Learning Goal
Solving quadratics (factoring, formula, completing square, square roots)
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, the properties of operations, and/or reasoning about equality to solve: • quadratic equations in one variable presented in a wide variety of forms."
"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."
"• polynomial equations in one variable that are written in factored form."
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"Make strategic use of algebraic structure, the properties of operations, and/or reasoning about equality to solve: • quadratic equations in one variable presented in a wide variety of forms."
"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."
"• polynomial equations in one variable that are written in factored form."
What you'll learn
- Solve a quadratic equation in one variable by the most efficient of four methods — factoring, square roots, completing the square, or the quadratic formula — chosen by inspecting the equation's structure before solving
- Solve by factoring from standard form $ax^2 + bx + c = 0$, and explain from the zero-product property why the right side must be zero
- Solve by taking square roots, producing both the positive and the negative root
- Solve by completing the square (dividing by the leading coefficient first when it is not 1) and by the quadratic formula, leaving irrational roots in exact form
- Recognize a double root and state what it means about the equation's factorization
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
Not yet available • Check back soon!