ALEX Resources

   View Standards     Standard(s): [MA2019] AL1-19 (9-12) 9 :

9. Select an appropriate method to solve a quadratic equation in one variable.

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. Explain how the quadratic formula is derived from this form.

b. Solve quadratic equations by inspection (such as x² = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation, and recognize that some solutions may not be real.

[MA2019] ACC-8 (8) 11 :

11. Select an appropriate method to solve a quadratic equation in one variable.

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. Explain how the quadratic formula is derived from this form.

b. Solve quadratic equations by inspection (such as x² = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation, and recognize that some solutions may not be real. [Algebra I with Probability, 9]

[MA2019] AL2-19 (9-12) 11 :

11. Solve quadratic equations with real coefficients that have complex solutions.

This lesson is designed to teach the students that some quadratic equations will have imaginary solutions. The lesson will examine the concept of complex numbers in terms i. The student will use the quadratic formula to solve the equations and write the the solutions in the form a +bi.

This lesson results from the ALEX Resource Gap Project.