- A.REI.4a: Use a method of completing the square to transform any quadratic equation in x into an equation of the form (x-p)^2 = q that has the same solutions. Derive the quadratic formula from this form.
- A.REI.4b.: Solve quadratic equations in one variable. Solve quadratic equations by inspection taking square roots, completing the square, the quadratic formula, and factoring as appropriate to the initial form of the equation.
- A.SSE.3.a.: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. Factor a quadratic expression to reveal the zeros of the function it defines.
Essential Questions:- How are quadratic functions used to model, analyze, and interpret mathematical relationships?
- What are the different ways to solve a quadratic equation, and when is each appropriate?
- How can analytic and graphical methods be used to support each other in the solution of a problem?
Learning Target:- I can solve a quadratic equation by taking square roots.
- I can solve a quadratic equation by completing the square.
- I can solve a quadratic equation using the quadratic formula.
Warm-Up:Notes: Click on the image below for the PDF of the notes 9.5 Solving Quadratic Equations by The Quadratic Formula Video:Click below for the Classroom Lesson - 9.5 Solving Quadratic Equations by The Quadratic Formula Watch this video on Solving Quadratic Equations by The Quadratic Formula Watch this video on Solving Quadratic Equations by The Quadratic Formula Activities:Click on the image below for an activity - Solving Quadratic Equations by The Quadratic Formula Assessment/Homework:pg. 562 17-39 odd, 28or Woeksheet 9-5 |