Solve real-world and mathematical problems by writing and solving equations of the form: β’ π₯ + π = π in which π, π and π₯ are all nonnegative rational numbers; and, β’ π β π₯ = π for cases in which π, π and π₯ are all nonnegative rational numbers.
Represent and analyze quantitative relationships by: β’ Using variables to represent two quantities in a real-world or mathematical context that change in relationship to one another. β’ Analyze the relationship between quantities in different representations (context, equations, tables, and graphs).
Reason about inequalities by: β’ Using substitution to determine whether a given number in a specified set makes an inequality true. β’ Writing an inequality of the form π₯ > π or π₯ < π to represent a constraint or condition in a real-world or mathematical problem. β’ Recognizing that inequalities of the form π₯ > π or π₯ < π have infinitely many solutions. β’ Representing solutions of inequalities on number line diagrams.
Write, read, and evaluate algebraic expressions. β’ Write expressions that record operations with numbers and with letters standing for numbers. β’ Identify parts of an expression using mathematical terms and view one or more of those parts as a single entity. β’ Evaluate expressions at specific values of their variables using expressions that arise from formulas used in real-world problems.
