Digital SAT Math

Lesson Plan

Completing the square to write a quadratic in vertex form

Goals / Objectives

Rewrite $ax^2 + bx + c$ as $a(x-h)^2 + k$ by completing the square, and explain the added constant from $(x+p)^2 = x^2 + 2px + p^2$

Read the vertex and the minimum or maximum value from vertex form

Choose factored, vertex or standard form by what a question asks for

Standards

"Make strategic use of algebraic structure and the properties of operations to identify and create equivalent expressions: • by factoring polynomials limited to finding a common factor, rewriting binomials that represent a difference of two squares, and rewriting trinomials as the product of two binomials. • including rewriting simple rational expressions, rewriting expressions with rational exponents in radical form, and factoring polynomials not included in the preceding bullet." "Fluently add, subtract, and multiply polynomials." "Fluently solve quadratic equations in one variable, written as a quadratic expression in standard form, where using the quadratic formula or completing the square is the most efficient method for solving the equation."

Academic Vocabulary

Not in our source material

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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