# Standards for the lesson planAlgebra: Cell Phone Plans

These standards and benchmarks are from McREL's online database, Content Knowledge: A Compendium of Standards and Benchmarks for K-12 education (4th edition, 2004) (http://www.mcrel.org/standards-benchmarks/.) The mathematics portion of the database was developed using National Council of Teachers of Mathematics (NCTM) standards in addition to other nationally recognized standards documents.

Standard 1: Uses a variety of strategies in the problem-solving process

Benchmark 1: Uses a variety of strategies (e.g., identify a pattern, use equivalent representations) to understand new mathematical content and to develop more efficient solution methods or problem extensions

Benchmark 2: Constructs algorithms for multi-step and non-routine problems

Benchmark 5: Uses formal mathematical language and notation to represent ideas, to demonstrate relationships within and among representation systems, and to formulate generalizations

Benchmark 7: Understands connections between equivalent representations and corresponding procedures of the same problem situation or mathematical concept (e.g., a zero of a function corresponds to an x-intercept of the graph of the function, the correspondence of binary multiplication to a series electrical circuit and the logical operation "and")

Standard 4: Understands and applies basic and advanced properties of the concepts of measurement

Benchmark 1: Solves problems involving rate as a measure (e.g., speed, density)

Standard 8: Understands and applies basic and advanced properties of functions and algebra

Benchmark 2: Uses expressions, equations, inequalities, and matrices to represent situations that involve variable quantities and translates among these representations

Benchmark 4: Understands properties of graphs and the relationship between a graph and its corresponding expression (e.g., maximum and minimum points)

Benchmark 7: Uses a variety of models (e.g., written statement, algebraic formula, table of input-output values, graph) to represent functions, patterns, and relationships

Benchmark 11: Uses a variety of methods (e.g., with graphs, algebraic methods, and matrices) to solve systems of equations and inequalities

Standard 9: Understands the general nature and uses of mathematics

Benchmark 7: Understands that mathematics provides a precise system to describe objects, events, and relationships and to construct logical arguments