Digital SAT Math

Lesson Plan

Solving rational equations (extraneous solutions)

Goals / Objectives

Solve a rational equation by writing its excluded values first, multiplying every term by the LCD, and rejecting any candidate on the exclusion list, reporting no solution when every candidate is excluded

Find every excluded value by setting each denominator to zero, factoring first where needed

Solve a proportion by cross-multiplication, and explain it as the LCD step in one line

Distinguish the contradiction, identity and excluded-candidate outcomes after clearing denominators

Solve a formula containing the target variable in a denominator

Standards

"Make strategic use of algebraic structure, the properties of operations, and/or reasoning about equality to solve: • linear absolute value equations in one variable or simple rational and radical equations in one variable." "Given an equation or formula in two or more variables, view it as an equation in a single variable of interest where the other variables are parameters, and solve for the variable of interest."

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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