Franklin County Community School Corporation - Brookville, Indiana
Curriculum Map
Course Title: Algebra II Honors
Quarter: 3
Academic Year: 2011-2012
Essential Questions for this Quarter:
1.
2.
3.
4.
5.
6.
How can higher–order polynomials be used as tools to best describe and help explain real-world situations?
How can polynomials be combined using operations and transformed by factoring while applying mathematical properties?
How are the multiple representations of polynomial functions related?
How does the Fundamental Theorem of Algebra apply to solving polynomial equations?
Why do we need both exponential and logarithmic equations?
How can exponential and logarithmic functions be used as tools to best describe and help explain real-world situations?
Unit/Time Frame
Chapter 3:
Polynomial Functions
Operations with
Polynomials
3.1 Polynomials
3.2 Multiplying
Polynomials
3.3 Dividing
Polynomials
3.4 Factoring
Polynomials
Applying Polynomial
Functions
3.5 Finding Real Roots
of Polynomial
Equations
3.6 Fundamental
Theorem of Algebra
3.7 Investigating
Graphs of Polynomial
Functions
3.8 Transforming
Polynomial Functions
3.9 Curve Fitting with
Polynomial Models
Standards
State
Standards
A2.1.1a
A2.1.1d
A2.1.5a
A2.1.5b
A2.1.5c
A2.1.5d
A2.1.1e
A2.1.1f
A2.5.2a
A2.5.3a
A2.5.3b
A2.5.4a
A2.5.5a
A2.5.5b
A2.5.6a
A2.5.7a
A2.5.7b
A2.5.7c
A2.3.7b
A2.3.1a
A2.3.1b
A2.3.1c
A2.3.1d
A2.3.1e
A2.3.2a
Content
Polynomials
Add and subtract
polynomials
Multiply polynomials
Divide polynomials
Factor polynomials
Polynomial Functions
Roots of Polynomials
Rational Root Theorem
Fundamental Theorem of
Algebra
Graphs of Polynomial
Functions
Polynomial Models
Skills
 Identify, evaluate, add, and subtract
polynomials.
 Classify and graph polynomials.
 Multiply polynomials.
 Use binomial expansion to expand
binomial expressions that are
raised to positive integer powers.
 Use long division and synthetic
division to divide polynomials.
 Use the Factor Theorem to
determine factors of a polynomial.
 Factor the sum and difference of
two cubes.
 Identify the multiplicity or roots.
 Use the Rational Root Theorem
and the Irrational Root Theorem to
solve polynomial equations.
 Use the Fundamental Theorem of
algebra and its corollary to write a
polynomial equation of least degree
with given roots.
 Identify all of the roots of a
polynomial equation.
 Use properties of end behavior to
analyze, describe, and graph
polynomial functions.
Assessment
Textbook
assignments
Worksheet
assignments
Notebooks
Quizzes
Tests
Oral responses
Observations
Resources
Textbook: Holt
McDougal
Algebra 2 –
common core
edition
Textbook: Holt
McDougal Algebra
2 – 2011 edition
Textbook: Prentice
Hall Algebra 2 –
2011 edition
Textbook: Dolciani
“The Classic”
Algebra and
Trigonometry –
2000 edition
Textbook: Merrill
Algebra Two
Power Point
Presentations
TI 84Plus
Franklin County Community School Corporation - Brookville, Indiana
Curriculum Map
Course Title: Algebra II Honors
Quarter: 3
Academic Year: 2011-2012
Essential Questions for this Quarter:
1.
2.
3.
4.
5.
6.
How can higher–order polynomials be used as tools to best describe and help explain real-world situations?
How can polynomials be combined using operations and transformed by factoring while applying mathematical properties?
How are the multiple representations of polynomial functions related?
How does the Fundamental Theorem of Algebra apply to solving polynomial equations?
Why do we need both exponential and logarithmic equations?
How can exponential and logarithmic functions be used as tools to best describe and help explain real-world situations?
Unit/Time Frame
Chapter 4:
Expponential and
Logarithmic
Functions
Exponential Functions
and Logarithms
4.1 Exponential
Functions, Growth and
Decay
4.2 Inverses of
Relations and
Functions
4.3 Logarithmic
Functions
4.4 Properties of
Logarithms
Standards
A2.3.2b
A2.3.3b
A2.7.1a
A2.7.1b
A2.7.1c
A2.7.2a
A2.7.2b
A2.7.2c
A2.7.3a
A2.7.3b
A2.7.4a
A2.7.4b
A2.7.4c
A2.7.4d
A2.7.5a
A2.7.6a
A2.7.6b
A2.7.7a
A2.7.8a
A2.7.8b
Standards for
Mathematical
Practice
SMP1-8
Content
Exponential Functions
Inverses of Relations and
Functions
Logarithms
Logarithmic Functions
Common Logarithms
Properties of Logarithms
Skills
 Identify and use maxima and
minima of polynomial functions to
solve problems.
 Transform polynomial functions.
 Use finite differences to determine
the degree of a polynomial that will
fit a given set of data.
 Use technology to find polynomial
models for a given set of data.
 Write and evaluate exponential
expressions to model growth and
decay situations.
 Graph and recognize inverses of
relations and functions.
 Find inverses of functions.
 Write equivalent forms for
exponential and logarithmic
functions.
 Write, evaluate, and graph
logarithmic functions.
 Use properties to simplify
logarithmic expressions.
 Translate between logarithms and
any base.
Assessment
Resources
Graphing
Calculator
ADP Core 40
Algebra II Item
Sampler
SAT sample tests
from the college
board
Franklin County Community School Corporation - Brookville, Indiana
Curriculum Map
Course Title: Algebra II Honors
Quarter: 3
Academic Year: 2011-2012
Essential Questions for this Quarter:
1.
2.
3.
4.
5.
6.
How can higher–order polynomials be used as tools to best describe and help explain real-world situations?
How can polynomials be combined using operations and transformed by factoring while applying mathematical properties?
How are the multiple representations of polynomial functions related?
How does the Fundamental Theorem of Algebra apply to solving polynomial equations?
Why do we need both exponential and logarithmic equations?
How can exponential and logarithmic functions be used as tools to best describe and help explain real-world situations?
Unit/Time Frame
Standards
Applying Exponential
and Logarithmic
Functions
4.5 Exponential and
Logarithmic Equations
and Inequalities
4.6 The Natural Base,e
4.7 Transforming
Exponential and
Logarithmic Functions
4.8 Curve Fitting with
Exponential and
Logarithmic Models
Common Core
Standards
CC.9-12:
N.CN.7-9
A.SSE.1,2
A.CED.1-3
A. APR.1-6
A.REI.11
F.IF.5
F.IF.7
F.IF.8
F.BF.3-5
F.LE.4
Content
Exponential and
Logarithmic Equations
The Natural Base, e
Natural Logarithms
Exponential and
Logarithmic Graphs
Exponential and
Logarithmic Models
Skills
 Solve exponential and logarithmic
equations and inequalities.
 Solve problems involving
exponential and logarighmic
equations.
 Use the number e to write and
graph exponential functions
representing real-world situations.
 Solve equations and problems
involving e or natural logarithms.
 Transform exponential and
logarithmic functions by changing
parameters.
 Describe the effects of changes in
the coefficients of exponential and
logarithmic functions.
 Model data by using exponential
and logarithmic functions.
 Use exponential and logarithmic
models to analyze and predict.
Assessment
Resources
Franklin County Community School Corporation - Brookville, Indiana
COMMON CORE AND INDIANA ACADEMIC STANDARDS