STANDARD COURSE OF STUDY

Students in the secondary years extend their understanding of numbers to include the complex numbers and become proficient with advanced numeric relationships, including exponential, logarithmic, trigonometric, and matrix expressions. Students develop fluency in operating with and evaluating algebraic expressions.

Appropriate tools are used to create figures and identify characteristics and properties that describe relationships among shapes. Students use and apply algebraic representations to describe geometric relationships and transformations. Basic trigonometric relationships and functions are developed to solve problems. Students will move from an inductive approach to deductive methods of proof in their study of geometric figures. A variety of proof strategies is used to verify generalizations and properties of shape and connect geometry to other branches of mathematics.

Students maintain and extend measurement skills from earlier years, especially through science and technical course work. They focus on solving measurement-related problems involving concepts of precision, tolerance, error, and multiple dimensions.

Appropriate tools are used to create figures and identify characteristics and properties that describe relationships among shapes. Students use and apply algebraic representations to describe geometric relationships and transformations. Basic trigonometric relationships and functions are developed to solve problems. Students will move from an inductive approach to deductive methods of proof in their study of geometric figures. A variety of proof strategies is used to verify generalizations and properties of shape and connect geometry to other branches of mathematics.

Students maintain and extend measurement skills from earlier years, especially through science and technical course work. They focus on solving measurement-related problems involving concepts of precision, tolerance, error, and multiple dimensions.

Students will be expected to describe and translate among graphic, algebraic, numeric, and verbal representations of relations and use those representations to solve problems. They use symbols to represent variables, parameters, and functions and extend their use of symbols to include vectors and matrices. Students use technology to assist in developing models and analytical solutions. They use appropriate terminology and notation to define function, domain, range, composition, and inverses of functions. They expand their understanding of functions to include power, polynomial, exponential, periodic, piece-wise, and recursively defined functions. They solve equations, inequalities, and systems using algebraic, tabular, numerical, and graphical methods.