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:

Uses reasoning to solve problems

	Standard 2:  Understands and applies concepts of numbers and operations

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

a:

Understands the defining properties of the real number system and its subsets

b:

Understands number theory related to factors, multiples, prime numbers, and divisibility

c:

Compares fractions, decimals, and percents

d:

Uses ratios and proportions to represent quantitative relationships

e:

Expresses numbers using exponents

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:

Converts measurements within a system

b:

Determines the perimeter and area of complex figures

c:

Understands the relationship between accuracy, units, and tools

	Standard 4:  Understands and applies properties of geometry

Interval Benchmark 1: Uses properties of figures to describe relationships

a:

Describes figures using properties of lines

b:

Describes figures using properties of angles

c:

Describes figures using properties of circles

Interval Benchmark 2: Uses coordinate geometry to describe relationships

a:

Uses the coordinate plane to specify locations, describe paths, and find distances between points

Interval Benchmark 3: Applies the concepts of transformation and symmetry

a:

Describes sizes and orientations of figures using translations, rotations, and reflections

b:

Uses line symmetry to describe various figures

Interval Benchmark 4: Uses geometric reasoning to solve problems

a:

Uses models to develop spatial visualization of three-dimensional figures

b:

Determines the perimeter and area of complex figures

c:

Uses proportional reasoning

	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

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:

Uses the basic notation of probability

	Standard 6:  Understands and applies concepts of algebra and functions

Interval Benchmark 1: Represents, analyzes, and generalizes patterns

a:

Describes patterns using words, tables, graphs, and symbolic rules

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

a:

Describes functions using tables, graphs, and symbols

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

a:

Understands the different uses of variables

Interval Benchmark 4: Uses models to represent mathematical situations

a:

Solves equations involving algebraic expressions

Interval Benchmark 5: Analyzes change in a variety of situations

a:

Uses line graphs to represent various relationships

	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