebra, focusing on skills ranging from basic operations to complex problem-solving. Initially, students learn to expand and simplify products of binomials containing either distinct or identical variables, setting a foundation in polynomial manipulation. Progression is evident as they delve into the difference of squares, first using variables and later integrating integers, enhancing their ability to factorize and simplify expressions. As the unit progresses, the focus shifts to handling squared expressions under square roots and solving for variables in contexts involving quadratic-like structures. Students also solve expressions using the difference of squares formula and exponents, which further sharpens their skills in simplifying and determining algebraic identities and equivalencies. Ultimately, students apply these concepts to more intricate problems, such as solving polynomial algebra where squared variables with coefficients are involved, culminating in solving rational equations, thereby achieving a comprehensive understanding of polynomial and quadratic equations.Skills you will learn include:
Topics are small, focused areas which build towards the greater unit's goals.