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Mathematics Content Standards K-12
Standard 1:  Number  and  Operations
Through communication, representation,
reasoning and proof, problem solving,
and making connections within and beyond the field of mathematics,
students will demonstrate an understanding of numbers,
ways of representing numbers,
and relationships among numbers and number systems,
demonstrate meanings of operations and
how they relate to one another,
and compute fluently and make reasonable estimates.
Standard 2: Algebra
Through communication, representation,
reasoning and proof, problem solving,
and making connections within and beyond the field of mathematics,
students will demonstrate understanding of patterns,
relations and functions,
represent and analyze mathematical situations
and structures using algebraic symbols,
use mathematical models to represent and understand quantitative relationships,
and analyze change in various contexts.
Standard 3: Geometry
Through communication, representation, reasoning and proof, problem solving,
and making connections within and beyond the field of mathematics,
students will analyze characteristics and
properties of two- and three-dimensional geometric shapes
and develop mathematical arguments about geometric relationships,
specify locations and describe spatial relationships
using coordinate geometry and other representational systems,
apply transformations
and use symmetry to analyze mathematical situations,
and  solve problems using visualization,
spatial reasoning,
and geometric modeling.
Standard 4:  Measurement
Through communication, representation,
reasoning and proof,
problem solving, and
and making connections within and beyond the field of mathematics,
students will demonstrate understanding of measurable attributes
of objects and the units,
systems, and processes of measurement,
and apply appropriate techniques,
tools and formulas to determine measurements.
Standard 5:  Data and Probability
Through  communication, representation,
reasoning and proof,
problem solving, and
and making connections within and beyond the field of mathematics,
students will formulate questions
that can be addressed with data and collect,
organize,
and display relevant data to answer them,
select and use appropriate statistical methods
to analyze data
develop  and evaluate  inferences
and predictions that are based on models,
and apply and demonstrate an understanding
of basic concepts of probability.

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