A1.8 Unit Overview

Students solve quadratic equations and systems of equations using reasoning, factoring, the zero-product property, completing the square, and the quadratic formula. They convert expressions between factored, standard, and vertex form to support them in solving equations and identifying key features of functions.

By Amplify Classroom

Grades: 9th - 12th Grade

Subject: Math

Learning goals: Sub-Unit 1: Multiplying and Factoring (Lessons 1–7 + Practice Day + Quiz) • Convert quadratic expressions between factored and standard form by multiplying and factoring. • Use factoring and the zero-product property to solve equations and determine the zeros of quadratic functions. Sub-Unit 2: Solving Equations and Completing the Square (Lessons 8–13 + Practice Day) • Solve quadratic equations with no solutions, one solution, and two solutions using reasoning, graphs, and completing the square. • Complete the square in order to reveal the vertex of a quadratic function. Sub-Unit 3: The Quadratic Formula and More (Lessons 14–18 + Practice Day) • Derive the quadratic formula and use it to solve quadratic equations.