April 27, 2015

Students use the quadratic formula to solve quadratic equations that cannot be easily factored.

Students understand that the discriminant, b2 - 4ac, can be used to determine whether a quadratic equation has one, two, or no real solutions.

- Mathematics > General
- Mathematics > Algebra

- Grade 9
- Grade 10

Make sense of problems and persevere in solving them.

Reason abstractly and quantitatively.

Model with mathematics.

Use appropriate tools strategically.

Attend to precision.

Look for and make use of structure.

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.