National Standards

ALGEBRA
• Understand 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

• 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; 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 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;
• Develop and evaluate inferences and predictions that are based on data;

  PROBLEM SOLVING

• Build new mathematical knowledge through problem solving;
• Solve problems that arise in mathematics and in other contexts;
• Apply and adapt a variety of appropriate strategies to solve problems;
• Monitor and reflect on the process of mathematical problem solving.

  REASONING AND PROOF

• Recognize reasoning and proof as fundamental aspects of mathematics;
• Make and investigate mathematical conjectures;
• Develop and evaluate mathematical arguments and proofs;
• Select and use various types of reasoning and methods of proof.

  COMMUNICATION

• Organize and consolidate their mathematical thinking through communication;
• Communicate their mathematical thinking coherently and clearly to peers, teachers, and others;
• Analyze and evaluate the mathematical thinking and strategies of others;
• Use the language of mathematics to express mathematical ideas precisely.

  CONNECTIONS

• Recognize and use connections among mathematical ideas;
• Understand how mathematical ideas interconnect and build on one another to produce a coherent whole;
• Recognize and apply mathematics in contexts outside of mathematics.

  REPRESENTATION

• Create and use representations to organize, record, and communicate mathematical ideas;
• Select, apply, and translate among mathematical representations to solve problems;
• Use representations to model and interpret physical, social, and mathematical phenomena.

• CONTENT STANDARD A:
  Abilities necessary to do scientific inquiry
  Understandings about scientific inquiry

• CONTENT STANDARD B:
  Motions and forces

• CONTENT STANDARD E:
  Understandings about science and technology
  Abilities of technological design