Completing the Square & Quadratic Formula
Videos and lessons to help High School students learn how to use the 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.
Suggested Learning Targets
- Transform a quadratic equation written in standard form to an equation in vertex form (x - p)2 = q by completing the square.
- Derive the quadratic formula by completing the square on the standard form of a quadratic equation.
- Complete the square.
- Solve quadratic equations, including complex solutions, using completing the square, quadratic formula, factoring, and by taking the square root.
- Derive the quadratic formula from completing the square.
- Recognize when one method is more efficient than the other.
- Interpret the discriminant.
- Understand the zero product property and use it to solve a factorable quadratic equation
Common Core: HSA-REI.B.4a
Related Topics:
Algebra
Word Problems
Common Core
(Algebra)
Common Core
for Mathematics
Part 1 of Showing how to the complete the square to solve quadratic equations.
Completing the Square 2
Part 2 of Showing how to the complete the square to solve quadratic equations.
Completing the Square 3
Part 3 of Showing how to the complete the square to solve quadratic equations.
Completing the Square 4
Part 4 of Showing how to the complete the square to solve quadratic equations.
Completing the Square 5
Part 5 of Showing how to the complete the square to solve quadratic equations.
Quadratic Formula
Deriving the Quadratic FormulaThis video shows the proof of the quadratic formula by solving ax2+bx+c by completing the square.
Completing the Square & Quadratic Formula 1
Part 1 of completing the square. This video shows how to derive the quadratic formula by completing the square, and has a song to remember the quadratic formula.
Completing the Square & Quadratic Formula 2
One more example of completing the square to solve a quadratic equation, when the coefficient of x-squared is not 1. The problem is also solved using the quadratic formula.
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