Ch 3-Patterns & Variables

NC.6.EE.1 Write and evaluate numerical expressions, with and without grouping symbols, involving whole-number exponents.

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. 

NC.6.EE.3 Apply the properties of operations to generate equivalent expressions without exponents.

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

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

NC.6.EE.7 6Reason 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 .

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. 

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

• Using 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).