Town of West Point Public Schools
Algebra II
Curriculum Map
Version:
May, 2012
Based on: Mathematics Standards of Learning
Adopted, 2009
Full Implementation: 2011-2012
West Point Public School
Curriculum Map
Algebra II
Assessment Map
*denotes assessment points with notes to guide assessment creation
STRAND/
TOPIC
1st Quarter
2nd Quarter
3rd Quarter
4th Quarter
(Organizing
Concepts)
AII.1a,b,c,d
Expressions
and
Operations
Equations
and
Inequalities
Functions
AII.2
AII.3
AII.4a
AII.4b
AII.5
AII.4d
AII.4c
AII.7a,b,c (linear functions)
AII.6
AII.7a,b,c (quadratic functions)
AII.6
AII.7a,b,c,d,e,f,g,h (polynomial
functions)
AII.8
AII.9
AII.6
AII.8
AII.9
Statistics
Revised: Sept. 1, 2011 (2009 SOL)
AII.8
AII.9
AII.9
AII.10
AII.11
AII.12
West Point Public School
Curriculum Map
Algebra II
Instructional Outline
STRAND/
TOPIC
1st Quarter
2nd Quarter
3rd Quarter
4th Quarter
(Organizing
Concepts)
AII.1a,b,c,d
AII.3
Expressions
and
Operations
Equations
and
Inequalities
Functions
AII.2
AII.4a
AII.4b
AII.5
AII.4d
AII.4c
AII.7a,b,c (linear functions)
AII.6
AII.7a,b,c (quadratic functions)
AII.6
AII.7a,b,c,d,e,f,g,h (polynomial
functions)
AII.8
AII.9
AII.6
AII.8
AII.9
Statistics
Revised: Sept. 1, 2011 (2009 SOL)
AII.8
AII.9
AII.9
AII.10
AII.11
AII.12
West Point Public School
Curriculum Map
Algebra II
1st QUARTER
STRAND/
TOPIC
(Organizing
Concepts)
SOL/
Objective
Essential Skills/Concepts
#(s)
Quizzes and tests when
appropriate
Vocabulary quizzes
Scatterplot project
9-week test
Expressions
and
Operations
Equations
and
Inequalities
Functions
Formative/Summative
Assessments
(Tests, Projects, etc.)
AII.4a
Solve absolute value equations and inequalities algebraically and graphically
AII.7a,b,c
Investigate and analyze linear functions algebraically and graphically:
 Identify the domain, range, zeros, and intercepts
 Describe domains and ranges
 Given the graph, identify intervals on which it is increasing and decreasing
AII.8
Describe the relationships among solutions of an equation, zeros of a function, and xintercepts of a graph
AII.9
Statistics
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Revised: Sept. 1, 2011 (2009 SOL)
Collect and analyze data – use graphing calculators to collect, organize, picture,
and create an algebraic model of the data
Investigate scatterplots to determine if patterns exist and then identify the
patterns
Make predictions, using data, scatterplots, or the equation of the curve of best fit
Instructional Resources
West Point Public School
Curriculum Map
Algebra II
STRAND/
TOPIC
(Organizing
Concepts)
SOL/
Objective
#(s)
Revised: Sept. 1, 2011 (2009 SOL)
Essential Skills/Concepts
Formative/Summative
Assessments
(Tests, Projects, etc.)
West Point Public School
Curriculum Map
Algebra II
2nd QUARTER
STRAND/
TOPICS
SOL/
Objective
Essential Skills/Concepts
#(s)
(Organizing
Concepts)
AII.1a,b,c,d
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Expressions
and
Operations

AII.3
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Revised: Sept. 1, 2011 (2009 SOL)
Add, subtract, multiply, and divide rational algebraic expressions
Simplify a rational algebraic expression with common monomial or binomial
factors
Recognize a complex algebraic fraction, and simplify it as a quotient or product of
simple algebraic fractions
Simplify radical expressions containing positive rational numbers and variables
Convert from radical notation to exponential notation, and vice versa
Add and subtract radical expressions
Multiply and divide radical expressions not requiring rationalizing the
denominators
Factor polynomials by applying general patterns including difference of squares,
sum and difference of cubes, and perfect square trinomials
Factor polynomials completely over the integers
Recognize that the square root of -1 is represented as i
Determine which field properties apply to the complex number system
Simplify radical expressions containing negative rational numbers and express in
a + bi form
Simplify powers of i
Add, subtract, and multiply complex numbers
Place the following sets of numbers in a hierarchy of subsets: complex, pure
imaginary, real, rational, irrational, integers, whole, and natural
Write a real number and a pure imaginary number in a + bi form
Formative/Summative
Assessments
(Tests, Projects, etc.)
Quizzes and tests when
appropriate
Vocabulary quizzes
18-week test
Linear equation project
West Point Public School
Curriculum Map
Algebra II
STRAND/
TOPICS
SOL/
Objective
#(s)
Essential Skills/Concepts
(Organizing
Concepts)
AII.4b
Equations
and
Inequalities
AII.5
AII.6
Functions
AII.7a,b,c
AII.8
Revised: Sept. 1, 2011 (2009 SOL)
Solve quadratic equations over the set of complex numbers, algebraically and graphically
 Solve quadratic equations by factoring, quadratic formula, completing the square,
and graphing calculator
 Calculate the discriminant of a quadratic equation to determine the number of real
and complex solutions
 Apply an appropriate equation to solve a real-world problem
 Predict the number of solutions to a nonlinear system of two equations
 Solve a linear-quadratic and a quadratic-quadratic system of two equations
algebraically and graphically
 Recognize graphs of parent functions (quadratics)
 Given a transformation of a parent function, identify the graph of the transformed
function
 Given the equation and using a transformational approach, graph a function
 Given the graph of a function, identify the parent function and identify the
transformations that map the preimage to the image in order to determine the
equation of the image
 Using a transformational approach, write the equation of a function given its graph
 Identify the domain, range, zeros, and intercepts of a quadratic presented
algebraically and graphically
 Given the graph of a quadratic, identify intervals on which the function is
increasing and decreasing
 Describe domains and ranges
 Describe relationships among solutions of an equation, zeros of a function, xintercepts of a graph, and factors of a polynomial expression
Formative/Summative
Assessments
(Tests, Projects, etc.)
West Point Public School
Curriculum Map
Algebra II
STRAND/
TOPICS
SOL/
Objective
Essential Skills/Concepts
#(s)
(Organizing
Concepts)
AII.9
Statistics
Revised: Sept. 1, 2011 (2009 SOL)
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Collect and analyze data
Find an equation for the curve of best fit for data, using a graphing calculator
Make predictions, using data, scatterplots, or the equation of the curve of best fit
Given a set of data, determine the model that would best describe the data
Formative/Summative
Assessments
(Tests, Projects, etc.)
Instructional Resources
West Point Public School
Curriculum Map
Algebra II
3rd QUARTER
STRAND/
TOPIC
(Organizing
Concepts)
Expressions
and
Operations
Equations
and
Inequalities
SOL/
Objective
Essential Skills/Concepts
#(s)
AII.4d
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Solve an equation containing a radical expression algebraically and graphically
Verify possible solutions to an equation containing radical expressions
AII.6
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Recognize graphs of parent functions (polynomial, square root, cube root,
rational)
Given a transformation of a parent function, identify the graph of the transformed
function
Given the equation and using a transformational approach, graph a function
Given the graph of a function, identify the parent function and identify the
transformations that map the preimage to the image in order to determine the
equation of the image
Using a transformational approach, write the equation of a function given its graph
Identify domain, range, zeros, and intercepts of a function presented algebraically
or graphically
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
Functions
AII.7a,b,c,
d,e,f,g,h
Revised: Sept. 1, 2011 (2009 SOL)
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Formative/Summative
Assessments
(Tests, Projects, etc.)
Quizzes and tests when
appropriate
Vocabulary quizzes
27-week test
West Point Public School
Curriculum Map
Algebra II
STRAND/
TOPIC
(Organizing
Concepts)
SOL/
Objective
Essential Skills/Concepts
#(s)


AII.8
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AII.9
Statistics
Revised: Sept. 1, 2011 (2009 SOL)
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Describe restricted/discontinuous domains and ranges
Given the graph of a function, identify intervals on which the function is increasing
and decreasing
Find the equations of vertical and horizontal asymptotes of functions
Describe the end behavior of a function
Find the inverse of a function
Graph the inverse of a function as a reflection across the line y = x
Find the composition of two functions
Use composition of functions to verify two functions are inverses
Describe the relationships among solutions of an equation, zeros of a function, xintercepts of a graph, and factors of a polynomial expression
Define a polynomial function, given its zeros
Determine a factored form of a polynomial expression from the x-intercepts of the
graph of its corresponding function
For a function, identify zeros of multiplicity greater than 1 and describe the effect
of those zeros on the graph of the function
Given a polynomial equation, determine the number of real solutions and nonreal
solutions
Convert between logarithmic and exponential forms of an equation (bases are
natural numbers
Investigate exponential and logarithmic functions using the graphing calculator
Collect and analyze data (polynomial functions)
Find an equation for the curve of best fit for data, using a graphing calculator
Make predictions, using data, scatterplots, or the equation of the curve of best fit
Given a set of data, determine the model that would best describe the data
Formative/Summative
Assessments
(Tests, Projects, etc.)
Instructional Resources
West Point Public School
Curriculum Map
Algebra II
4th QUARTER
STRAND/
TOPIC
(Organizing
Concepts)
Expressions
and
Operations
Equations
and
Inequalities
SOL/
Objective
#(s)
AII.4c
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
AII.2
Functions
Essential Skills/Concepts
AII.6
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

Revised: Sept. 1, 2011 (2009 SOL)
Solve equations containing rational algebraic expressions with monomial or
binomial denominators algebraically and graphically
Verify possible solutions to an equation containing rational expressions
Distinguish between a sequence and a series
Generalize patterns in a sequence using explicit and recursive formulas
Use and interpret the notations ∑, n, nth term, and a
Given the formula, find a (the nth term) for an arithmetic or a geometric sequence
Give formulas, write the first n terms and find the sum, S , of the first n terms of
an arithmetic or geometric series
Given the formula, find the sum of a convergent infinite series
Model real-world situations using sequences and series
Recognize graphs of parent functions (rational, exponential, and logarithmic
functions)
Given a transformation of a parent function, identify the graph of the transformed
function
Given the equation and using a transformational approach, graph a function
Given the graph of a function, identify the parent function and identify the
transformations that map the preimage to the image in order to determine the
equation of the image
Using a transformational approach, write the equation of a function given its graph
Formative/Summative
Assessments
(Tests, Projects, etc.)
Quizzes and tests when
appropriate
Vocabulary quizzes
End-of-course SOL
Exam
Number puzzle project
West Point Public School
Curriculum Map
Algebra II
STRAND/
TOPIC
(Organizing
Concepts)
SOL/
Objective
Essential Skills/Concepts
#(s)
AII.9
AII.10
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AII.11
Statistics
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AII.12
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
Revised: Sept. 1, 2011 (2009 SOL)
Collect and analyze data (exponential and logarithmic functions)
Find an equation for the curve of best fit for data, using a graphing calculator
Make predictions, using data, scatterplots, or the equation of the curve of best fit
Given a set of data, determine the model that would best describe the data
Translate “y varies jointly as x and z” as y = kxz
Translate “y is directly proportional to x” as y = kx
Translate “y is inversely proportional to x” as y = k
x
Given a situation, determine the value of the constant of proportionality
Set up and solve problems, including real-world problems, involving inverse
variation, joint variation, and a combination of direct and inverse variations
Identify the properties of a normal probability distribution
Describe how the standard deviation and the mean affect the graph of the normal
distribution
Compare two sets of normally distributed data using a standard normal
distribution and z-scores
Represent probability as area under the curve of a standard normal probability
distribution
Use the graphing calculator or a standard normal probability table to determine
probabilities or percentiles based on z-scores
Compare and contrast permutations and combinations
Calculate the number of permutations and combinations of n objects taken r at a
time
Use permutations and combinations as counting techniques to solve real-world
problems
Formative/Summative
Assessments
(Tests, Projects, etc.)

Instructional
Resources
West Point Public School
Curriculum Map
Algebra II
STRAND/
TOPIC
(Organizing
Concepts)
SOL/
Objective
#(s)
Revised: Sept. 1, 2011 (2009 SOL)
Essential Skills/Concepts
Formative/Summative
Assessments
(Tests, Projects, etc.)