North Carolina Standard Course of Study
NC.7.RP. Ratio and Proportional Relationships
Analyze proportional relationships and use them to solve real-world and mathematical problems.
NC.7.RP.3. Use scale factors and unit rates in proportional relationships to solve ratio and percent problems.
NC.7.NS. The Number System
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
NC.7.NS.2. Apply and extend previous understandings of multiplication and division.
NC.7.NS.2.c. Use division and previous understandings of fractions and decimals.
NC.7.NS.2.c.1. Convert a fraction to a decimal using long division.
NC.7.NS.3. Solve real-world and mathematical problems involving numerical expressions with rational numbers using the four operations.
NC.7.EE. Expressions and Equations
Solve real-world and mathematical problems using numerical and algebraic expressions, equations, and inequalities.
NC.7.EE.3. Solve multi-step real-world and mathematical problems posed with rational numbers in algebraic expressions.
NC.7.EE.3.b. Convert between different forms of a number and equivalent forms of the expression as appropriate.
NC.7.EE.4. Use variables to represent quantities to solve real-world or mathematical problems.
NC.7.EE.4.a. Construct equations to solve problems by reasoning about the quantities.
NC.7.EE.4.a.1. Fluently solve multistep equations with the variable on one side, including those generated by word problems.
NC.7.EE.4.b. Construct inequalities to solve problems by reasoning about the quantities.
NC.7.EE.4.b.2. Compare an algebraic solution process for equations and an algebraic solution process for inequalities.