Standard 1:  Understands and applies problem solving strategies

Interval Benchmark 1: Uses a variety of strategies to solve problems

a:

Uses a variety of strategies to understand new mathematical content

Interval Benchmark 2: Justifies the process used to solve a numerical problem

a:

Specifies the kind of information and resources used to solve a problem

	Standard 2:  Understands and applies concepts of numbers and operations

Interval Benchmark 1: Describes the properties of numbers and number systems

a:

Understands properties of real numbers and its subsystems

b:

Explores new number systems, such as vectors and matrices

c:

Uses the appropriate form of a rational number (fraction, decimal, percent) in computations

d:

Uses the properties of roots, exponents in computations

Interval Benchmark 2: Understands the properties of operations

a:

Uses the properties of operations to simplify computations

b:

Uses the properties of operations to solve problems

Interval Benchmark 3: Computes fluently and makes reasonable estimates

a:

Uses a variety of operations on expressions containing complex numbers

b:

Uses estimation strategies for computing complex numbers

	Standard 3:  Understands and applies concepts of measurement

Interval Benchmark 1: Understands measurable attributes and the process of measurement

a:

Uses indirect and derived measures to express measures of attributes

b:

Applies the measurement process

Interval Benchmark 2: Uses a variety of techniques for measurement

a:

Converts measurements between systems

b:

Understands the importance of scale selection

c:

Uses formulas to find perimeter, area, and volume of various figures

d:

Makes reasonable estimates about the accuracy of solutions

	Standard 4:  Understands and applies properties of geometry

Interval Benchmark 1: Uses properties of figures to verify relationships

a:

Describes figures by their characteristics

b:

Uses properties of lines to describe relationsips between figures

c:

Uses properties of angles to describe relationships between figures

d:

Uses properties of circles to describe relationships between figures

e:

Uses congruence and similarity to describe relationships among figures

Interval Benchmark 2: Uses coordinate geometry to verify relationships

a:

Uses the coordinate plane to show how geometric relationships correspond directly to algebraic concepts

Interval Benchmark 3: Applies the concepts of transformation and symmetry

a:

Uses various representations to describe transformations

b:

Describes figures in terms of their symmetry

Interval Benchmark 4: Uses geometric reasoning to solve problems

a:

Uses proofs to build logical reasoning skills

b:

Uses formulas for perimeter, area, and volume of various figures

c:

Uses properties of triangles to prove and verify relationships

d:

Uses trigonometric relationships to determine lengths and angle measurements

	Standard 5:  Understands and applies concepts of data analysis and probability

Interval Benchmark 1: Collects, organizes, and displays data to answer a question

a:

Gathers data to answer questions

b:

Represents data to convey results

Interval Benchmark 2: Uses statistical methods to describe data

a:

Describes data using central tendency and other statistical terms

b:

Describes factors that affect measures of central tendency

c:

Uses different curve fitting methods to "fit" data

Interval Benchmark 3: Reads and interprets data

a:

Uses sampling distribution to make informal inferences

Interval Benchmark 4: Uses probability concepts

a:

Uses a variety of methods to determine probabilitieses

b:

Applies the concepts of conditional probability and independent events

	Standard 6:  Understands and applies concepts of algebra and functions

Interval Benchmark 1: Represents patterns and relationships in a variety of ways

a:

Uses patterns and relationships to analyze mathematical situations

Interval Benchmark 2: Describes the properties and characteristics of functions

a:

Describes functions and their properties using function notation

b:

Explores the properties of different classes of functions

Interval Benchmark 3: Uses expressions and symbols to represent mathematical relationships

a:

Rewrites algebraic expression in equivalent forms

b:

Manipulates polynomial expressions

Interval Benchmark 4: Uses models to represent mathematical situations

a:

Uses a variety of methods to solve equations

b:

Uses a variety of methods to solve quadratic equations

c:

Uses a variety of methods to graph linear equations and inequalities

d:

Uses a variety of methods to solve systems of equations

Interval Benchmark 5: Analyzes change in a variety of situations

a:

Uses a variety of representations to analyze change

	Standard 7:  Communicates and reasons mathematically

Interval Benchmark 1: Comprehends mathematical language

a:

Comprehends mathematical texts

Interval Benchmark 2: Expresses ideas using mathematical terms and representations

a:

Connects ideas to mathematical terms

Interval Benchmark 3: Analyzes and evaluates mathematical thinking

a:

Reviews mathematical thinking

Interval Benchmark 4: Uses technology to enhance mathematical learning

a:

Uses tools and technology to solve problems