South Dakota Content Standards
6.EE. Expressions and Equations
6.EE.A. Apply and extend previous understandings of numbers to the system of rational numbers.
6.EE.A.2. Write, read, and evaluate expressions in which letters stand for numbers.
6.EE.A.2.a. Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation "Subtract y from 5" as 5-y.
6.EE.A.2.b. Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 +7) as both a single entity and a sum of two terms.
6.EE.A.2.c. Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems.
6.EE.A.2.d. Perform arithmetic operations following the order of operations with and without parentheses, including those involving whole-number exponents.
6.EE.A.3. Apply the properties of operations to generate equivalent expressions with an emphasis on the distributive property.
6.EE.B. Reason about and solve one-variable equations and inequalities.
6.EE.B.6. Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
6.EE.B.7. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
6.EE.C. Represent and analyze quantitative relationships between dependent and independent variables.
6.EE.C.9. Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.