Standards

=Standards=

__NCTM__
Understand patterns, relations, and functions
 * understand relations and functions and select, convert flexibly among, and use various representations for them;
 * understand and perform transformations such as arithmetically combining, composing, and inverting commonly used functions, using technology to perform such operations on more-complicated symbolic expressions;
 * understand and compare the properties of classes of functions, including exponential, polynomial, rational, logarithmic, and periodic functions;
 * interpret representations of functions of two variables

Represent and analyze mathematical situations and structures using algebraic symbols
 * understand the meaning of equivalent forms of expressions, equations, inequalities, and relations;
 * write equivalent forms of equations, inequalities, and systems of equations and solve them with fluency—mentally or with paper and pencil in simple cases and using technology in all cases;
 * use symbolic algebra to represent and explain mathematical relationships;
 * use a variety of symbolic representations, including recursive and parametric equations, for functions and relations;
 * judge the meaning, utility, and reasonableness of the results of symbol manipulations, including those carried out by technology.

Use mathematical models to represent and understand quantitative relationships Problem Solving
 * identify essential quantitative relationships in a situation and determine the class or classes of functions that might model the relationships;
 * use symbolic expressions, including iterative and recursive forms, to represent relationships arising from various contexts;
 * draw reasonable conclusions about a situation being modeled.
 * build new mathematical knowledge through problem solving;
 * solve problems that arise in mathematics and in other contexts;
 * apply and adapt a variety of appropriate strategies to solve problems;
 * monitor and reflect on the process of mathematical problem solving.