1. Knows how to evaluate and manipulate algebraic expressions, equations, and formulas
a. perform arithmetic operations on polynomials
b. manipulate and perform arithmetic operations on problems involving rational expressions
c. evaluate, manipulate, and compare algebraic expressions involving radicals and exponents, including negative exponents
d. use variables to construct and solve equations in real-world contexts
e. translate verbal relationships into algebraic equations or expressions
2. Knows how to recognize and represent linear relationships algebraically
a. determine the equation of a line
b. recognize and use the basic forms of linear equations
3. Knows how to solve linear equations and inequalities
a. solve one-variable linear equations and inequalities algebraically and represent solutions on a number line
4. Knows how to represent and solve nonlinear equations and inequalities
a. solve one-variable nonlinear equations and inequalities (e.g., absolute value, quadratic) algebraically and represent solutions on a number line
5. Knows how to represent and solve systems of equations and inequalities
a. represent and solve systems of linear equations and inequalities with two variables algebraically and graphically
6. Knows how to recognize and represent simple sequences or patterns (e.g., arithmetic, geometric)
a. evaluate, extend, or algebraically represent rules that involve number patterns
b. describe or extend patterns involving shapes or figures
c. explore patterns in order to make conjectures, predictions, or generalizations