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National Council of Teachers of Mathematics
Principles and Standards
for grades pre-K-2
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Standards For Grades Pre-K-2
Number & Operations
AlgebraGeometryMeasurementData Analysis &
Probability
Problem SolvingReasoning &
ProofCommunicationConnectionsRepresentation
Concrete: Abstract:
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Number & Operations
Understand numbers, ways of representing numbers, relationships among numbers, and number systems
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Number & Operations
Understand meanings of operations and how they relate to one another
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Number & Operations
Compute fluently and make reasonable estimates
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Algebra
Understand patterns, relations, and functions
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Algebra
Represent and analyze mathematical situations and structures using algebraic symbols
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Algebra
Use mathematical models to represent and understand quantitative relationships
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Algebra
Analyze change in various contexts
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Geometry
Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships
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Geometry
Specify locations and describe spatial relationships using coordinate geometry and other representational systems
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Geometry
Apply transformations and use symmetry to analyze mathematical situations
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Geometry
Use visualization, spatial reasoning, and geometric modeling to solve problems
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Measurement
Understand measurable attributes of objects and the units, systems, and processes of measurement
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Measurement
Apply appropriate techniques, tools, and formulas to determine measurements
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Data Analysis & Probability
Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them
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Data Analysis & Probability
Select and use appropriate statistical methods to analyze data
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Data Analysis & Probability
Develop and evaluate inferences and predictions that are based on data
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Data Analysis & Probability
Understand and apply basic concepts of probability