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EXTRAS

REGENTS EXAM ARCHIVES
1866-2017

JMAP RESOURCE ARCHIVES
AI/GEO/AII (2015-17)
IA/GE/A2 (2007-17)
Math A/B (1998-2010)

REGENTS RESOURCES
All Subjects

INTERDISCIPLINARY EXAMS

NYC TEACHER RESOURCES

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 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.

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
10/7 TST
PDF
DOC
TNS
Regents-Solving Quadratics 5
AI/A2/B
quadratic formula
2/5/5 TST
PDF
DOC
TNS
Regents-Using the Discriminant 1
AI/A2/B/SIII
1/2/10/1 TST
PDF
DOC
TNS

AII

Regents-Solving Quadratics 6
AII/SIII
complex solutions, taking square roots
1/2 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
Regents-Using the Discriminant 2
A2/B
determine nature of roots given equation
6/7 TST
PDF
DOC
TNS
Regents-Using the Discriminant 3
SIII
determine nature of roots given equation, graph
22 TST
PDF
DOC
TNS
Regents-Using the Discriminant 4
A2/B/SIII
identify equation given nature of roots, determine equation given nature of roots
2/7/11 TST
PDF
DOC
TNS

AI

Practice-Solving Quadratics 4
taking square roots

20 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 1

10 WS
PDF

Journal-Solving Quadratics
taking square roots, factoring, completing the square, quadratic formula

8 WS
PDF

Journal-Using the Discriminant

8 WS
PDF
AII
Practice-Solving Quadratics 13
complex solutions
10 WS
PDF
Practice-Using the Discriminant 2   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
Using the discriminant to find the number of solutions and solve problems VID
Finding complex solutions VID
Solving quadratic equations using the quadratic formula, complex solution VID
Finding Imaginary Root Theorem VID
 
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