Standard 1:  Understands and applies problem solving strategies

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

a:

Applies problem solving strategies

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

a:

Verifies solutions by logical argument

	Standard 2:  Understands and applies concepts of numbers and operations

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

a:

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

b:

Understands the use of negative and positive numbers in computations

c:

Compares fractions, decimals, and percents

d:

Uses ratios and proportions to represent quantitative relationships

e:

Expresses numbers using exponents

f:

Understands number theory

Interval Benchmark 2: Understands the properties of operations

a:

Uses the properties of operations to simplify computations

b:

Uses order of operations, including grouping symbols, to simplify computations

Interval Benchmark 3: Computes fluently and makes reasonable estimates

a:

Uses appropriate methods to compute with fractions

b:

Uses appropriate methods to compute with decimals

c:

Uses appropriate methods to compute with integers

d:

Uses appropriate methods to solve proportions

e:

Uses estimation strategies for computing rational numbers

	Standard 3:  Understands and applies concepts of measurement

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

a:

Uses derived measures to express measures of attributes

b:

Applies the measurement process

Interval Benchmark 2: Uses a variety of techniques for measurement

a:

Understands the link between attribute measured and its dimension

b:

Measures the attributes of circles

c:

Understands accuracy and precision in measuring

	Standard 4:  Understands and applies properties of geometry

Interval Benchmark 1: Uses properties of figures to describe relationships

a:

Uses properties of lines to describe figures

b:

Uses properties of angles and triangles to describe figures

c:

Uses properties of circles to describe figures

Interval Benchmark 2: Uses coordinate geometry to describe relationships

a:

Uses the coordinate plane to show geometric relationships

Interval Benchmark 3: Applies the concepts of transformation and symmetry

a:

Uses transformations to determine if two figures are congruent

b:

Uses rotational symmetry to describe various figures

Interval Benchmark 4: Uses geometric reasoning to solve problems

a:

Uses geometric methods to complete basic geometric constructions

b:

Determines the circumference and area of circles

c:

Determines the area of complex figures

	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 measures of central tendency

b:

Describes factors that affect measures of central tendency

Interval Benchmark 3: Reads and interprets data

a:

Reads information from graphs

b:

Reads information from tables

c:

Interprets information from graphs and tables

Interval Benchmark 4: Uses probability concepts

a:

Determines probability of events

	Standard 6:  Understands and applies concepts of algebra and functions

Interval Benchmark 1: Represents, analyzes, and generalizes patterns

a:

Recognizes patterns and relationships as linear or non-linear

Interval Benchmark 2: Identifies functions as linear or non-linear

a:

Describes the characteristics of linear functions

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

a:

Recognizes equivalent forms of simple algebraic expressions

b:

Uses variables and appropriate operations to write expressions

c:

Uses rules to simplify expressions

Interval Benchmark 4: Uses models to represent mathematical situations

a:

Uses order of operations, including grouping symbols, to solve problems

b:

Solves equations and inequalities involving algebraic expressions

Interval Benchmark 5: Analyzes change in a variety of situations

a:

Uses line graphs to represent a constant rate of 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