Learning Goal
Completing the square to write a quadratic in vertex form
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
"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."
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"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."
What you'll learn
- 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
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
Not yet available • Check back soon!