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 * Concept A: Permutations and Combinations**


 * A.1** To apply the fundamental counting principles to determine the number of possibilities that exist in a given situation.
 * A.2** To determine the number of permutations of n objects. (nPn = n!)
 * A.3** To determine the number of permutations of n different objects, taken r at a time. (nPr)
 * A.4** To determine the number of permutations of n objects, not all different.
 * A.5** To determine the number of permutations of n objects arranged in a circle.
 * A.6** To determine the number of combinations of n objects, taken r at a time.
 * A.7** To determine the number of combinations formed from more than one subset.

Concept B: Data Analysis


 * B.1** To list and describe the methods used to collect data.
 * B.2** To obtain data for real-world situations by using simulations (such as Monte Carlo simulations).
 * B.3** To review the methods for determining the measures of central tendency.
 * B.4** To construct box and whisker plots from simulated data.
 * B.5** To define and utilize the concept of percentiles (including the first, second, and third quartiles).
 * B.6** To solve related problems using statistical inference.

Concept C: Polynomials and Rational Expressions


 * C.1** To factor the difference of squares of special polynomials.
 * C.2** To factor the sum and difference of cubes.
 * C.3** To factor polynomials using the factor theorem.
 * C.4** To use the remainder theorem to determine the remainder when a polynomial is divided by (x-r).
 * C.5** To simplify rational expressions involving opposites.
 * C.6** To add and subtract rational expressions with polynomial denominators.
 * C.7** To multiply and divide rational expressions involving opposites.
 * C.8** To solve and verify linear equations in one variable involving rational algebraic expressions (including polynomial denominators).
 * C.9** To solve and verify the solutions of quadratic equations involving rational algebraic expressions

Concept D: Exponents and Radicals


 * D.1** To evaluate powers with rational exponents.
 * D.2** To apply the laws of exponents to simplify expressions involving rational exponents.
 * D.3** To write exponential expressions in radical form.
 * D.4** To simplify square root and cube root expressions.
 * D.5** To write radical expressions in exponential form.
 * D.6** To add, subtract, multiply and divide square root and cube root expressions.
 * D.7** To rationalize monomial and binomial denominators in radical expressions.
 * D.8** To solve and verify the solutions of quadratic equations by factoring, completing the trinomial square, and using the quadratic formula. **D.9** To solve and verify equations involving absolute value.
 * D.10** To solve radical equations with two unlike radicands.
 * D.11** To solve word problems involving radical equations.


 * Concept E: Relations and Functions**