Unit 3- Polynomials and Quadratics in the Real Number System
Learning
Target
3A
Description
Where to Find Help & Practice
I can identify key features of a
polynomial within a graph AND
equation and explain the connection
between roots, factors, multiplicity,
degree, and the stretch/compress
factor in writing equations of
polynomials/graphing polynomials.
Help Videos:
http://www.youtube.com/watch?v=LfodA8h8MPY
http://www.khanacademy.org/math/algebra/multiplying-factoringexpression/polynomial_basics/v/interesting-polynomial-coefficient-problem
http://www.youtube.com/watch?v=anWlXiCR01Y
http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions.faq.question.286542.html
Practice Problems:
See LT 3A Folder on class page
Pg. 277 (1-18)
Pg. 323 (21-28, 51-56)
Pg. 323 (13-14, 47-50)
UNDERSTANDING Pg. 323 (57, 59, 61, 64)
http://www.kutasoftware.com/FreeWorksheets/Alg2Worksheets/Graphing%20Polynomial%20Functions.pdf
http://www.kutasoftware.com/FreeWorksheets/Alg2Worksheets/Factors%20and%20Zeros.pdf
Graphing Calculator Videos:
See Unit 2 Learning Target Log for videos on how to find Max/Min, Roots, and y-intercept using graphing
calculators
1
3B
I can create equivalent
expressions/functions of polynomials by
applying various factoring techniques and
explain the connections between the
algebraic and graphical form of the
polynomial.
FACTORING Help Videos:
http://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-bygrouping/v/factor-by-grouping-and-factoring-completely
http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/factoring-higher-degpolynomials/v/factoring-sum-of-cubes
http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/factoring-higher-degpolynomials/v/difference-of-cubes-factoring
http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/factoring-higher-degpolynomials/v/factoring-special-products-2
http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/factoring-higher-degpolynomials/v/factoring-5th-degree-polynomial-to-find-real-zeros
STANDARD FORM (MULTIPLYING POLYNOMIALS) Help Videos:
http://www.youtube.com/watch?v=fGThIRpWEE4
http://www.youtube.com/watch?v=oDYW3hFNX2U
http://www.youtube.com/watch?v=n5lfyx68Kb8
FACTORING Practice Problems:
See LT 3B Folder on class page
Level A
Pg. 323
Pg. 336
Level B
Pg. 324
Pg. 336
(7-12)
(12-14)
(43-46)
(21-26)
http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/factoring-higher-degpolynomials/e/using-zeros-to-graph-polynomials
http://www.kutasoftware.com/FreeWorksheets/Alg2Worksheets/Factoring%20A%20Sum+Difference%20
of%20Cubes.pdf
http://www.kutasoftware.com/FreeWorksheets/Alg2Worksheets/Factoring%20By%20Grouping.pdf
2
http://www.kutasoftware.com/FreeWorksheets/Alg2Worksheets/Factoring%20%20All%20Techniques.pdf
http://www.kutasoftware.com/FreeWorksheets/Alg2Worksheets/Factoring%20Quadratic%20Form.pdf
MULTIPLYING Practice Problems:
See LT 3B Folder on class page
Pg. 316 (46-58)
Pg. 323 (1-12)
http://www.khanacademy.org/math/algebra/multiplying-factoringexpression/multiplying_polynomials/e/multiplying_polynomials
ONLY NUMBERS 16-25
http://www.kutasoftware.com/FreeWorksheets/Alg2Worksheets/Polynomial%20Basics.pdf
3C
I can explain the relationship between
roots, factors, and solving polynomials
and use this relationship to determine
when to use factoring, polynomial long
division and/or the Remainder Theorem
to solve polynomials.
LONG DIVISION Help Videos:
http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/dividing_polynomials/v/dividingpolynomials-1
http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/dividing_polynomials/v/dividingpolynomials-with-remainders
http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/dividing_polynomials/e/dividingpolynomials-with-remainders
SYNTHETIC DIVISION Help Videos:
http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/synthetic-division/v/syntheticdivision
http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/synthetic-division/v/syntheticdivision-example-2
SOLVING POLYNOMIALS Help Videos:
http://www.youtube.com/watch?v=dKE6L7JrDyo
http://www.youtube.com/watch?v=s5YPpO3IAQc
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LONG DIVISION Practice Problems:
See LT 3C Folder on class page
Level A
Pg. 330 (1-8, 42-51)
Level B
Pg. 330 (9-12, 37, 40, 41)
http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/dividing_polynomials/e/remainde
r-theorem-of-polynomials
http://www.kutasoftware.com/FreeWorksheets/Alg2Worksheets/More%20on%20Factors,%20Zeros,%20a
nd%20Dividing.pdf
http://www.kutasoftware.com/FreeWorksheets/Alg2Worksheets/The%20Remainder%20Theorem.pdf
SYNTHETIC DIVISION Practice Problems:
See LT 3C Folder on class page
Level A
Pg. 330 (13-22)
Level B
Pg. 330 (26-35, 38, 39, 42-55)
Level C
Pg. 330 (23-25, 36, 56, 57, 59)
SOLVING POLYNOMIALS Practice Problems:
See LT 3C Folder on class page
Pg.
Pg.
Pg.
Pg.
337
323
323
324
(27-59)
(16-20)
(29-36)
(43-46)
http://www.khanacademy.org/math/algebra/quadratics/factoring_quadratics/e/solving_quadratics_by_fac
toring
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3D
I can analyze a quadratic problem, within
context, formulate a mathematical model
(equation, table, graph etc.), compute an
answer or rewrite the expression to reveal
new information, and interpret the
meaning of my results.
QUADRATIC MODELING Help Videos:
http://www.youtube.com/watch?v=IhszN4qGV0E
http://www.youtube.com/watch?v=K6Cpoa8xivE
http://www.youtube.com/watch?v=nAdVUXsMQe4
http://www.youtube.com/watch?v=sIXpHZ-q91A
QUADRATIC REGRESSION Help Videos:
TI 83/84s
http://www.youtube.com/watch?v=74bdyEF6Ugw
TI 89
http://www.youtube.com/watch?v=S4LpbbrMN4c
QUADRATIC FORMULA Help Videos:
http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/quad_formula_tutorial/v/usingthe-quadratic-formula
MODELING PROBLEMS Practice Problems:
See LT 3D Folder on class page
Level A/B
Pg. 253 (54, 55)
Pg. 260 (42, 57)
Pg. 275 (65)
Pg. 290 (37, 39, 49, 50)
Pg. 298 (53, 56, 67, 68)
Level C
Pg. 254 (56, 65)
QUADRATIC REGRESSION Practice Problems:
See LT 3D Folder on class page
Level A/B
Pg. 245 (16-26, 30-31, 38)
Level C
Pg. 325 (13-24, 59)
5
QUADRATIC FORMULA Practice Problems:
Level A
Pg. 297
Level B
Pg. 298
Pg. 275
Level C
Pg. 297
Pg. 274
(1-21)
(41-52)
(36-53)
(69-71)
(13-18)
http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/quad_formula_tutorial/e/quadra
tic_equation
http://www.kutasoftware.com/FreeWorksheets/Alg2Worksheets/Quadratic%20Formula.pdf
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