Standard Correlation for Grades 3-5

Number and Operations

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

Understands meanings of operations and how they relate to one another

Computes fluently and makes reasonable estimates

Algebraic Thinking

Understands patterns, relations, and functions

Represents and analyzes mathematical situations and structures using algebraic symbols

Uses mathematical models to represent and understand quantitative relationships

Analyzes change in various contexts

Geometry

Analyzes characteristics and properties of 2 and 3 dimensional geometric shapes and develops mathematical arguments about geometric relationships

Specifies locations and describes spatial relationships using coordinate geometry and other representational systems

Applies transformations and uses symmetry to analyze mathematical situations

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

Measurement

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

Applies appropriate techniques, tools, and formulas to determine measurements

Data Analysis and Probability

Formulates questions that can be address with data and collect, organize, and display relevant data to answer them

Selects and uses appropriate statistical methods to analyze data

Develops and evaluates inferences and predictions that are based on data

Understands and applies basic concepts of probability

Problem Solving

Builds new mathematical knowledge through problem solving

Solves problems that arise in mathematics and in other contexts

Applies and adapts a variety of appropriate strategies to solve problems

Monitors and reflects on the process of mathematical problem solving

Reasoning and Proof

Recognizes reasoning and proof as fundamental aspects of mathematics

Makes and investigates mathematical conjectures

Develops and evaluates  mathematical arguments and proofs

Selects and uses various types of reasoning and methods of proof

Communication

Organizes and consolidates mathematical thinking through communication

Communicates mathematical thinking coherently and clearly to peers, teachers, and others

Analyzes and evaluates mathematical thinking and strategies to others

Uses the language of mathematics to express mathematical ideas precisely

Connections

Recognizes and uses connections among mathematical ideas

Understands how mathematical ideas interconnect and build on one another to produce a coherent whole

Recognizes and applies mathematics in contexts outside of mathematics

Representation

Creates and uses representations to organize, record, and communicate mathematical ideas

Selects, applies, and translates among mathematical representations to solve problems

Uses representations to model and interpret physical, social, and  mathematical phenomena

Standard Correlation for Grades 6-8

Number and Operations

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

Understands meanings of operations and how they relate to one another

Computes fluently and makes reasonable estimates

Algebraic Thinking

Understands patterns, relations, and functions

Represents and analyzes mathematical situations and structures using algebraic symbols

Uses mathematical models to represent and understand quantitative relationships

Analyzes change in various contexts

Geometry

Analyzes characteristics and properties of 2 and 3 dimensional geometric shapes and develops mathematical arguments about geometric relationships

Specifies locations and describes spatial relationships using coordinate geometry and other representational systems

Applies transformations and uses symmetry to analyze mathematical situations

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

Measurement

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

Applies appropriate techniques, tools, and formulas to determine measurements

Data Analysis and Probability

Formulates questions that can be address with data and collect, organize, and display relevant data to answer them

Selects and uses appropriate statistical methods to analyze data

Develops and evaluates inferences and predictions that are based on data

Understands and applies basic concepts of probability

Problem Solving

Builds new mathematical knowledge through problem solving

Solves problems that arise in mathematics and in other contexts

Applies and adapts a variety of appropriate strategies to solve problems

Monitors and reflects on the process of mathematical problem solving

Reasoning and Proof

Recognizes reasoning and proof as fundamental aspects of mathematics

Makes and investigates mathematical conjectures

Develops and evaluates  mathematical arguments and proofs

Selects and uses various types of reasoning and methods of proof

Communication

Organizes and consolidates mathematical thinking through communication

Communicates mathematical thinking coherently and clearly to peers, teachers, and others

Analyzes and evaluates mathematical thinking and strategies to others

Uses the language of mathematics to express mathematical ideas precisely

Connections

Recognizes and uses connections among mathematical ideas

Understands how mathematical ideas interconnect and build on one another to produce a coherent whole

Recognizes and applies mathematics in contexts outside of mathematics

Representation

Creates and uses representations to organize, record, and communicate mathematical ideas

Selects, applies, and translates among mathematical representations to solve problems

Uses representations to model and interpret physical, social, and  mathematical phenomena

Standard Correlation for Grades 9-12

Number and Operations

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

Understands meanings of operations and how they relate to one another

Computes fluently and makes reasonable estimates

Algebraic Thinking

Understands patterns, relations, and functions

Represents and analyzes mathematical situations and structures using algebraic symbols

Uses mathematical models to represent and understand quantitative relationships

Analyzes change in various contexts

Geometry

Analyzes characteristics and properties of 2 and 3 dimensional geometric shapes and develops mathematical arguments about geometric relationships

Specifies locations and describes spatial relationships using coordinate geometry and other representational systems

Applies transformations and uses symmetry to analyze mathematical situations

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

Measurement

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

Applies appropriate techniques, tools, and formulas to determine measurements

Data Analysis and Probability

Formulates questions that can be address with data and collect, organize, and display relevant data to answer them

Selects and uses appropriate statistical methods to analyze data

Develops and evaluates inferences and predictions that are based on data

Understands and applies basic concepts of probability

Problem Solving

Builds new mathematical knowledge through problem solving

Solves problems that arise in mathematics and in other contexts

Applies and adapts a variety of appropriate strategies to solve problems

Monitors and reflects on the process of mathematical problem solving

Reasoning and Proof

Recognizes reasoning and proof as fundamental aspects of mathematics

Makes and investigates mathematical conjectures

Develops and evaluates  mathematical arguments and proofs

Selects and uses various types of reasoning and methods of proof

Communication

Organizes and consolidates mathematical thinking through communication

Communicates mathematical thinking coherently and clearly to peers, teachers, and others

Analyzes and evaluates mathematical thinking and strategies to others

Uses the language of mathematics to express mathematical ideas precisely

Connections

Recognizes and uses connections among mathematical ideas

Understands how mathematical ideas interconnect and build on one another to produce a coherent whole

Recognizes and applies mathematics in contexts outside of mathematics

Representation

Creates and uses representations to organize, record, and communicate mathematical ideas

Selects, applies, and translates among mathematical representations to solve problems

Uses representations to model and interpret physical, social, and  mathematical phenomena