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

Modeling/Multiple Representation

4. Students use mathematical modeling/multiple representation to provide a means of presenting,
interpreting, communicating, and connecting mathematical information and relationships.

Students:

     represent problem situations symbolically by using algebraic expressions, sequences, tree
     diagrams, geometric figures, and graphs.
     manipulate symbolic representations to explore concepts at an abstract level.
     choose appropriate representations to facilitate the solving of a problem.
     use learning technologies to make and verify geometric conjectures .
     justify the procedures for basic geometric constructions.
     investigate transformations in the coordinate plane.
     develop meaning for basic conic sections.
     develop and apply the concept of basic loci to compound loci.
     use graphing utilities to create and explore geometric and algebraic models.
     model real-world problems with systems of equations and inequalities.

This is evident, for example, when students:

     determine the locus of points equidistant from two parallel lines.
     explain why the basic construction of bisecting a line is valid.
     describe the various conics produced when the equation ax2 + by2 = c2 is graphed for
     various values of a, b, and c.