New York State Learning Standards and Core Curriculum
NY-7.NS. The Number System
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
NY-7.NS.1d. Apply properties of operations as strategies to add and subtract rational numbers.
NY-7.NS.2a. Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.
NY-7.NS.2b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(ݑ/ݰݑ) = ޢȒݑ/ݰݑ = ްݑ/ݢȒݑ. Interpret quotients of rational numbers by describing real-world contexts.
NY-7.NS.2c. Apply properties of operations as strategies to multiply and divide rational numbers.
NY-7.EE. Expressions, Equations and Inequalities
Solve real-life and mathematical problems using numerical and algebraic expressions, equations and inequalities.
NY-7.EE.4a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are rational numbers and x represents the unknown quantity. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.