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National Science Education Standards (NSES):
K-4:
Unifying concepts and processes:
A - Science as inquiry:
B - Physical science:
C - Life science:
D - Earth and space science:
E - Science and technology:
F - Science in personal / social perspectives:
G - History and nature of science:
5-8:
Unifying concepts and processes:
A - Science as inquiry:
B - Physical science:
C - Life science:
D - Earth and space science:
E - Science and technology:
F - Science in personal / social perspectives:
G - History and nature of science:
9-12:
Unifying concepts and processes:
A - Science as inquiry:
B - Physical science:
C - Life science:
D - Earth and space science:
E - Science and technology:
F - Science in personal / social perspectives:
G - History and nature of science:
National Geography Standards:
Environment and society:
Human systems:
Physical systems:
Places and regions:
The uses of geography:
The world in spatial terms:
National Council of Teachers of Mathematics (NCTM):
Pre K-2:
Number and operations:
Understand numbers:
Understand meanings of operations:
Compute fluently and make reasonable estimates:
Algebra:
Understand patterns, relations, and functions:
Represent and analyze mathematical situations:
Use mathematical models to represent and understand quantitative relationships:
Analyze change in various contexts:
Geometry:
Analyze characteristics and properties of two- and three-dimensional geometric shapes:
Specify locations and describe spatial relationships:
Apply transformations and use symmetry to analyze mathematical situations:
Use visualization, spatial reasoning, and geometric modeling to solve problems:
Measurement:
Understand measurable attributes of objects and the units, systems, and processes of measurement:
Apply appropriate techniques, tools, and formulas to determine measurements:
Data analysis and probability:
Formulate questions:
Select and use appropriate statistical methods to analyze data:
Develop and evaluate inferences and predictions that are based on data:
Understand and apply basic concepts of probability:
Problem solving:
Reasoning and proof:
Communication:
Connections:
Representation:
3-5:
Number and operations:
Understand numbers:
Understand meanings of operations:
Compute fluently and make reasonable estimates:
Algebra:
Understand patterns, relations, and functions:
Represent and analyze mathematical situations:
Use mathematical models to represent and understand quantitative relationships:
Analyze change in various contexts:
Geometry:
Analyze characteristics and properties of two- and three-dimensional geometric shapes:
Specify locations and describe spatial relationships:
Apply transformations and use symmetry to analyze mathematical situations:
Use visualization, spatial reasoning, and geometric modeling to solve problems:
Measurement:
Understand measurable attributes of objects and the units, systems, and processes of measurement:
Apply appropriate techniques, tools, and formulas to determine measurements:
Data analysis and probability:
Formulate questions:
Select and use appropriate statistical methods to analyze data:
Develop and evaluate inferences and predictions that are based on data:
Understand and apply basic concepts of probability:
Problem solving:
Reasoning and proof:
Communication:
Connections:
Representation:
6-8:
Number and operations:
Understand numbers:
Understand meanings of operations:
Compute fluently and make reasonable estimates:
Algebra:
Understand patterns, relations, and functions:
Represent and analyze mathematical situations:
Use mathematical models to represent and understand quantitative relationships:
Analyze change in various contexts:
Geometry:
Analyze characteristics and properties of two- and three-dimensional geometric shapes:
Specify locations and describe spatial relationships:
Apply transformations and use symmetry to analyze mathematical situations:
Use visualization, spatial reasoning, and geometric modeling to solve problems:
Measurement:
Understand measurable attributes of objects and the units, systems, and processes of measurement:
Apply appropriate techniques, tools, and formulas to determine measurements:
Data analysis and probability:
Formulate questions:
Select and use appropriate statistical methods to analyze data:
Develop and evaluate inferences and predictions that are based on data:
Understand and apply basic concepts of probability:
Problem solving:
Reasoning and proof:
Communication:
Connections:
Representation:
9-12:
Number and operations:
Understand numbers:
Understand meanings of operations:
Compute fluently and make reasonable estimates:
Algebra:
Understand patterns, relations, and functions:
Represent and analyze mathematical situations:
Use mathematical models to represent and understand quantitative relationships:
Analyze change in various contexts:
Geometry:
Analyze characteristics and properties of two- and three-dimensional geometric shapes:
Specify locations and describe spatial relationships:
Apply transformations and use symmetry to analyze mathematical situations:
Use visualization, spatial reasoning, and geometric modeling to solve problems:
Measurement:
Understand measurable attributes of objects and the units, systems, and processes of measurement:
Apply appropriate techniques, tools, and formulas to determine measurements:
Data analysis and probability:
Formulate questions:
Select and use appropriate statistical methods to analyze data:
Develop and evaluate inferences and predictions that are based on data:
Understand and apply basic concepts of probability:
Problem solving:
Reasoning and proof:
Communication:
Connections:
Representation: