Arkansas Curriculum Frameworks
AR.Math.Content.7.RP. Ratios and Proportional Relationships
AR.Math.Content.7.RP.A. Analyze proportional relationships and use them to solve real-world and mathematical problems.
AR.Math.Content.7.RP.A.3. Use proportional relationships to solve multi-step ratio and percent problems. Note: Examples include but are not limited to simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease.
AR.Math.Content.7.NS. The Number System
AR.Math.Content.7.NS.A. Apply and extend previous understandings of operations with fractions.
AR.Math.Content.7.NS.A.2. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
AR.Math.Content.7.NS.A.2.F. Convert a fraction to a decimal using long division.
AR.Math.Content.7.EE. Expressions and Equations
AR.Math.Content.7.EE.B. Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
AR.Math.Content.7.EE.B.3. Solve multi-step, real-life, and mathematical problems posed with positive and negative rational numbers in any form using tools strategically. Apply properties of operations to calculate with numbers in any form (e.g., -(1/4)(n-4)). Convert between forms as appropriate (e.g., 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.). Assess the reasonableness of answers using mental computation and estimation strategies (e.g., If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.).
AR.Math.Content.7.EE.B.4. Use variables to represent quantities in a real-world or mathematical problem. Construct simple equations and inequalities to solve problems by reasoning about the quantities.
AR.Math.Content.7.EE.B.4.A. Solve word problems leading to equations of these forms px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently.