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

Cours=
e: HON
ALGEBRA II 
Month=
:
All Months 













S 
Basic=
s of
Algebra 






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

Learn=
ing
Benchmarks 
Stand=
ards 
p 
Am I =
able to
perform operations on real numbers? 
Basic
operations on real numbers 
Add, =
subtract,
multiply and divide real numbers. 
Chapt=
er One 

Students
will know and be able to recognize,solve and apply linear equations over =
the
set of real numbers. 
M.11=
12.N.02Number
Sense and Operations ~ Simplify numerical expressions with powers and roo=
ts,
including fractional and negative exponents. 
t 
Am I =
able to
solve linear and quadratic equations, and linear inequalities? 
Prope=
rties of
algebra 
Solve=
linear
equations and word problems using linear eqs. 
=
; 
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. 
e 
Am I =
able to
use linear equations to solve real world problems? 
=
; 
Recog=
nize and
apply properties of algebra. 
Chap =
One 
=
; 
m 
=
; 
Basic
vocabulary and order of operations 
=
; 
=
; 
=
; 
b 
=
; 
=
; 
=
; 
=
; 
=
; 
e 
=
; 
Linear
equations and problems solved using linear equations. 
=
; 
=
; 
=
; 
r 
Inequ=
alities 







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

Learn=
ing
Benchmarks 
Stand=
ards 

Am I =
able to
solve linear inequalities? 
Simpl=
e linear
inequalities. 
Solve=
simple,
compound and absolute value inequalities. 
Inequ=
alities 

Students
will know and be able to recognize, solve and apply linear inequalities o=
ver
the set of real numbers. 
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. 

Am I =
able to
write and solve an inequality to solve a real world problem? 
Compo=
und
inequalities 
Expre=
ss the
solution set using set notation, interval notation and graphing. 
Chapt=
er
Two 
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. 

=
; 
Absol=
ute value
equations and inequalities 
Write=
and solve
inequalities to solve real world problems. 
Inequ=
alities 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
Inequ=
alites and
the graph of their solution sets. 
=
; 
=
; 
=
; 

Facto=
ring 







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

Learn=
ing
Benchmarks 
Stand=
ards 

Am I
able to factor to solve equations and real world problems? 
Basic
operations on polynomials. 
Add a=
nd
subtract polynomials, 
Polyn=
omials 

Students
will know and be able to perform basic operations on, and factor, polynom=
ials
and will be able to apply factoring to solve polynomial equations and
problems involving polynomial equations. 
M.11=
12.N.02Number
Sense and Operations ~ Simplify numerical expressions with powers and roo=
ts,
including fractional and negative exponents. 

=
; 
organ=
ize terms
in increasing/decreasing order, 
Facto=
ring 
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. 

Polyn=
omial
Equations 
multi=
ply by a
monomial, multiply by a binomial, square and cube binomials, multiply
polynomials, 
Chapt=
er
four 
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. 

Solve=
equations
and problems by factoring. 
divide
polynomials by a monomial 
Facto=
ring 
=
; 

=
; 
laws =
of
exponents 
Polyn=
omials 
=
; 

=
; 
prime
factorization, integral factors, GCF and LCM 
Polyn=
omial
equations and problem solving
 =
; 

=
; 
facto=
r 
difference of perfect squares, perfect cubes, trinomials, grouping (2+2, =
3+1) 
=
; 
=
; 

=
; 
solve=
equations
and problems by factoring 
=
; 
=
; 

=
; 
Apply=
the zero
product property to solve equations. 
=
; 
=
; 

=
; 
revie=
w concept
of roots/solutions/zeros, double and triple roots. 
=
; 
=
; 
O 
Ratio=
nal
Expressions 






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

Learn=
ing
Benchmarks 
Stand=
ards 
t 
Am I =
able to
perform basic operations on rational expressions? 
Quoti=
ent of
monomials 
Simpl=
ify
rational expressions and complex fractions 
Div of
monomial, zero and neg exponents and scientific notation 

Students
will know and be able to perform basic operations with rational expressio=
ns
and will be able to solve fractional equations and equations with rational
coefficients. 
M.11=
12.N.02Number
Sense and Operations ~ Simplify numerical expressions with powers and roo=
ts,
including fractional and negative exponents. 
o 
Am I =
able to
solve equations with rational coefficients and fractional equations? 
Zero =
and
negative exponents 
Multi=
ply and
divide rational expressions 
Chapt=
er Five 
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 
Am I =
able to
solve problems that involve fractions? 
Scien=
tific
notation 
Add/s=
ubtract
rational expressions with like/unlike denominators 
Ratio=
nal
Expressions 
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. 
e 
Am I =
able to
discern the difference between a rational expression and a fractional
equation? 
Ratio=
nal
expressions and complex fractions 
Solve=
equations
with rational coefficients 
=
; 
=
; 
r 
=
; 
Expre=
ssions
with like and unlike denominators 
Solve
fractional equations 
=
; 
=
; 

=
; 
Equat=
ions with
rational coefficients 
Devel=
op concept
of restricted values of a variable 
=
; 
=
; 

=
; 
Fract=
ional
equations 
Solve=
real
world problems involving fractions. 
=
; 
=
; 

=
; 
Conce=
pt of
restricted value of the variable 
=
; 
=
; 
=
; 

=
; 
Real =
world
problems involving fractional equations. 
=
; 
=
; 
=
; 
N 
Radic=
als 






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

Learn=
ing
Benchmarks 
Stand=
ards 
v 
Am I =
able to
simplify radicals? 
Radic=
als 
Ident=
ify
vocabulary. 
Radic=
als 

Students
will know and be able to simplify radicals, perform basic operations on
radicals and solve radical equations. 
M.11=
12.N.02Number
Sense and Operations ~ Simplify numerical expressions with powers and roo=
ts,
including fractional and negative exponents. 
e 
Can I=
perform
basic operations with radicals? 
Radic=
al
equations 
=
; 
Radic=
als 
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. 
m 
Can I=
solve
radical equations and equations with radical coefficients and recognize t=
he
difference? 
Vocab=
ulary:
index, radical, radicand, principal square root, radical equation, extran=
eous
root 
Simpl=
y radicals
(including rationalizing denominators and multiplying by the conjugate.)<=
/td>
 Radic=
als 
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. 
b 
=
; 
=
; 
=
; 
=
; 
=
; 
e 
=
; 
=
; 
Perfo=
rm basic
operations on radicals. 
=
; 
=
; 
r 
=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Solve=
radical
equations and equations with radicals. 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 
D 
Compl=
ex and
Imaginary Numbers 






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

Learn=
ing
Benchmarks 
Stand=
ards 
c 
Am I
able to perform operations on complex and imaginary numbers? 
Imagi=
nary and
complex numbers. 
Diffe=
rentiate
between rational and irrational numbers. 
Compl=
ex numbers 

Students
will be able to recognize, simplify and operate with rational, irrational=
and
complex numbers, and will be able to solve equations with complex roots.<=
/td>
 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 
Ratio=
nal and
Irrational Numbers. 
Conve=
rt
fractions to decimals and reverse. 
=
; 
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 
=
; 
Write
irrational numbers. 
Compl=
ex
Numbers 
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 
=
; 
Simpl=
ify
imaginary numbers 
=
; 
=
; 
e 
=
; 
Perfo=
rm basic
operations on imaginary and complex numbers 
=
; 
=
; 
r 
=
; 
Solve=
equations
that have complex and imaginary roots. 
=
; 
=
; 
J 
Funct=
ions 






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

Learn=
ing
Benchmarks 
Stand=
ards 
n 
Am I =
able to
recognize, graph, solve and interpret a variety of relations and function=
s? 
Funct=
ions 
Revie=
w linear
equations: graphs, slope, parallel, perpendicular, coinciding lines, and
writing equations 
Funct=
ions 

Students
will know and be able to write and graph linear functions, solve systems =
of
linear equations and perform basic operations with linear functions. 
M.09=
10.P.02Patterns,
Relations and Algebra ~ Demonstrate an understanding of the relationship
between various representations of a line. Determine a line's slope and x
and yintercepts from its graph or from a linear equation that represents=
the
line. Find a linear equation describing a line from a graph or a geometric
description of the line, e.g., by using the â€śpointslopeâ€ť or â€śslope
yinterceptâ€ť formulas. Explain the significance of a positive, negative,
zero, or undefined slope. 
u 
=
; 
Relat=
ions 
Revie=
w systems
of linear equations and inequalities; solve by graphing, substitution and
elimination 
Funct=
ions 
M.09=
10.P.07Patterns,
Relations and Algebra ~ Solve everyday problems that can be modeled using
linear, reciprocal, quadratic, or exponential functions. Apply appropriate
tabular, graphical, or symbolic methods to the solution. Include compound
interest, and direct and inverse variation problems. Use technology when
appropriate. 
a 
Am I =
able to
solve real world problems by writing and solving a function? 
Linear
Equations and Functions 
Use s=
ystem of
linear equations to solve real world problems. 
=
; 
M.09=
10.P.08Patterns,
Relations and Algebra ~ Solve everyday problems that can be modeled using
systems of linear equations or inequalities. Apply algebraic and graphical
methods to the solution. Use technology when appropriate. Include mixture,
rate, and work problems. 
r 
Can t=
echnology
be used to support and extend the skills learned in Algebra? 
=
; 
Evalu=
ate
functions 
=
; 
M.11=
12.P.10Patterns,
Relations and Algebra ~ Use symbolic, numeric, and graphical methods to s=
olve
systems of equations and/or inequalities involving algebraic, exponential,
and logarithmic expressions. Also use technology where appropriate. Descr=
ibe
the relationships among the methods. 
y 
=
; 
Syste=
ms of
Linear Equations 
Write=
equations
for linear functions 
=
; 
=
; 

=
; 
=
; 
Ident=
ify and
apply vocabulary. 
=
; 
=
; 

=
; 
Vocab=
ulary:
domain, range, function, relation, slope, zeros of the function, constant
function. 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 
F 
Funct=
ions 






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

Learn=
ing
Benchmarks 
Stand=
ards 
b 
Am I =
able to
solve equations with rational exponents? 
Ratio=
nal
exponents 
Simpl=
ify
expressions with rational and real number exponents 
Ratio=
nal and
real number exponential functions 

Students
will know and be able to differentiate and graph functions and relations,
find inverse and composite functions, solve equations with rational
exponents, 
M.11=
12.N.02Number
Sense and Operations ~ Simplify numerical expressions with powers and roo=
ts,
including fractional and negative exponents. 
r 
Am I =
able to
recognize, graph, solve and interpret a variety of relations and
functions? 
Real =
number
exponents 
Conve=
rt
expressions from radical to exponential form and reverse. 
Ratio=
nal and
real number exponents 
M.11=
12.P.04Patterns,
Relations and Algebra ~ Demonstrate an understanding of the trigonometric,
exponential, and logarithmic functions. 
u 
=
; 
Compo=
site and
inverse functions 
Solve=
equations
involving real number and rational exponents. 
Funct=
ions 
M.11=
12.P.05Patterns,
Relations and Algebra ~ Perform operations on functions, including
composition. Find inverses of functions. 
a 
=
; 
=
; 
Find a
composite of two or more functions. 
Funct=
ions 
M.11=
12.P.06Patterns,
Relations and Algebra ~ Given algebraic, numeric and/or graphical
representations, recognize functions as polynomial, rational, logarithmic,
exponential, or trigonometric. 
r 
=
; 
=
; 
Find =
the
inverse of a given function. 
=
; 
M.11=
12.P.10Patterns,
Relations and Algebra ~ Use symbolic, numeric, and graphical methods to s=
olve
systems of equations and/or inequalities involving algebraic, exponential,
and logarithmic expressions. Also use technology where appropriate. Descr=
ibe
the relationships among the methods. 
y 
=
; 
=
; 
Find =
the domain
and range of a function and of its inverse. 
=
; 
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. 

=
; 
=
; 
Use t=
he
horizontal and vertical line test. 
=
; 
=
; 

=
; 
=
; 
Graph=
and
compare a function and its inverse on the same coordinate axes. 
=
; 
=
; 
M 
Logar=
ithms 






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

Learn=
ing
Benchmarks 
Stand=
ards 
r 
Am I =
able to
use logarithms to solve real world problems? 
Prope=
rties of
Logarithms 
Define
logarithms. 
Logar=
ithms 

Students
will know and be able to define, simplify, solve, graph and apply logarit=
hms. 
M.11=
12.P.04Patterns,
Relations and Algebra ~ Demonstrate an understanding of the trigonometric,
exponential, and logarithmic functions. 
c 
Am I =
able to
recognize, graph, solve, and interpret a a variety of relations and
functions. 
Logar=
ithmic
applications 
Apply=
the laws
of logarithms. 
Logar=
ithms 
M.11=
12.P.06Patterns,
Relations and Algebra ~ Given algebraic, numeric and/or graphical
representations, recognize functions as polynomial, rational, logarithmic,
exponential, or trigonometric. 
h 
=
; 
Logar=
ithmic
Equations 
Simpl=
ify
logarithmic expressions. 
Logar=
ithms

M.11=
12.P.10Patterns,
Relations and Algebra ~ Use symbolic, numeric, and graphical methods to s=
olve
systems of equations and/or inequalities involving algebraic, exponential,
and logarithmic expressions. Also use technology where appropriate. Descr=
ibe
the relationships among the methods. 

How c=
an
technology be used to support and extend the skills learned in Algebra?
 =
; 
Solve
logarithmic equations. 
=
; 
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. 

=
; 
Natur=
al
Logarithms 
Conve=
rt from
log form to exponential form and reverse. 
=
; 
M.P.A=
2.08Algebra
II ~ Patterns, Relations, and Algebra ~ Solve a variety of equations and
inequalities using algebraic, graphical, and numerical methods, including=
the
quadratic formula; use technology where appropriate. Include polynomial,
exponential, and logarithmic functions; expressions involving the absolute
values; and simple rational expressions. (12.P.8) 

=
; 
=
; 
Use a
calculator to evaluate exponential and logarithmic expressions. 
=
; 
M.P.A=
2.10Algebra
II ~ Patterns, Relations, and Algebra ~ Use symbolic, numeric, and graphi=
cal
methods to solve systems of equations and/or inequalities involving
algebraic, exponential, and logarithmic expressions. Also use technology
where appropriate. Describe the relationships among the methods.
(12.P.10) 

=
; 
Irrat=
ional
Number "e" 
Simpl=
ify
natural logarithmic expressions 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Solve=
natural
logarithmic equations. 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

Quadr=
atic
equations 







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

Learn=
ing
Benchmarks 
Stand=
ards 

Am I =
able to
use factoring, completing the square and the quadratic formula to solve a
quadratic equation? 
Quadr=
atic
equations 
Solve=
quadratic
equations by completing the square 
Quadr=
atic
equations 


M.09=
10.P.05Patterns,
Relations and Algebra ~ Find solutions to quadratic equations (with real
roots) by factoring, completing the square, or using the quadratic formul=
a.
Demonstrate an understanding of the equivalence of the methods. 

How c=
an
technology be used to support and extend the skills learned in Algebra?
 The q=
uadratic
formula 
Deriv=
e and
apply the quadratic formula 
Quadr=
atic
equations 
M.09=
10.P.07Patterns,
Relations and Algebra ~ Solve everyday problems that can be modeled using
linear, reciprocal, quadratic, or exponential functions. Apply appropriate
tabular, graphical, or symbolic methods to the solution. Include compound
interest, and direct and inverse variation problems. Use technology when
appropriate. 

=
; 
=
; 
Solve=
equations
in quadratic form 
=
; 
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. 

=
; 
=
; 
Write=
equations
given the roots 
=
; 
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 
Polyn=
omial
equations 






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

Learn=
ing
Benchmarks 
Stand=
ards 
r 
Am I =
able to
solve equations of degree three and higher? 
Polyn=
omial
equations 
Revie=
w direct
variation and proportion. 
Polyn=
omial
equations 

Students
will know and be able to use theorems involving polynomials to solve
polynomial equations of degree three and beyond. 
M.P.A=
2.08Algebra
II ~ Patterns, Relations, and Algebra ~ Solve a variety of equations and
inequalities using algebraic, graphical, and numerical methods, including=
the
quadratic formula; use technology where appropriate. Include polynomial,
exponential, and logarithmic functions; expressions involving the absolute
values; and simple rational expressions. (12.P.8) 
i 
How c=
an
technology be used to support and extend the skills learned in Algebra?
 Propo=
rtions 
Solve=
real
world problems involving proportions. 
Polyn=
omial
division 
M.P.A=
2.11Algebra
II ~ Patterns, Relations, and Algebra ~ Solve everyday problems that can =
be
modeled using polynomial, rational, exponential, logarithmic, and step
functions, absolute values and square roots. Apply appropriate graphical,
tabular, or symbolic methods to the solution. Include growth and decay;
logistic growth; joint (e.g., I =3D Prt, y =3D k(w1 + w2)), and combined =
(F =3D
G(m1m2)/d2) variation. (12.P.11) 
l 
=
; 
=
; 
Divide
polynomials using both long and synthetic division 
Polyn=
omial
equations 
=
; 

=
; 
Long =
and
synthetic division. 
Ident=
ify and
employ the remainder, factor and rational root theorems to solve polynomi=
al
equations of higher degree. 
=
; 
=
; 

=
; 
=
; 
.&nbs=
p; 
=
; 
=
; 

=
; 
Remai=
nder,
Factor, and Rational Root Theorem 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 
M 
Circl=
es and
parabolas 






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

Learn=
ing
Benchmarks 
Stand=
ards 
y 
Am I =
able to
recognize the equation of a line, circle and parabola and then graph it?<=
/td>
 Circl=
es 
Devel=
op and
apply the distance formula. 
Circl=
es 

Students
will know and be able to recognize graphs and equations of parabolas and
circles, will be able to write equations for and graph parabolas and circ=
les
given pertinent information. 
M.11=
12.G.04Geometry
~ Relate geometric and algebraic representations of lines, simple curves,=
and
conic sections. 

Am I =
able to
use a graphing calculator to graph lines and parabolas? 
Parab=
olas 
Devel=
op and
apply the midpoint formula. 
Circl=
es and
parabolas 
M.11=
12.P.12Patterns,
Relations and Algebra ~ Relate the slope of a tangent line at a specific
point on a curve to the instantaneous rate of change. Identify maximum and
minimum values of functions in simple situations. Apply these concepts to=
the
solution of problems. 

=
; 
Dista=
nce
Formula 
Graph=
circles
by finding the center and radius from a given equation. 
Circl=
es and
parabolas 
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. 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Write=
the
equation of a circle given pertinent information. 
=
; 
=
; 

=
; 
=
; 
Graph
parabolas. 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Find =
the
vertex, equation for the axis of symmetry, x and yintercepts and the zer=
os
of parabolas. 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Ident=
ify the
direction of the parabola and its min/max value. 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Write=
equations
in quadratic form. 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Solve=
real
world max/min problems involving quadratic equations. 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
Write=
the
equation of a parabola given pertinent information. 
=
; 
=
; 

=
; 
=
; 
Graph=
and
analyze parabolas of the forms y =3Da(xh)2 + k and x =3D a(yk)2 + h&nbs=
p; 
=
; 
=
; 

Combi=
natorics 







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

Learn=
ing
Benchmarks 
Stand=
ards 

Am I =
able to
differentiate between a permutation and combination? 
Funda=
mental
Counting Principle 
Ident=
ify and
apply the Fundamental Counting Principle. 
Count=
ing 

Students
will know and be able to use and apply permutations and combinations and =
will
be able use probability to solve problems. 
M.1112.D.06Data
Analysis, Statistics, and Probability ~ Use combinatorics (e.g.,
â€śfundamental counting principle,â€ť permutations, and combinations) to
solve problems, in particular, to compute probabilities of compound event=
s.
Use technology as appropriate. 

Am I =
able to
find permutations and combinations? 
=
; 
Under=
stands
factorial notation and is able to evaluate expressions involving factoria=
l 
Count=
ing 

Am I =
able to
apply the Fundamental Counting Principle to solve problems? 
Count=
ing 
=
; 
Proba=
bility 

=
; 
=
; 
Find =
the number
of permutations of the elements of a set. 
Combi=
natorics 

=
; 
Proba=
bility 
Calcu=
late the
number of combinations of a set of elements with and without the combinat=
ion
formula. 
=
; 

=
; 
Combi=
natorics 
Speci=
fy sample
spaces and events for random experiments and find the probability that an
event will occur. 
=
; 

=
; 
=
; 
=
; 
=
; 
J 
Combi=
natorics 






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

Learn=
ing
Benchmarks 
Stand=
ards 
n 
Am I =
able to
determine probability of an event? 
Funda=
mental
Counting Principle 
Stude=
nts will
be able to: 
Proba=
bility and
Statistics 

Stude=
nts will
know and be able to find permutations and combinations for a set of eleme=
nts. 

e 
Am I =
able to
find permutations and combinations from a given set of elements? 
Permu=
tations 
appl=
y the fund
counting principle 
Proba=
bility 
=
; 

Can I=
explain
the difference between a permutation and a combination? 
Combi=
nations 
find=
the
number of permutations of the elements of a set 
Combi=
natorics 
=
; 

Am I =
able to
produce lists of possible outcomes for random experiments? 
Sampl=
e Spaces
and Events 
find=
the
combinations of a set of elements 
=
; 
Stude=
nts will
be able to interpret data by finding the mean, median, mode, and by creat=
ing
a box and whiskers plot of the data. 

Am I =
able to
display data and to measure the central tendency of data? 
=
; 
spec=
ify sample
spaces and events for random experiments 
=
; 
Stude=
nts will
be able to find the sample space and probability of an event. 

Am I =
able to
define mean, median, mode and range and give an example of data for which=
one
of these measures of central tendency is significantly different form the
other two? 
Proba=
bility 
find=
the
probability that an event will occupy, display data using frequency
distributions, histograms, and stemandleaf plots, and to compute measur=
es
of central tendency, and describe and compare distributions using these
statistics 
=
; 
=
; 

Am I =
able to
compare the data displayed in two or more stemandleaf plots? 
Stati=
stics 
=
; 
=
; 
=
; 

Am I =
able to
state and use the fundamental counting principle and give an example to
illustrate it? 
=
; 
=
; 
=
; 
=
; 







