
Teach=
er: CORE
ALGEBRA II 
Updat=
ed 2014 
=
; 
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; 
<=
/td>
 =
; 
=
; 

Cours=
e: ALGEBRA
II 
Month=
:
All Months 













S 
Funct=
ions ~ 
Linea=
r 





e 
Essen=
tial
Questions 
Conte=
nt 
Skill=
s 
Asses=
sments 
Lessons=

Learn=
ing
Benchmarks 
Stand=
ards 
p 
How c=
an algebra
skills be applied in solving real world problems? 
Relat=
ions and
Functions 
Graph=
relations 
Quizz=
es 

Students
will know and be able to recognize, solve, and apply linear equations over
the set of real numbers. 
M.1112.P.11Patterns,
Relations and Algebra ~ Solve everyday problems that can be modeled using
polynomial, rational, exponential, logarithmic, trigonometric, and step
functions, absolute values, and square roots. Apply appropriate graphical,
tabular, or symbolic methods to the solution. Include growth and decay; j=
oint
(e.g., I =3D Prt, y =3D k(w1 + w2)) and combined (F =3D G(m1m2)/d2) varia=
tion, and
periodic processes. 
t 
=
; 
=
; 
Ident=
ify
functions 
Chapt=
er Test 
e 
=
; 
=
; 
Graph=
linear
equations 
=
; 
m 
Am I =
able to
perform operations on real numbers? 
Linear
Equations 
Write=
equations
of lines 
Homew=
ork 
b 
=
; 
=
; 
Write=
, solve,
and interpret Direct Variation equations 
=
; 
e 
=
; 
=
; 
Write=
linear
equations that model realworld data 
=
; 
r 
How c=
an
technology be used to support and extend the skills gained in Algebra?
 =
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Make
predictions from linear models 
=
; 

Am I =
able to
recognize, graph, solve, and interpret linear relations and functions?&nb=
sp; 
Direct
Variation (DV) 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
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; 
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; 

=
; 
Linea=
r Models 
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; 
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; 

=
; 
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; 
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; 
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; 
O 
Funct=
ions ~ 
Absol=
ute Value
and Quadratic 





c 
Essen=
tial
Questions 
Conte=
nt 
Skill=
s 
Asses=
sments 
Lessons=

Learn=
ing
Benchmarks 
Stand=
ards 
t 
How c=
an algebra
skills be applied in solving real world problems? 
Absol=
ute Value
Functions and Graphs 
Graph=
Absolute
Value Functions 
Quizz=
es 

Students
will know and be able to recognize, solve, and apply Absolute Value and
Quadratic equations over the set of real numbers. 
M.11=
12.P.11Patterns,
Relations and Algebra ~ Solve everyday problems that can be modeled using
polynomial, rational, exponential, logarithmic, trigonometric, and step
functions, absolute values, and square roots. Apply appropriate graphical,
tabular, or symbolic methods to the solution. Include growth and decay; j=
oint
(e.g., I =3D Prt, y =3D k(w1 + w2)) and combined (F =3D G(m1m2)/d2) varia=
tion, and
periodic processes. 
o 
=
; 
=
; 
=
; 
Chapt=
er
Test 
M.11=
12.P.13Patterns,
Relations and Algebra ~ Describe the translations and scale changes of a
given function Ć’(x) resulting from substitutions for the various paramet=
ers
a, b, c, and d in y =3D aĆ’(b(x + c/b)) + d. In particular, describe the =
effect
of such changes on polynomial, rational, exponential, logarithmic, and
trigonometric functions. 
b 
=
; 
=
; 
=
; 
Homew=
ork 
=
; 
e 
Am I =
able to
perform operations on real numbers? 
Verti=
cal and
Horizontal Translations of Absolute Value Functions 
Analy=
ze
vertical and horizontal translations of absolute value functions 
=
; 
=
; 
r 
=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

How c=
an
technology be used to support and extend the skills gained in Algebra?
 =
; 
Solve=
and graph
both linear and absolute value (twovariable) inequalities 
=
; 
=
; 

=
; 
TwoV=
ariable
Inequalities (as time permits) 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

Am I =
able to
recognize, graph, solve, and interpret absolute value and quadratic
functions? 
=
; 
Ident=
ify
quadratic functions and graphs 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
Data =
with
Quadratic Functions 
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; 
=
; 
=
; 

=
; 
=
; 
Model=
data with
quadratic functions 
=
; 
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; 

=
; 
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; 
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; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Evalu=
ate
quadratic functions for a given domain. 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Graph=
quadratic
functions from standard form and vertex form; identify the vertex, descri=
be
the vertex as a maximum or minimum, identify the axis of symmetry. 
=
; 
=
; 

=
; 
=
; 
Find =
minimum
and maximum values of quadratic functions 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
Prope=
rties of
Parabolas 
=
; 
=
; 
=
; 

=
; 
=
; 
Ident=
ify parent
functions of absolute value and quadratic functions 
=
; 
=
; 

=
; 
Stand=
ard form
and vertex form of quadratic functions 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Analy=
ze
vertical, horizontal, and diagonal translations of quadratic functions
 =
; 
=
; 

=
; 
=
; 
Write=
an
equation for the translation of a quadratic function. 
=
; 
=
; 
N 
Quadr=
atics ~ 
Solvi=
ng(factoring,
square roots method and graphing) 





o 
Essen=
tial
Questions 
Conte=
nt 
Skill=
s 
Asses=
sments 
Lessons=

Learn=
ing
Benchmarks 
Stand=
ards 
v 
Am I =
able to
perform operations on real numbers? 
Quadr=
atic
Expressions 
Find =
common
monomial and binomial factors of quadratic expressions 
Quizz=
es 

Students
will know and be able to factor and solve quadratic equations. 
M.11=
12.N.02Number
Sense and Operations ~ Simplify numerical expressions with powers and roo=
ts,
including fractional and negative exponents. 
e 
=
; 
=
; 
Facto=
r special
quadratic expressions 
Chapt=
er
Test 
M.11=
12.P.07Patterns,
Relations and Algebra ~ Find solutions to quadratic equations (with real
coefficients and real or complex roots) and apply to the solutions of
problems. 
m 
=
; 
=
; 
=
; 
Homew=
ork 
M.11=
12.P.08Patterns,
Relations and Algebra ~ Solve a variety of equations and inequalities usi=
ng
algebraic, graphical, and numerical methods, including the quadratic form=
ula;
use technology where appropriate. Include polynomial, exponential, logari=
thmic,
and trigonometric functions; expressions involving absolute values;
trigonometric relations; and simple rational expressions. 
b 
How c=
an
technology be used to support and extend the skills gained in Algebra?
 =
; 
=
; 
=
; 
=
; 
e 
=
; 
=
; 
Simpl=
ify square
roots and radical expressions 
=
; 
=
; 
r 
=
; 
=
; 
=
; 
=
; 
=
; 

Am I =
able to
recognize, solve, and interpret quadratic functions? 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Solve=
Quadratic
Equations by factoring, finding square roots, and graphing. 
=
; 
=
; 

=
; 
Squar=
e Roots
and Radicals expressions(Review) 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
Quadr=
atic
Equations 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 
D 
Quadr=
atics ~ 
Compl=
ex Numbers
and Solving(Completing the Square and Quadratic Formula) 





e 
Essen=
tial
Questions 
Conte=
nt 
Skill=
s 
Asses=
sments 
Lessons=

Learn=
ing
Benchmarks 
Stand=
ards 
c 
Am I =
able to
perform operations on real and complex numbers? 
Compl=
ex Numbers 
Ident=
ify
complex numbers 
Quizz=
es 

Students
will know and be able to identify and perform operations on complex numbe=
rs
as well as solve quadratic equations. 
M.11=
12.N.01Number
Sense and Operations ~ Define complex numbers (e.g., a + bi) and operatio=
ns
on them, in particular, addition, subtraction, multiplication, and divisi=
on.
Relate the system of complex numbers to the systems of real and rational
numbers. 
e 
=
; 
=
; 
=
; 
Chapt=
er
Test 
M.11=
12.P.07Patterns,
Relations and Algebra ~ Find solutions to quadratic equations (with real
coefficients and real or complex roots) and apply to the solutions of
problems. 
m 
=
; 
=
; 
=
; 
Homew=
ork 
M.11=
12.P.08Patterns,
Relations and Algebra ~ Solve a variety of equations and inequalities usi=
ng
algebraic, graphical, and numerical methods, including the quadratic form=
ula;
use technology where appropriate. Include polynomial, exponential, logari=
thmic,
and trigonometric functions; expressions involving absolute values;
trigonometric relations; and simple rational expressions. 
b 
How c=
an
technology be used to support and extend the skills gained in Algebra?
 =
; 
Add, =
subtract,
and multiply complex numbers 
=
; 
=
; 
e 
=
; 
=
; 
=
; 
=
; 
=
; 
r 
=
; 
=
; 
=
; 
=
; 
=
; 

Am I =
able to
recognize, graph, solve, and interpret quadratic functions? 
=
; 
Solve=
quadratic
equations by completing the square 
=
; 
=
; 

=
; 
Compl=
eting the
Square 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Solve=
quadratic
equations by using the Quadratic Formula 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
The Q=
uadratic
Formula 
Deter=
mine types
and number of solutions for a quadratic equation by using the discriminan=
t 
=
; 
=
; 

=
; 
=
; 
Write=
quadratic
equations in standard and vertex form 
=
; 
=
; 

=
; 
The
discriminant 
=
; 
=
; 
=
; 
J 
Polyn=
omial
Functions 






a 
Essen=
tial
Questions 
Conte=
nt 
Skill=
s 
Asses=
sments 
Lessons=

Learn=
ing
Benchmarks 
Stand=
ards 
n 
Am I =
able to
perform operations on real numbers? 
Polyn=
omial
Functions 
Write
polynomials in standard form 
Quizz=
es 

Students
will know and be able to recognize, solve, and perform basic operations on
polynomial functions. 
M.11=
12.P.08Patterns,
Relations and Algebra ~ Solve a variety of equations and inequalities usi=
ng
algebraic, graphical, and numerical methods, including the quadratic form=
ula;
use technology where appropriate. Include polynomial, exponential, logari=
thmic,
and trigonometric functions; expressions involving absolute values;
trigonometric relations; and simple rational expressions. 
u 
=
; 
=
; 
=
; 
Chapt=
er
Test 
M.11=
12.P.11Patterns,
Relations and Algebra ~ Solve everyday problems that can be modeled using
polynomial, rational, exponential, logarithmic, trigonometric, and step
functions, absolute values, and square roots. Apply appropriate graphical,
tabular, or symbolic methods to the solution. Include growth and decay; j=
oint
(e.g., I =3D Prt, y =3D k(w1 + w2)) and combined (F =3D G(m1m2)/d2) varia=
tion, and
periodic processes. 
a 
=
; 
=
; 
=
; 
Homew=
ork 
=
; 
r 
How c=
an
technology be used to support and extend the skills gained in Algebra?
 =
; 
Class=
ify
polynomials by degree and number of terms 
=
; 
=
; 
y 
=
; 
=
; 
Combi=
ne like
terms 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

Am I =
able to
recognize, graph, solve, and interpret a variety of relations and functio=
ns? 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Analy=
ze the
factored form of a polynomial function to identify the roots of the
function. Relate the graph of a quadratic function to the roots of =
the
related quadratic equation. 
=
; 
=
; 

=
; 
=
; 
Write=
a
polynomial function from its zeros 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
Polyn=
omials and
Linear Factors 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 
F 
Polyn=
omial
Equations ~ 
Solvi=
ng 





e 
Essen=
tial
Questions 
Conte=
nt 
Skill=
s 
Asses=
sments 
Lessons=

Learn=
ing
Benchmarks 
Stand=
ards 
b 
Am I =
able to
perform operations on real numbers? 
Long =
Division
and Synthetic Division of Polynomials 
Divide
polynomials using long division and synthetic division 
Quizz=
es 

Students
will know and be able to solve polynomial equations. 
M.1112.P.08Patterns,
Relations and Algebra ~ Solve a variety of equations and inequalities usi=
ng
algebraic, graphical, and numerical methods, including the quadratic form=
ula;
use technology where appropriate. Include polynomial, exponential, logari=
thmic,
and trigonometric functions; expressions involving absolute values;
trigonometric relations; and simple rational expressions. 
r 
=
; 
=
; 
=
; 
Chapt=
er
Test 
u 
=
; 
=
; 
=
; 
Homew=
ork 
a 
How c=
an
technology be used to support and extend the skills gained in Algebra?
 =
; 
Solve
polynomial equations by graphing and factoring 
=
; 
r 
=
; 
=
; 
=
; 
=
; 
y 
Am I =
able to
recognize, graph, solve, and interpret a variety of relations and
functions? 
Polyn=
omial
Equations 
=
; 
=
; 

=
; 
=
; 
Solve=
equations
using the sum and difference of two perfect cubes 
=
; 

=
; 
=
; 
Solve=
4th
Degree equations using factoring, zero product property, and the quadratic
formula. 
=
; 

=
; 
=
; 
=
; 
=
; 
M 
Expon=
ents and
Radicals 






a 
Essen=
tial
Questions 
Conte=
nt 
Skill=
s 
Asses=
sments 
Lessons=

Learn=
ing
Benchmarks 
Stand=
ards 
r 
Am I =
able to
perform operations on real numbers? 
Prope=
rties of
Exponents (Review) 
Simpl=
ify
expressions using the seven laws of exponents (including Zero and Negative
Exponents) 
Quizz=
es 

Students
will know and be able to recognize and perform basic operations on expone=
nts
and radicals. 
M.1112.N.02Number
Sense and Operations ~ Simplify numerical expressions with powers and roo=
ts,
including fractional and negative exponents. 
c 
=
; 
=
; 
=
; 
Chapt=
er Test 
h 
=
; 
=
; 
=
; 
Homew=
ork 

How c=
an
technology be used to support and extend the skills gained in Algebra?
 =
; 
Simpl=
ify
Quotients of Monomials 
=
; 

=
; 
=
; 
Simpl=
ify nth
roots 
=
; 

=
; 
=
; 
Add, =
subtract,
multiply and divide radical expressions 
=
; 

=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Add, =
Subtract,
multiply, and divide binomial radical expressions 
=
; 

=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Ratio=
nalize
Radical Denominators 
=
; 

=
; 
=
; 
=
; 
=
; 

=
; 
Roots=
and
Radical Expressions 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 

=
; 
Binom=
ial
Radical Expressions 
=
; 
=
; 
A 
Radic=
al
Equations and Rational Exponents 






p 
Essen=
tial
Questions 
Conte=
nt 
Skill=
s 
Asses=
sments 
Lessons=

Learn=
ing
Benchmarks 
Stand=
ards 
r 
Am I =
able to
perform operations on real numbers? 
Ratio=
nal
Exponents 
Simpl=
ify
expressions with rational exponents 
Quizz=
es 

Students
will know and be able to recognize, simplify, and solve rational functions
and rational exponents. 
M.11=
12.N.02Number
Sense and Operations ~ Simplify numerical expressions with powers and roo=
ts,
including fractional and negative exponents. 
i 
=
; 
=
; 
=
; 
Chapt=
er Test 
M.11=
12.P.05Patterns,
Relations and Algebra ~ Perform operations on functions, including
composition. Find inverses of functions. 
l 
=
; 
=
; 
=
; 
Homew=
ork 
M.11=
12.P.08Patterns,
Relations and Algebra ~ Solve a variety of equations and inequalities usi=
ng
algebraic, graphical, and numerical methods, including the quadratic form=
ula;
use technology where appropriate. Include polynomial, exponential, logari=
thmic,
and trigonometric functions; expressions involving absolute values;
trigonometric relations; and simple rational expressions. 

How c=
an
technology be used to support and extend the skills gained in Algebra?
 =
; 
Solve=
radical
equations 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
Radic=
al
Equations 
=
; 
=
; 
=
; 

Am I =
able to
recognize, graph, solve, and interpret a variety of relations and functio=
ns? 
=
; 
Add, =
Subtract,
Multiply, and divide functions 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
Funct=
ion
Operations 
=
; 
=
; 
=
; 

=
; 
=
; 
Find =
the
composite of two functions 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 
M 
Expon=
ential and
Logarithmic Functions 






a 
Essen=
tial
Questions 
Conte=
nt 
Skill=
s 
Asses=
sments 
Lessons=

Learn=
ing
Benchmarks 
Stand=
ards 
y 
How c=
an algebra
skills be applied in solving real world problems? 
Inver=
se
Relations and Functions 
Find =
the
inverse of a relation or function 
Quizz=
es 

Students
will know and be able to recognize, solve, and apply exponential and
logarithmic functions. 
M.11=
12.P.04Patterns,
Relations and Algebra ~ Demonstrate an understanding of the trigonometric,
exponential, and logarithmic functions. 

=
; 
=
; 
=
; 
Chapt=
er
Test 
M.11=
12.P.05Patterns,
Relations and Algebra ~ Perform operations on functions, including
composition. Find inverses of functions. 

=
; 
=
; 
=
; 
Homew=
ork 
M.11=
12.P.06Patterns,
Relations and Algebra ~ Given algebraic, numeric and/or graphical
representations, recognize functions as polynomial, rational, logarithmic,
exponential, or trigonometric. 

Am I =
able to
perform operations on real numbers? 
=
; 
Graph=
Radical
Functions 
=
; 
M.11=
12.P.11Patterns,
Relations and Algebra ~ Solve everyday problems that can be modeled using
polynomial, rational, exponential, logarithmic, trigonometric, and step
functions, absolute values, and square roots. Apply appropriate graphical,
tabular, or symbolic methods to the solution. Include growth and decay; j=
oint
(e.g., I =3D Prt, y =3D k(w1 + w2)) and combined (F =3D G(m1m2)/d2) varia=
tion, and
periodic processes. 

=
; 
Radic=
al
Functions 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

How c=
an
technology be used to support and extend the skills gained in Algebra?
 =
; 
Model=
and solve
problems using exponential growth and decay 
=
; 
=
; 

=
; 
Expon=
ential
Models 
Write=
and
evaluate logarithmic expressions 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

Am I =
able to
recognize, graph, solve, and interpret a variety of relations and functio=
ns? 
=
; 
=
; 
=
; 
=
; 

=
; 
Logar=
ithmic
Functions as Inverses 
Use (=
and
identify) the three properties of logarithms (product, quotient, and powe=
r)
to expand and simplify logarithmic expressions. 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
Prope=
rties of
Logarithms 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 
J 
Ratio=
nal
Functions 






u 
Essen=
tial
Questions 
Conte=
nt 
Skill=
s 
Asses=
sments 
Lessons=

Learn=
ing
Benchmarks 
Stand=
ards 
n 
Am I =
able to
perform operations on real numbers? 
Expon=
ential and
Logarithmic Equations 
Solve
exponential and logarithmic equations 
Quizz=
es 

Students
will know and be able to recognize, solve, and apply exponential and
logarithmic functions. 
M.11=
12.P.04Patterns,
Relations and Algebra ~ Demonstrate an understanding of the trigonometric,
exponential, and logarithmic functions. 
e 
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; 
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Chapt=
er
Test 
M.11=
12.P.06Patterns,
Relations and Algebra ~ Given algebraic, numeric and/or graphical
representations, recognize functions as polynomial, rational, logarithmic,
exponential, or trigonometric. 

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; 
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Homew=
ork 
M.11=
12.P.08Patterns,
Relations and Algebra ~ Solve a variety of equations and inequalities usi=
ng
algebraic, graphical, and numerical methods, including the quadratic form=
ula;
use technology where appropriate. Include polynomial, exponential, logari=
thmic,
and trigonometric functions; expressions involving absolute values;
trigonometric relations; and simple rational expressions. 

How c=
an
technology be used to support and extend the skills gained in Algebra?
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; 
Use C=
hange of
Base Formula 
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Am I =
able to
recognize, graph, solve, and interpret a variety of relations and functio=
ns? 
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; 
Evalu=
ate
logarithmic expressions 
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; 
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Simpl=
ify,
multiply, and divide rational expressions. 
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; 
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; 

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Ratio=
nal
Expressions 
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