Lesson Plan

Determine by substitution whether an ordered pair satisfies a linear inequality in two variables

Graph a linear inequality in two variables: plot the boundary, choose solid or dashed from the symbol's strictness, and shade the correct half-plane using a test point

Graph a system of two or more linear inequalities and identify the overlap as the solution region

Verify membership in a solution region both graphically and by substituting into every inequality

Recover a system of inequalities from a shaded region by reading boundaries, line styles, and one interior test point

Translate a constraint word problem into a system of inequalities, including the implicit non-negativity constraints

A 405. Match simple inequalities with their graphs on the number line (e.g., x ≥ – ⁵⁄₂) A 503. Solve first-degree inequalities when the method does not involve reversing the inequality sign A 504. Match compound inequalities with their graphs on the number line (e.g., –10.5 < x ≤ 20.3) A 602. Solve linear inequalities when the method involves reversing the inequality sign A 603. Match linear inequalities with their graphs on the number line A 701. Solve simple absolute value inequalities A 702. Match simple quadratic inequalities with their graphs on the number line AF 502. Build functions and write expressions, equations, or inequalities with a single variable for common pre-algebra settings (e.g., rate and distance problems and problems that can be solved by using proportions) AF 602. Build functions and write expressions, equations, and inequalities for common algebra settings (e.g., distance to a point on a curve and profit for variable cost and demand) AF 702. Build functions and write expressions, equations, and inequalities when the process requires planning and/or strategic manipulation AF 503. Match linear equations with their graphs in the coordinate plane AF 704. Analyze and draw conclusions based on information from graphs in the coordinate plane A 604. Solve systems of two linear equations