Algebra II Unit 5

Big Idea:

Graph parabolas; find domain and range of quadratic functions and solve system of equations with linear and quadratic equation.

Student Expectations:

Focus TEKS

2A.3(C) solve, algebraically, systems of two equations in two variables consisting of a linear equation and a quadratic equation

2A.3(D) determine the reasonableness of solutions to systems of a linear equation and a quadratic equation in two variables

Ongoing TEKS

2A.3(A) formulate systems of equations, including systems consisting of three linear equations in three variables and systems consisting of two equations, the first linear and the second quadratic

2A.4(A) write the quadratic function given three specified points in the plane

2A.4(H) solve quadratic inequalities

2A.7(I) write the domain and range of a function in interval notation, inequalities, and set notation

Student Learning Targets:

• I will write a quadratic function from a verbal description
• I will identify and interpret key features of the graph of a quadratic function
• I will identify key features of a quadratic function from an equation written in standard form
• I will use key features to graph a quadratic function
• I will use the discriminant to determine the nature of the solutions of a quadratic equation
• I will use the discriminant to help graph a quadratic function
• I will graph a quadratic inequality in two variables
• I will determine the solutions to a quadratic inequality by graphing
• I will use graphing to solve a system consisting of a linear and a nonlinear equation
• Interpret the solutions of a system of equations
• I will use substitution to solve a system consisting of a linear and nonlinear equation
• I will determine when a system consisting of a linear and nonlinear equation has no solution

Essential Questions:

• How do graphic, symbolic, and numeric methods of solving quadratic equations compare to one another?
• How are the real solutions of a quadratic equation related to the graph of the related quadratic function?

Extra Information:

Adopted Textbook: Springboard - Algebra II Texas Edition

District Grading Policy

Texas Gateway Online Resource Center