RCSHS
Math Special Topics B
Unit Four
Length of
Unit
Four
Weeks
Polynomial and Rational Functions
Core Content/POS
CN.7
CN.8
CN.9
SSE.1
SSE.2
SSE.3
APR.2
APR.3
APR.4
APR.6
CED.1
CED.2
REI.2
REI.4
IF.8
ID.8
Key Concepts/Skills/Guiding Questions
Terms:
Completing the square, complex number, conjugate, degree, depressed
polynomial, Descartes’ Rule of Signs, Discriminant
Extraneous solution, Factor Theorem, Fundamental Theorem of
Algebra, Imaginary number, Integral Root Theorem, leading coefficient,
Location Principle, lower bound, Lower Bound Theorem, partial
fractions, polynomial equation, polynomial function, polynomial in one
variable, pure imaginary number, Quadratic Formula, radical equation,
radical inequality, rational equation, rational inequality, Rational Root
Theorem, Remainder Theorem, root, synthetic division, upper bound,
Upper Bound Theorem, zero
Unit Learning Targets
Students will be able to:
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I can determine roots of polynomial equations.
I can apply the Fundamental Theorem of Algebra
I can solve quadratic equations.
I can use the discriminant to describe the roots of
quadratic equations.
I can find the factors of polynomials using the
Remainder and Factor Theorems.
I can identify all possible rational roots of a polynomial
equation by using the Rational Root Theorem.
I can determine the number of positive and negative real
roots a polynomial function has.
I can approximate the real zeros of a polynomial
function.
I can solve rational equations and inequalities.
I can decompose a fraction into partial fractions.
I can solve radical equations and inequalities.
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I can write polynomial functions to model real-world data.
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I can use polynomial functions to interpret real-world
data.
I can use matrices to find a polynomial function whose
graph passes through a given set of points in the
coordinate plane.
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Rowan County Senior High School 2012-2013
2012-2013
Activities/Assessments/
Resources
Pre-test
Intentional Review with Bell Ringers
Word Wall
Think-Pair Share
Anticipation Guides
Admit/exit slips
Jigsaw
Double entry organizer
Note-taking Guide
Win-plot
TI-84 graphing calculator
Power point presentations
Infinite Algebra1 & 2
Infinite Geometry
Kahn Academy
Edmodo
Quality Core
Discovery Education
Brightstorm.com/math/algebra-2/
Inquiry-based activities
Post-test
Page 1
RCSHS
Math Special Topics B
Unit Five
Length of
Unit
Four
Weeks
Core Content/POS
APR.5
IF.3
BF.1
BF.2
SSE.4
LE.2
ID.8
Sequences and Series
Key Concepts/Skills/Guiding Questions
Activities/Assessments/
Resources
Terms:
Arithmetic mean, arithmetic sequence, arithmetic series,
Binomial Theorem, common difference, common ration,
comparison test, convergent series, divergent series, escaping
point, Euler’s Formula, exponential series, Fibonacci sequence,
fractal geometry, geometric mean, geometric sequence,
geometric series, index of summation, infinite sequence, infinite
series, limit, mathematical induction, n factorial, nth partial sum,
orbit, Pascal’s Triangle, prisoner point, ratio test, recursive
formula, sequence, sigma notation, term, trigonometric series.
Pre-test
Intentional Review with Bell Ringers
Word Wall
Think-Pair Share
Anticipation Guides
Admit/exit slips
Jigsaw
Double entry organizer
Note-taking Guide
Win-plot
TI-84 graphing calculator
Power point presentations
Infinite Algebra1 & 2
Infinite Geometry
Kahn Academy
Edmodo
Quality Core
Discovery Education
Brightstorm.com/math/algebra-2/
Inquiry-based activities
Post-test
Unit Learning Targets
Students will be able to:
 I can find the nth term and arithmetic means of an
arithmetic sequence.
 I can find the sum of n terms of an arithmetic series.
 I can find the nth term and geometric means of a
geometric sequence.
 I can find the sum of n terms of a geometric series.
 I can find the limit of the terms of an infinite sequence.
 I can find the sum of an infinite geometric series.
 I can determine whether a series is convergent or
divergent.
 I can use sigma notation.
 I can use the Binomial Theorem to expand binomials.
 I can approximate ex, trigonometric values, and
logarithms of negative numbers by using series.
 I can use Euler’s Formula to write the exponential form
of a complex number.
 I can iterate functions using real and complex numbers.
Rowan County Senior High School 2012-2013
2012-2013
Page 2
RCSHS
Math Special Topics B
Unit Six
Length of
Unit
Four
Weeks
Permutations and Combinations
Core Content/POS
CP.1
CP.2
CP.3
CP.4
CP.5
CP.6
CP.7
CP.8
CP.9
MD.1
MD.2
Key Concepts/Skills/Guiding Questions
Terms:
Basic Counting Principle, binomial experiments, circular
permutation, combination, combinatorics, complements,
conditional probability, dependent event, experimental
probability, failure, inclusive event, independent event, mutually
exclusive, odds, permutation, permutation with repetition,
probability, reduced sample space, sample space, simulation,
success, theoretical probability, tree diagram
Unit Learning Targets
Students will be able to:
 I can solve problems related to the basic Counting
Principle.
 I can distinguish between dependent and independent
events.
 I can solve problems involving permutations or
combinations.
 I can solve problems involving permutations with
repetitions.
 I can solve problems involving circular permutations.
 I can find the probability of an event.
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I can find the odds for the success and failure of an event.
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I can find the probability of independent and dependent
events.
I can identify mutually exclusive events.
I can find the probability of mutually exclusive and
inclusive events.
I can find the probability of an event given the
occurrence of another event.
I can find the probability of an event by using the
Binomial Theorem.
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Rowan County Senior High School 2012-2013
2012-2013
Activities/Assessments/
Resources
Pre-test
Intentional Review with Bell Ringers
Word Wall
Think-Pair Share
Anticipation Guides
Admit/exit slips
Jigsaw
Double entry organizer
Note-taking Guide
Win-plot
TI-84 graphing calculator
Power point presentations
Infinite Algebra1 & 2
Infinite Geometry
Kahn Academy
Edmodo
Quality Core
Discovery Education
Brightstorm.com/math/algebra-2/
Inquiry-based activities
Post-test
Page 3
RCSHS
Rowan County Senior High School 2012-2013
Math Special Topics B
2012-2013
Page 4