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
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.

Mathematical Reasoning

1. Students use mathematical reasoning to analyze mathematical situations, make conjectures,
gather evidence, and construct an argument.

Students:

     construct simple logical arguments.
     follow and judge the validity of logical arguments.
     use symbolic logic in the construction of valid arguments.
     construct proofs based on deductive reasoning.

This is evident, for example, when students:

     prove that an altitude of an isosceles triangle, drawn to the base, is perpendicular to that
     base.
     determine whether or not a given logical sentence is a tautology.
     show that the triangle having vertex coordinates of (0,6), (0,0), and (5,0) is a right triangle.