ALGEBRA II
“I Can…” Statements
Linear Equations and Inequalities
I can solve multi-step linear equations.
I can solve compound linear inequalities.
I can solve multi-step absolute value equations.
I can solve multi-step radical equations.
I can solve linear equations and inequalities created from real-world problems.
I can solve a formula for a given formula.
Systems of Equations
I can solve a system of two linear equations by graphing.
I can solve a system of two linear equations by substitution.
I can solve a system of two linear equations by elimination through linear combination.
I can solve systems of two or three linear equations by elimination and matrices.
I can create systems of linear equations and inequalities from real-world problems.
I can solve real world problems by graphing systems of linear equations and inequalities.
I can solve a system of equations involving a linear equations involving a linear equation and a nonlinear equation.
I can verify a solution to a system within constraints of the equations or inequalities.
Quadratic Functions
I can reproduce from memory the general form of a quadratic equation.
I can describe the graph of a quadratic equation from the general form.
I can evaluate a quadratic equation when given an x-value.
I can reproduce from memory the vertex form of a quadratic equation.
I can transform between general and vertex form of a quadratic equation.
I can identify and simplify imaginary numbers.
I can solve a quadratic equation when given a y value.
I can create a quadratic equation when given points or a table of values.
I can graph, evaluate, and solve quadratic equations including those created from real world problems.
Exponential Equations
I can apply the laws of exponential functions to simplify expressions with exponents.
I can apply properties of logs to evaluate larger logs.
I can graph exponential functions.
I can evaluate exponential functions.
I can create an exponential equation from a table of values or real-world situation.
I can solve exponential functions using logarithms in real-world situations.
Polynomial Functions
I can factor polynomials using a variety of methods.
I can find zeros algebraically from factorizations.
I can graph zeros of a polynomial function.
I can describe behavior of graphs in intervals defined by zeros.
I can graph a polynomial function.
Basic Trigonometry
I can reproduce the trigonometric ratios.
I can create a reference table from a unit circle.
I can calculate trigonometric ratios using a reference table.
I can prove the Pythagorean identity.
I can calculate trigonometric ratios using Pythagorean Identities.
I can perform transformations on trigonometric graphs.
I can create an equation from a trigonometric graph.
Rational Functions
I can factor polynomials.
I can reduce rational expressions by factoring.
I can simplify rational expressions by reducing and combining.
I can solve simplified equations for all values.
I can identify and verify extraneous solutions.
I can describe features of the graph including asymptotes and removable discontinuities.
I can graph rational functions.