Algebra

  High School

• Explicitly defined and recursively defined functions
• Relations and functions
• Functions of one variable
• Transformations such as arithmetically combining, composing, and inverting commonly used functions
• Properties of classes of functions
• Representations of functions of two variables
• Equivalent forms of expressions, equations, inequalities, and relations
• Symbolic algebra
• Recursive and parametric equations for functions and relations
• Identify essential quantitative relationships
• Iterative and recursive forms of symbolic expressions
• Conclusions about a situation being modeled
• Interpret rates of change from graphical and numerical data

  Middle School

• Represent, analyze, and generalize a variety of patterns
• Different forms of representation for a relationship
• Linear and nonlinear functions
• Different uses of variables
• Symbolic expressions and graphs of lines
• Intercept and slope
• Symbolic algebra
• Linear relationships
• Simple algebraic expressions
• Solve linear equations
• Solve problems using graphs, tables, and equations
• Changes in quantities in linear relationships

  Elementary School

• Geometric and numeric patterns
• Represent and analyze patterns and functions
• Commutative, Associative and Distributive properties(whole numbers)
• Representation of variables
• Mathematical relationships using equations
• Model problem situations using graphs, tables, and equations
• Relationships between variables