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.

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:

     recognize, describe, and generalize a wide variety of patterns and functions.
     describe and represent patterns and functional relationships using tables, charts and
     graphs, algebraic expressions, rules, and verbal descriptions.
     develop methods to solve basic linear and quadratic equations.
     develop an understanding of functions and functional relationships: that a change in one
     quantity (variable) results in change in another.
     verify results of substituting variables.
     apply the concept of similarity in relevant situations.
     use properties of polygons to classify them.
     explore relationships involving points, lines, angles, and planes.
     develop and apply the Pythagorean principle in the solution of problems.
     explore and develop basic concepts of right triangle trigonometry.
     use patterns and functions to represent and solve problems.

This is evident, for example, when students:

     find the height of a building when a 20-foot ladder reaches the top of the building when its
     base is 12 feet away from the structure.
     investigate number patterns through palindromes (pick a 2-digit number, reverse it and add
     the two-repeat the process until a palindrome appears) 42 86 +24 +68 palindrome 66
     154 +451 605 +506 palindrome 1111
     solve linear equations, such as 2(x + 3) = x + 5 by several methods