Arizona's College and Career Ready Standards
AZ.7.NS. The Number System (NS)
7.NS.A. Apply and extend previous understanding of operations with fractions to add, subtract, multiply, and divide rational numbers except division by zero.
7.NS.A.1. Add and subtract integers and other rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
7.NS.A.1.d. Apply properties of operations as strategies to add and subtract rational numbers.
7.NS.A.2. Multiply and divide integers and other rational numbers.
7.NS.A.2.a. 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 context.
7.NS.A.2.b. 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 –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world context.
7.NS.A.2.c. Apply properties of operations as strategies to multiply and divide rational numbers.
AZ.7.EE. Expressions and Equations (EE)
7.EE.B. Solve mathematical problems and problems in real-world context using numerical and algebraic expressions and equations.
7.EE.B.4. Use variables to represent quantities in mathematical problems and problems in real-world context, and construct simple equations and inequalities to solve problems.
7.EE.B.4.a. Solve word problems leading to equations of the form px+q = r and p(x+q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.