Algebra+II+Essential+Learnings

= Essential Learnings and Indicators of Success =

== **EL 1** Students will simplify expressions, solve equations, inequalities, and systems of equations using various techniques. ==
 * 1) Students can simplify linear, exponential, logarthmic, polynomial, radical and rational expressions.
 * 2) Students can solve linear, absolute value, quadratic (by factoring, graphing, completing the square, quadratic formula), cubic (by factoring and graphing), radical, exponential, logarithmic, rational and polynomial equations.
 * 3) Students can solve linear, absolute value, and quadratic inequalities.
 * 4) Students can solve systems of equations and inequalities by graphing, the substitution method, the elimination method, and using graphing calculators.

== **EL 2** Students will analyze and interpret graphs using various techniques. ==
 * 1) Students obtains a catalog of parent functions, including linear, quadratic, absolute value, radical, exponential, logarithmic, rational and polynomial functions.
 * 2) Students can apply slope, domain, range, x- and y-intercepts, and transformations to graph functions.
 * 3) Students can analyze the graphs of quadratic and polynomial functions.

== **EL 3** Students will analyze, set up and solve real world problems using appropriate methods and tools to interpret results. ==
 * 1) Students can solve application problems involving linear, absolute value, step, quadratic, cubic, radical, exponential, logarithmic and rational functions.
 * 2) Students can solve problems involving direct and inverse variations.
 * 3) Students can solve application problems involving systems of equations and inequalities.
 * 4) Students can use sequences to solve application problems.

**EL 4** Students will apply probability theory and utilize statistics to predict outcomes of mathematical and scientific events.

 * 1) Students can use combinatorics, probability and statistics to solve problems.
 * 2) Students can calculate and analyze mean, median, mode and range.
 * 3) Students can use sequences to solve problems.

**EL 5** Students will appropriate technology and mathematical tools to collect information for problem solving.

 * 1) Students can graphing calculators and rulers to solve appropriate problems.
 * 2) Students can solve mathematical problems using pencil and paper.