This math unit begins with students learning how to expand and simplify algebraic expressions involving squared terms. As the unit advances, learners systematically delve into quadratic functions, starting with identifying whether quadratic polynomials are perfect squares. They practice the technique of completing the square, initially with simpler forms where the leading coefficient is 1 or -1, and subsequently handling quadratic equations with variable coefficients (both positive and negative). These exercises prepare students to transform quadratic expressions into vertex form, gradually moving from partial completion to fully completing the square. By the end of the unit, students become proficient in manipulating and transforming quadratic functions, developing key skills in rewriting equations to reveal maximum and minimum values and other properties critical for understanding the geometry of parabolas. This progression deepens their comprehension of algebraic structures and polynomial behavior in quadratic equations.Skills you will learn include:
Topics are small, focused areas which build towards the greater unit's goals.