ACT Math

Lesson Plan

Solving quadratics (factoring, formula, completing the square)

Goals / Objectives

Solve a quadratic equation by rewriting it in standard form and choosing the fastest method from its form: the zero-product principle, the square-root method, completing the square, or the quadratic formula

Apply the zero-product principle to a factored quadratic equation, producing both roots with correct signs, and explain why the product must equal zero and no other value

Solve $x^2 = k$ and $(x+h)^2 = k$ by the square-root method, reporting both roots and handling $k<0$ and $k=0$

Complete the square to solve a quadratic, including when $a \neq 1$ and when $b$ is odd

Apply the quadratic formula correctly, including when $a$ is negative and when the roots are irrational

Standards

A 506. Identify solutions to simple quadratic equations A 507. Solve quadratic equations in the form (x + a)(x + b) = 0, where a and b are numbers or variables A 509. Work with squares and square roots of numbers A 605. Solve quadratic equations A 601. Manipulate expressions and equations F 401. Evaluate linear and quadratic functions, expressed in function notation, at integer values

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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