* recognize general and arithmetic sequences

* recognize and write recursive formulas for arithmetic sequences

* solve problems involving direct variation

* solve systems of linear equations by substitution, elimination, and graphical methods

* represent real-life situations by systems and solve

* use coordinate geometry to verify geometric properties, determine slope, length, midpoints, and equations of lines and line segments

* use paper and pencil and computer constructions to verify geometric properties and to construct geometric figures

* calculate the areas of geometric figures

* use geometry software to investigate and model geometric situations

* multiply, divide, and simplify algebraic expressions that involve positive, negative, and zero exponents

* solve quadratic equations by taking square roots, completing the square, and by factoring

* understand the meaning of radicals & simplify numerical and algebraic expressions involving them

* solve proportions

* be able to graph and recognize graphs of linear, square root, absolute value, quadratic, cubic, and exponential functions

* use transformations to graph a new function or write its equation

* solve equations involving various functions

* apply properties of one and two-dimensional shapes to solve numerical problems involving geometric figures

* be able to solve right triangle problems using basic right triangle trigonometry.

* solve elementary probability problems