Expressions, Equations, and Inequalities

6.EEI.1Write and evaluate numerical expressions involving whole-number exponents and positive rational number bases using the Order of Operations.6.EEI.2Extend the concepts of numerical expressions to algebraic expressions involving positive rational numbers.6.EEI.2aTranslate between algebraic expressions and verbal phrases that include variables.6.EEI.2bInvestigate and identify parts of algebraic expressions using mathematical terminology, including term, coefficient, constant, and factor.6.EEI.2cEvaluate real-world and algebraic expressions for specific values using the Order of Operations. Grouping symbols should be limited to parentheses, braces, and brackets. Exponents should be limited to whole-numbers.6.EEI.3Apply mathematical properties (e.g., commutative, associative, distributive) to generate equivalent expressions.6.EEI.4Apply mathematical properties (e.g., commutative, associative, distributive) to justify that two expressions are equivalent.6.EEI.5Understand that if any solutions exist, the solution set for an equation or inequality consists of values that make the equation or inequality true.6.EEI.6Write expressions using variables to represent quantities in real-world and mathematical situations. Understand the meaning of the variable in the context of the situation.6.EEI.7Write and solve one-step linear equations in one variable involving nonnegative rational numbers for real-world and mathematical situations.6.EEI.8Extend knowledge of inequalities used to compare numerical expressions to include algebraic expressions in real-world and mathematical situations.6.EEI.8aWrite an inequality of the form x>c or x<c and graph the solution set on a number line.6.EEI.8bRecognize that inequalities have infinitely many solutions.6.EEI.9Investigate multiple representations of relationships in real-world and mathematical situations.6.EEI.9aWrite an equation that models a relationship between independent and dependent variables.6.EEI.9bAnalyze the relationship between independent and dependent variables using graphs and tables.6.EEI.9cTranslate among graphs, tables, and equations.
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