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:
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.

Operations

3. Students use mathematical operations and relationships among them to understand
mathematics.

Students:

     add, subtract, multiply, and divide fractions, decimals, and integers.
     explore and use the operations dealing with roots and powers.
     use grouping symbols (parentheses) to clarify the intended order of operations.
     apply the associative, commutative, distributive, inverse, and identity properties.
     demonstrate an understanding of operational algorithms (procedures for adding,
     subtracting, etc.).
     develop appropriate proficiency with facts and algorithms.
     apply concepts of ratio and proportion to solve problems.

This is evident, for example, when students:

     create area models to help in understanding fractions, decimals, and percents.
     find the missing number in a proportion in which three of the numbers are known, and
     letters are used as place holders.
     arrange a set of fractions in order, from the smallest to the largest:

3/4 , 1/5 , 2/3 , 1/2 , 1/4

illustrate the distributive property for multiplication over addition, such as 2(a + 3) = 2a +
6.