A.10
Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite in equivalent forms and perform operations on polynomial expressions. The student is expected to:
(A) add and subtract polynomials of degree one and degree two;
(B) multiply polynomials of degree one and degree two;
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(C) determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend;
(D) rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property;
(E) factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two; and
(F) decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial.
A.11
Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to rewrite algebraic expressions into equivalent forms. The student is expected to:
(A) simplify numerical radical expressions involving square roots; and
(B) simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.
A.12
Number and algebraic methods. The student applies the mathematical process standards and algebraic methods to write, solve, analyze, and evaluate equations, relations, and functions. The student is expected to:
(A) decide whether relations represented verbally, tabularly, graphically, and symbolically define a function;
(B) evaluate functions, expressed in function notation, given one or more elements in their domains;
(C) identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes;
(D) write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms; and
(E) solve mathematic and scientific formulas, and other literal equations, for a specified variable.
