Byram Hills Central School District

This information has been taken directly from the Accelerate U - Standards and Resource Guides (with approval) from the K-12 Education, NEW YORK STATE EDUCATION DEPARTMENT site. No information in this document has been changed.

Learning Standards for Mathematics, Science, and Technology at Three Levels

Standard 3: Commencement

Patterns/Functions

7. Students use patterns and functions to develop mathematical power, appreciate the true beauty
of mathematics, and construct generalizations that describe patterns simply and efficiently.

Students:

     use function vocabulary and notation.
     represent and analyze functions using verbal descriptions, tables, equations, and graphs.
     translate among the verbal descriptions, tables, equations and graphic forms of functions.
     analyze the effect of parametric changes on the graphs of functions.
     apply linear, exponential, and quadratic functions in the solution of problems.
     apply and interpret transformations to functions.
     model real-world situations with the appropriate function.
     apply axiomatic structure to algebra and geometry.
     use computers and graphing calculators to analyze mathematical phenomena.

This is evident, for example, when students:

     determine, in more than one way, whether or not a specific relation is a function.
     explain the relationship between the roots of a quadratic equation and the intercepts of its
     corresponding graph.
     use transformations to determine the inverse of a function.