CCSS.Math.Content.HSA.REI.B.4 - Solve quadratic equations in one variable.

CCSS.Math.Content.HSA.REI.B.4.A - 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.

CCSS.Math.Content.HSA.REI.B.4.B - Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.

 
Authors: National Governors Association Center for Best Practices, Council of Chief State School Officers

Title: CCSS.Math.Content.HSA.REI.B.4 Solve Quadratic Equations In One Variable. Reasoning with Equations & Inequalities - High School Algebra Mathematics Common Core State Standards

Publisher: National Governors Association Center for Best Practices, Council of Chief State School Officers, Washington D.C.

Copyright Date: 2010

(Page last edited 10/08/2017)

1. Complete the Square - Algebra 1 - Fill in the number that makes the polynomial a perfect-square quadratic. An on-screen form is provided for the student to provide the missing term to complete a perfect-square quadratic. New problems are provided after each answer and score is kept over a timed interval. Explanation of wrong answers are provided.
2. Complete the Square - Algebra 2 - Fill in the number that makes the polynomial a perfect-square quadratic. An on-screen form is provided for the student to provide the missing term to complete a perfect-square quadratic. New problems are provided after each answer and score is kept over a timed interval. Explanation of wrong answers are provided.
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16. Quadratic Formula (proof) - Deriving the quadratic formula by completing the square.
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19. Quadratic functions - Solve a quadratic equation by factoring
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