Number and OperationsUnderstand numbers, ways of representing numbers, relationships among numbers, and number systems.

Understand meanings of operations and how they relate to one another.

Compute fluently and make reasonable estimates.

AlgebraUnderstand patterns, relations, and functions

Represent and analyze mathematical situations and structures using algebraic symbols

Use mathematical models to represent and understand quantitative relationships

Analyze change in various contexts

Geometry

Use visualization, spatial reasoning, and geometric modeling to solve problems

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

MeasurementUnderstand measurable attributes of objects and the units, systems, and processes of measurement

Apply appropriate techniques, tools, and formulas to determine measurements

Data Analysis &

Select and use appropriate statistical methods to analyze data

Understand and apply basic concepts of probability

Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them

Develop and evaluate inferences and predictions that are based on data

Apply appropriate techniques, tools, and formulas to determine measurements

Measurement

Apply appropriate techniques, tools, and formulas to determine measurements

Use visualization, spatial reasoning, and geometric modeling to solve problems

Geometry

Use visualization, spatial reasoning, and geometric modeling to solve problems

Understand patterns, relations, and functions

Algebra

Understand patterns, relations, and functions

Apply transformations and use symmetry to analyze mathematical situations

Geometry

Apply transformations and use symmetry to analyze mathematical situations

Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them

Data Analysis & Probability

Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them

Understand measurable attributes of objects and the units, systems, and processes of measurement

Measurement

Understand measurable attributes of objects and the units, systems, and processes of measurement

Compute fluently and make reasonable estimates

Number and Operations

Compute fluently and make reasonable estimates

Represent and analyze mathematical situations and structures using algebraic symbols

Algebra

Represent and analyze mathematical situations and structures using algebraic symbols

Understand and apply basic concepts of probability

Data Analysis & Probability

Understand and apply basic concepts of probability

Understand meanings of operations and how they relate to one another

Number and Operations

Understand meanings of operations and how they relate to one another

Select and use appropriate statistical methods to analyze data

Data Analysis & Probability

Select and use appropriate statistical methods to analyze data

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships

GeometryAnalyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships

Understand numbers, ways of representing numbers, relationships among numbers, and number systems

Number and Operations

Understand numbers, ways of representing numbers, relationships among numbers, and number systems

Use mathematical models to represent and understand quantitative relationships

Algebra

Use mathematical models to represent and understand quantitative relationships

Develop and evaluate inferences and predictions that are based on data

Data Analysis & Probability

Develop and evaluate inferences and predictions that are based on data

Specify locations and describe spatial relationships using coordinate geometry and other representational systems

Geometry

Specify locations and describe spatial relationships using coordinate geometry and other representational systems

Analyze change in various contexts

Algebra

Analyze change in various contexts