Arizona's College and Career Ready Standards
AZ.7.RP. Ratio and Proportion (RP)
7.RP.A. Analyze proportional relationships and use them to solve mathematical problems and problems in real-world context.
7.RP.A.3. Use proportional relationships to solve multi-step ratio and percent problems (e.g., simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error).
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.2. Multiply and divide integers and other rational numbers.
7.NS.A.2.d. Convert a rational number to decimal form using long division; know that the decimal form of a rational number terminates in 0’s or eventually repeats.
7.NS.A.3. Solve mathematical problems and problems in real-world context involving the four operations with rational numbers. Computations with rational numbers extend the rules for manipulating fractions to complex fractions where a/b ÷ c/d when a,b,c,and d are all integers and b,c, and d ≠ 0.
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.3. Solve multi-step mathematical problems and problems in real-world context posed with positive and negative rational numbers in any form. Convert between forms as appropriate and assess the reasonableness of answers. For example, If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50 per hour.
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.