NCTM: Grades 9-12

Analyze change in various contexts

Represent and analyze mathematical situations and structures using algebraic symbols

Understand patterns, relations, and functions

Use mathematical models to represent and understand quantitative relationships

Develop and evaluate inferences and predictions that are based on data

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

Understand and apply basic concepts of probability

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

Apply transformations and use symmetry to analyze mathematical situations

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

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

Apply appropriate techniques, tools, and formulas to determine measurements

Compute fluently and make reasonable estimates

Understand meanings of operations and how they relate to one another

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