Demonstrate understanding of the absolute value of real numbers and equations and functions involving the absolute value of linear and quadratic functions. ([C, PS, R, T, V])

Expand and demonstrate understanding of radicals with numerical and variable radicands including:

• computations
• solving equations (limited to square roots and one or two radicals).

([C, CN, ME, PS, R, T])

Expand and demonstrate understanding of rational expressions and equations (up to and including degree 2 numerators and denominators) including:

• equivalent forms of expressions
• operations on expressions
• solving equations that can be simplified to linear or quadratic equations.

([C, CN, ME, R])

Expand and demonstrate understanding of the primary trigonometric ratios including the use of reference angles (0° ≤ θ ≤ 360°) and the determination of exact values for trigonometric ratios. ([C, ME, PS, R, T, V])

Demonstrate understanding of the cosine law and sine law, including the ambiguous case. ([C, CN, PS, R, T])

Expand and demonstrate understanding of factoring polynomial expressions including those of the form:

• $a^2x^2-b^2y^2, a ≠ 0, b ≠ 0$
• $a(f(x))^2-b(f(x))+c,a ≠ 0$
• $a^2(f(x))^2-b^2(g(y))^2, a ≠ 0, b ≠ 0$

where a, b, and c are rational numbers. ([CN, ME, R])

Demonstrate understanding of quadratic functions of the form $y=ax^2+bx+c$ and of their graphs, including:

• vertex
• domain and range
• direction of opening
• axis of symmetry
• x- and y-intercepts.

([CN, ME, PS, R, T, V])

Demonstrate understanding of quadratic equations including the solution of:

• single variable equations
• systems of linear-quadratic and quadratic-quadratic equations in two variables.

([C, CN, PS, R, T, V])

Expand and demonstrate understanding of inequalities including:

• one-variable quadratic inequalities
• two-variable linear and quadratic inequalities.

([C, CN, PS, T, V])

Demonstrate understanding of arithmetic and geometric (finite and infinite) sequences and series. ([CN , PS, R, T])

Demonstrate understanding of reciprocal functions of:

• linear functions
• quadratic functions.

([CN, R, T, V])