Pre-Calculus+20

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] || Susan Wilson || Expand and demonstrate understanding of radicals with numerical and variable radicands including: [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: [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: where a, b, and c are rational numbers. [CN, ME, R] ||  || Demonstrate understanding of quadratic functions of the form y=ax²+bx+c and of their graphs, including: [CN, PS, R, T, V] || Melissa Holman || Demonstrate understanding of quadratic equations including the solution of: [C, CN, PS, R, T, V] ||  || Expand and demonstrate understanding of inequalities including: [C, CN, PS, T, V] || Michele Andrews (Math PLC - most likely geogebra) || Demonstrate understanding of arithmetic and geometric (finite and infinite) sequences and series. [CN, PS, R, T] ||  || Demonstrate understanding of reciprocal functions of: [CN, R, T, V] ||  ||
 * < **Outcome:** || **Contributor(s):** ||
 * < **P20.1**
 * < **P20.2**
 * computations
 * solving equations (limited to square roots and one or two radicals).
 * < **P20.3**
 * equivalent forms of expressions
 * operations on expressions
 * solving equations that can be simplified to linear or quadratic equations.
 * < **P20.4**
 * < **P20.5**
 * < **P20.6**
 * a²x² - b²y², a ≠ 0, b ≠ 0
 * a(f(x))² - b(f(x)) + c, a ≠ 0
 * a²(f(x))² - b²(g(y))², a ≠ 0, b ≠ 0
 * < **P20.7**
 * vertex
 * domain and range
 * direction of opening
 * axis of symmetry
 * x- and y-intercepts.
 * < **P20.8**
 * single variable equations
 * systems of linear-quadratic and quadratic-quadratic equations in two variables.
 * < **P20.9**
 * one-variable quadratic inequalities
 * two-variable linear and quadratic inequalities.
 * < **P20.10**
 * < **P20.11**
 * linear functions
 * quadratic functions.