ACT Math

Lesson Plan

Solving linear equations and inequalities

Goals / Objectives

Solve a one-variable first-degree equation or inequality, including variables on both sides, parentheses, and fractional or decimal coefficients

Identify an equation with all real numbers or no solution as its solution set from the collapsed forms $0 = 0$ and $0 = c$

Reverse the inequality sign exactly when both sides are multiplied or divided by a negative, and solve a compound inequality $a < mx + b < c$

Graph a one-variable solution set on the number line with correct endpoint style and direction, and match a solution set to its graph in both directions

Answer the question as asked — including "least integer" and "greatest integer" variants — rather than reporting the raw solution

Standards

A 302. Solve one-step equations to get integer or decimal answers (16–19) A 403. Solve routine firstdegree equations (20–23) A 405. Match simple inequalities with their graphs on the number line (e.g., x ≥ – ₅�–) (20–23) A 503. Solve first-degree inequalities when the method does not involve reversing the inequality sign (24–27) A 504. Match compound inequalities with their graphs on the number line (e.g., –10.5 < x ≤ 20.3) (24–27) A 601. Manipulate expressions and equations (28–32) A 602. Solve linear inequalities when the method involves reversing the inequality sign (28–32)

Academic Vocabulary

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Materials

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Enrichment

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Accommodations

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Anticipatory Set / Bell Work

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Check for Understanding

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Guided Practice

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Independent Practice

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Pacing

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