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Perfect Square Trinomials: Completing the Square Mastery

Learn to complete a square for quadratic equations, solve them, and apply these principles to real-world situations. Master the topic with a minimum of 80% success on 5-minute checks and independent work. Understand how to convert expressions into perfect square trinomials and factor them. Practice completing the square by taking half of the x coefficient, squaring it, and adding that number to the expression. We will solve quadratic equations, even when the coefficient of x^2 is not 1. Get ready to excel in completing the square in this interactive lesson.

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Perfect Square Trinomials: Completing the Square Mastery

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  1. 5- Min Check What value of c will make a perfect square? What value of c will make a perfect square? Take ½ B and Square it…..1 Take ½ B and Square it…..9

  2. Completing the Square Today You will Learn: -How to complete a square for a quadratic equations -How to Use completing the square to solve quadratic equations Why? So you can apply these principles to real-world situations. Mastery is 80% or better on 5 min checks and Indy work.

  3. APK: Remember Perfect Square Trinomials? Like, this factors into: Because the middle term is double the square roots of the first and last terms….

  4. To make an expression into A trinomial square we…. Complete the Square • Take half of the x coefficient • Square it. • Add that number to the end of the expressions to “complete the square”. Example: We created a perfect square trinomial! How do we Factor it?

  5. Completing the Square Divide the middle coefficient By 2 and square. How do we Factor it?

  6. Try THIS! Complete the Square:

  7. Complete the Square • Factor • Solve for x Solve Quadratic Equations by Completing the Square Not a perfect square trinomial? Make it ONE! Add 4 to both sides to Complete square Factor

  8. Sometimes the coefficient of x^2 is not 1… And we have to Make it1. Solve by Completing the Square. Example: Divide everything by 2. Complete the square (-3/4)^2 to both sides

  9. Your Turn: Solve by completing the Square:

  10. Homework PDF Online

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