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CCSS.Math.Content.HSA.REI.B.4 Solve Quadratic...

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 10/20/2014)

  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.
  3. Completing the square (old school) - Solving a quadratic by completing the square.
  4. Completing the square 1 - Find the roots of a quadratic equation by completing the square. Can also be solved by factoring.
  5. Complex roots for a quadratic - Complex Roots from the Quadratic Formula
  6. Example 4: Applying the quadratic formula - Application Problem with Quadratic Formula
  7. Examples: Factoring simple quadratics - A few examples of factoring quadratics
  8. Factoring Quadratic Expressions - Factoring Quadratic Expressions
  9. Factoring Quadratic Expressions - Example of factoring quadratic expressions
  10. Factoring Quadratics - Algebra I: Factoring Quadratics
  11. How to use the Quadratic Formula - Introduction to using the quadratic formula.
  12. Proof of Quadratic Formula - Proof of Quadratic Formula: completing the square
  13. Quadratic Equation - Algebra I: Quadratic Equation
  14. Quadratic Equation part 2 - 2 more examples of solving equations using the quadratic equation
  15. Quadratic equations - Solve an equation using the zero product property
  16. Quadratic Formula (proof) - Deriving the quadratic formula by completing the square.
  17. Quadratic formula with complex solutions - Multiple choice practice quiz
  18. Quadratic functions - Solve a quadratic equation using the zero product property
  19. Quadratic functions - Solve a quadratic equation by factoring
  20. Quadratics and Shifts - Solving quadratics and graph shifts
  21. Solutions to quadratic equations - Determine how many solutions a quadratic equation has and whether they are rational, irrational, or complex
  22. Solve a quadratic equation using square roots - How many real solutions does the equation have?
  23. Solving Quadratic Equations - Solving Quadratic Equations by completing the square
  24. Solving Quadratic Equations - Solving Quadratic Equations by taking the Square Root
  25. Solving Quadratic Equations - Solving Quadratic Equations by Square Roots

 

 

Internet4classrooms is a collaborative effort by Susan Brooks and Bill Byles.
 

  

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