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.

Number and Numeration

2. Students use number sense and numeration to develop an understanding of the multiple uses of
numbers in the real world, the use of numbers to communicate mathematically, and the use of
numbers in the development of mathematical ideas.

Students:

     understand, represent, and use numbers in a variety of equivalent forms (integer, fraction,
     decimal, percent, exponential, expanded and scientific notation).
     understand and apply ratios, proportions, and percents through a wide variety of hands-on
     explorations.
     develop an understanding of number theory (primes, factors, and multiples).
     recognize order relations for decimals, integers, and rational numbers.

This is evident, for example, when students:

     use prime factors of a group of denominators to determine the least common denominator.
     select two pairs from a number of ratios and prove that they are in proportion.
     demonstrate the concept that a number can be symbolized by many different numerals as
     in:

1/4 = 3/12 = 25/100 = 0.25 = 25%