STANDARD A.REI.B.4
(Shared between AI and AII)
Solve quadratic equations 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. Derive the
quadratic formula from this form. b. Solve quadratic equations by inspection
(e.g., for x^{2} = 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. |

WORKSHEETS |

AI |

Regents-Solving Quadratics 1a
AI/A
*taking square roots, MC* |
8/2 |
TST
PDF
DOC
TNS |

Regents-Solving Quadratics 1b
AI/A
*taking square roots, bimodal* |
TST
PDF
DOC |

Regents-Solving Quadratics 2a
AI/IA/A/AL
*factoring, MC* |
5/2/13/1 |
TST
PDF
DOC
TNS |

Regents-Solving Quadratics 2b
AI/IA/A/AL
*factoring, bimodal* |
TST
PDF
DOC |

Regents-Solving Quadratics 3a
IA/A/AL
*roots, MC* |
12/2/2 |
TST
PDF
DOC
TNS |

Regents-Solving Quadratics 3b
IA/A/AL
*roots, bimodal* |
TST
PDF
DOC |

Regents-Solving Quadratics 4
AI/A2
*completing the square* |
9/7 |
TST
PDF
DOC
TNS |

Regents-Solving Quadratics 5
AI/A2/B
*quadratic formula* |
2/5/5 |
TST
PDF
DOC
TNS |

Regents-Using the Discriminant
AI |
1 |
TST
PDF
DOC
TNS |

AII |

Regents-Solving Quadratics 6
SIII
*complex solutions, taking square roots* |
2 |
TST
PDF
DOC
TNS |

Regents-Solving Quadratics 7
AII/A2/B/SIII
*complex solutions, completing the square* |
1/1/5/15 |
TST
PDF
DOC
TNS |

Regents-Solving Quadratics 8
AII/B/SIII
*complex solutions, quadratic formula* |
2/1/11 |
TST
PDF
DOC
TNS |

Regents-Complex Conjugate Root
Theorem
AII/B |
1/1 |
TST
PDF
DOC
TNS |

AI |

Practice-Solving Quadratics 4
*taking square roots* |
15 |
WS
PDF |

Practice-Solving Quadratics 6
*factoring* |
17 |
WS
PDF |

Practice-Solving Quadratics 7
*factoring* |
20 |
WS
PDF |

Practice-Solving Quadratics 11
*factoring* |
10 |
WS
PDF |

Practice-Solving Quadratics 5
*factoring* |
10 |
WS
PDF |

Practice-Solving Quadratics 1
*completing the square* |
20 |
WS
PDF |

Practice-Solving Quadratics 2
*completing the square* |
10 |
WS
PDF |

Practice-Solving Quadratics 3
*completing the square* |
5 |
WS
PDF |

Practice-Solving Quadratics 8
*quadratic formula* |
5 |
WS
PDF |

Practice-Solving Quadratics 9
*quadratic formula* |
10 |
WS
PDF |

Practice-Solving Quadratics 10
*quadratic formula* |
10 |
WS
PDF |

Practice-Solving Quadratics 12
*quadratic formula* |
4 |
WS
PDF |

Practice-Using the Discriminant |
10 |
WS
PDF |

Journal-Solving Quadratics
*taking square roots, factoring, completing the square, quadratic
formula* |
8 |
WS
PDF |

AII |

Practice-Solving Quadratics 13
*complex solutions* |
10 |
WS
PDF |

LESSON PLAN |
Use Appropriate Strategies to Solve
Quadratics |
PDF
DOC |

VIDEOS |
Solving quadratic equations using square roots |
VID |

Solving quadratic equations by factoring |
VID |

Solving quadratic equations using completing the
square |
VID |

Solving quadratic equations using completing the
square when a ≠ 1 |

Solving quadratic equations using the quadratic
formula |
VID |

Solving real-world problems using the quadratic
formula |

Choosing the appropriate method to solve
quadratic equations |

Finding complex solutions |
VID |

Solving quadratic equations using the quadratic
formula, complex solution |
VID |