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
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Materials
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Remediation
Enrichment
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Accommodations
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Anticipatory Set / Bell Work
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Modeling
Check for Understanding
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Guided Practice
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Independent Practice
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Homework
Pacing
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