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.2. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
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.3. Solve multi-step real-world and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate. Assess the reasonableness of answers using mental computation and estimation strategies.
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.