RCSHSMath Special Topics B2012-2013
Unit Four Polynomial and Rational FunctionsLength of Unit / Core Content/POS / Key Concepts/Skills/Guiding Questions / Activities/Assessments/
Resources
Four Weeks / 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 / 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:
· 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.
· I can write polynomial functions to model real-world data.
· 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. / 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 Five Sequences and Series
Length of Unit / Core Content/POS / Key Concepts/Skills/Guiding Questions / Activities/Assessments/
Resources
Four Weeks / APR.5
IF.3
BF.1
BF.2
SSE.4
LE.2
ID.8 / 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.
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. / 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 Six Permutations and Combinations
Length of Unit / Core Content/POS / Key Concepts/Skills/Guiding Questions / Activities/Assessments/
Resources
Four Weeks / CP.1
CP.2
CP.3
CP.4
CP.5
CP.6
CP.7
CP.8
CP.9
MD.1
MD.2 / 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.
· I can find the odds for the success and failure of an event.
· 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. / 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
Rowan County Senior High School 2012-2013Page 2