Apply and extend previous understandings of arithmetic to algebraic expressions. NC.6.EE.1 

Write and evaluate numerical expressions, with and without grouping symbols, involving whole-number exponents. 

Apply and extend previous understandings of arithmetic to algebraic expressions. NC.6.EE.2 Write, read, and evaluate algebraic expressions.

• Write expressions that record operations with numbers and with letters standing for numbers. 

• Identify parts of an expression using mathematical terms and view one or more of those parts as a single entity. 

• Evaluate expressions at specific values of their variables using expressions that arise from formulas used in real-world problems. 

Apply and extend previous understandings of arithmetic to algebraic expressions. NC.6.EE.3 Apply the properties of operations to generate equivalent expressions without exponents. 

Apply and extend previous understandings of arithmetic to algebraic expressions. NC.6.EE.4 Identify when two expressions are equivalent and justify with mathematical reasoning. 

NC.6.EE.5 Use substitution to determine whether a given number in a specified set makes an equation true. 

Reason about and solve one-variable equations. 

NC.6.EE.6 Use variables to represent numbers and write expressions when solving a real-world or mathematical problem.

Reason about and solve one-variable equations. 

NC.6.EE.7 Solve real-world and mathematical problems by writing and solving equations of the form: 

• 𝑥𝑥+𝑝𝑝=𝑞𝑞 in which p, q and x are all nonnegative rational numbers; and, 

• 𝑝𝑝∙𝑥𝑥=𝑞𝑞 for cases in which p, q and x are all nonnegative rational numbers 

Reason about one variable inequalities. 

NC.6.EE.8 Reason about inequalities by:

• Using substitution to determine whether a given number in a specified set makes an inequality true. 

• Writing an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem.

•  Recognizing that inequalities of the form x > c or x < c have infinitely many solutions. 

• Representing solutions of inequalities on number line diagrams. 

Represent and analyze quantitative relationships between dependent and independent variables. 

NC.6.EE.9 Represent and analyze quantitative relationships by: 

• Uing variables to represent two quantities in a real-world or mathematical context that change in relationship to one another. 

• Analyze the relationship between quantities in different representations (context, equations, tables, and graphs).