IA2.AT.B: Make sense of and solve equations and systems of equations.

Make sense of and solve equations and systems of equations.

IA2.AT.B.4Create and solve quadratic equations in one variable. a. Create quadratic equations in one variable to represent relationships between quantities. b. Flexibly choose and apply methods to solve quadratic equations based on their initial form (i.e., solve equations by recognizing perfect squares (e.g., x² = 49), taking square roots, factoring when possible, completing the square, or applying the quadratic formula when necessary). Justify the selected method by reasoning about the structure of the equation and interpret the solution in context when applicable. c. Represent complex solutions as a ± bi for real numbers a and b.IA2.AT.B.5Solve radical equations in one variable that contain a single radical term. Explain why some solutions may be extraneous and justify whether a given solution is valid based on a given context.IA2.AT.B.6Create, solve, and analyze systems consisting of a linear and a quadratic equation in two variables in context. a. Create systems consisting of a linear and a quadratic equation to represent relationships. b. Solve these systems exactly and approximately using algebraic methods (i.e., substitution), graphical methods, or tables. c. Interpret the meaning of the solution(s) in context.IA2.AT.B.7Use technology to solve systems of equations that include a combination of linear, exponential, quadratic, and/or radical equations. Interpret the solution(s) within a given context.

1-on-1 AI tutoring aligned to IA2.AT.B. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →