This math unit begins with understanding algebraic functions in the context of finding integer pairs that satisfy conditions of sum and product in quadratic expressions, incorporating negatives for complexity. Students progress to manipulating quadratic equations directly by identifying relationships between their roots, sums, and products. Initially, they focus on the fundamentals such as solving and understanding polynomials and quadratic equations, moving towards intermediate skills like identifying the greatest common factor (GCF) and factoring quadratic expressions efficiently. As the unit advances, students delve deeper into polynomial algebra by systematically transforming quadratic equations through removal of common factors and simplification processes. They practice converting from standard form to simplified expressions, mastering the skill of distinguishing correct factorization and manipulation strategies. Furthermore, the unit integrates the application of these foundational and intermediate algebraic skills in various problem-solving scenarios involving polynomial expressions, thereby enhancing understanding of advanced polynomial properties and manipulations within the broader context of algebraic functions.Skills you will learn include:
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