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: Intermediate

Students will understand mathematics and become mathematically confident by communicating and reasoning mathematically, by applying mathematics in real-world settings, and by solving problems through the integrated study of number systems, geometry, algebra, data analysis, probability, and trigonometry.

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:

     visualize, represent, and transform two- and three-dimensional shapes.
     use maps and scale drawings to represent real objects or places.
     use the coordinate plane to explore geometric ideas.
     represent numerical relationships in one- and two-dimensional graphs.
     use variables to represent relationships.
     use concrete materials and diagrams to describe the operation of real world processes and
     systems.
     develop and explore models that do and do not rely on chance.
     investigate both two- and three-dimensional transformations.
     use appropriate tools to construct and verify geometric relationships.
     develop procedures for basic geometric constructions.

This is evident, for example, when students:

     build a city skyline to demonstrate skill in linear measurements, scale drawing, ratio,
     fractions, angles, and geometric shapes.
     bisect an angle using a straight edge and compass.
     draw a complex of geometric figures to illustrate that the intersection of a plane and a
     sphere is a circle or point.