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:

Justifies a solution

	Standard 2:  Understands and applies concepts of numbers and operations

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

a:

Applies counting rules to decimals and fractions

b:

Uses number theory concepts

c:

Uses place value for any given number

d:

Compares and orders numbers

e:

Represents fractions, decimals, and percents

f:

Understands fraction concepts

Interval Benchmark 2: Understands the properties of operations

a:

Applies the properties of multiplication and division

Interval Benchmark 3: Computes fluently and makes reasonable estimates

a:

Performs operations with whole numbers, fractions, and decimals

b:

Applies mental strategies to perform computation

c:

Uses estimation strategies

d:

Solves multiple-step problems

	Standard 3:  Understands and applies concepts of measurement

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

a:

Compares and orders objects according to their measurable attributes

b:

Applies the process of measurement

Interval Benchmark 2: Uses a variety of techniques for measurement

a:

Selects the appropriate unit for a measurement situation

b:

Converts measurements within systems

c:

Uses appropriate techniques to make change

d:

Calculates elapsed time

e:

Uses the appropriate tool for a measurement situation

f:

Determines the perimeter of simple figures

g:

Determines the area of a triangle

h:

Uses appropriate strategies to estimate measurement

i:

Makes measurement estimates and checks for accuracy

	Standard 4:  Understands and applies properties of geometry

Interval Benchmark 1: Identifies basic properties of figures

a:

Classifies plane and solid figures according to their properties

b:

Compares triangles by their properties

Interval Benchmark 2: Uses coordinate geometry to describe relationships

a:

Uses the four quadrants of the coordinate plane to specify locations, describe paths, and find distance between points

Interval Benchmark 3: Applies the basic concepts of transformation and symmetry

a:

Uses transformations to show that two figures are congruent

b:

Identifies line and rotational symmetry in two- and three-dimensional figures

Interval Benchmark 4: Uses geometric reasoning to solve problems

a:

Creates mental images of two- and three-dimensional figures

b:

Determines the perimeter of figures

c:

Determines the area of 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:

Compares two data sets using central tendency

Interval Benchmark 3: Reads and interprets data

a:

Reads information from graphs and tables

b:

Interprets information from graphs

Interval Benchmark 4: Uses basic probability concepts to describe events

a:

Understands the meaning of statistical predictions

	Standard 6:  Understands and applies concepts of algebra and functions

Interval Benchmark 1: Recognizes patterns and the rules that explain them

a:

Makes generalizations about patterns

Interval Benchmark 2: Understands the basic concept of a function

a:

Describes a function by its rule

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

a:

Uses variables and numbers interchangeably

b:

Uses operation properties to simplify expressions

Interval Benchmark 4: Uses models to represent mathematical problems

a:

Uses expressions and equations to represent problem situations

b:

Writes and solves an equation for a multiple-step problem involving whole numbers

Interval Benchmark 5: Analyzes change in a variety of situations

a:

Compares situations with constant or varying rates 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:

Conncects 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