
Teach=
er: CORE
Fundamental of Algebra&Geometry 
Updat=
ed 2014 
=
; 
=
; 
<=
/td>
 =
; 
=
; 

Cours=
e: MCAS
MATH 
Month=
:
All Months 













A 
numbe=
r sense 






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

Learn=
ing
Benchmarks 
Stand=
ards 
g 
Can I
independently apply the arithmetic concepts of real numbers, fractions,
decimals, percents, exponents and radicals. 
Revie=
wing order
of operation 
Will =
apply
"the order of operations, PEMDAS, to solve problems involving multip=
le
operations. 
Quiz<=
span
style=3D'msospacerun:yes'> 


M.09=
10.N.01Number
Sense and Operations ~ Identify and use the properties of operations on r=
eal
numbers, including the associative, commutative, and distributive propert=
ies;
the existence of the identity and inverse elements for addition and
multiplication; the existence of nthroots of positive real numbers for any
positive integer n; and the inverse relationship between taking the nth r=
oot
of and the nth power of a positive real number. 
u 
Can I
independently, recognize, interpret, and answer questions that require a
reasonable understanding of our number system on the MCAS exam? 
Revie=
wing real
numbers and their subsets 
Will =
verbally
identify rational and irrational numbers under a timed situation. 
Quiz<=
span
style=3D'msospacerun:yes'> 
M.09=
10.N.02Number
Sense and Operations ~ Simplify numerical expressions, including those
involving positive integer exponents or the absolute value, e.g., 3(24â€“=
1)
=3D 45, 43 â€“ 5 + 6 =3D 14; apply such simplifications in the solution=
of
problems. 
s 
=
; 
Numbe=
r lines
and absolute value 
Will =
place real
numbers on a number line 
Regen=
ts Prep
Website 
M.09=
10.N.03Number
Sense and Operations ~ Find the approximate value for solutions to proble=
ms
involving square roots and cube roots without the use of a calculator, e.=
g.,
Ă– 32  1 Â» 2.8. 
t 
=
; 
Appro=
ximately
values of rational and irrational numbers 
Will
approximate values of given rational and irrational numbers 
=
; 
=
; 
S 
numbe=
r sense 






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

Learn=
ing
Benchmarks 
Stand=
ards 
p 
Can I
independently apply the arithmetic concepts of real numbers, fractions,
decimals, percents, exponents and radicals. 
Revie=
wing order
of operation 
Will =
apply
"the order of operations, PEMDAS, to solve problems involving multip=
le
operations. 
Quiz<=
span
style=3D'msospacerun:yes'> 

Stude=
nts will
know and be able to: 
M.09=
10.N.01Number
Sense and Operations ~ Identify and use the properties of operations on r=
eal
numbers, including the associative, commutative, and distributive propert=
ies;
the existence of the identity and inverse elements for addition and
multiplication; the existence of nthroots of positive real numbers for any
positive integer n; and the inverse relationship between taking the nth r=
oot
of and the nth power of a positive real number. 
t 
Can I
independently, recognize, interpret, and answer questions that require a
reasonable understanding of our number system on a standardized exam? 
Revie=
wing real
numbers and their subsets 
Will =
verbally
identify rational and irrational numbers under a timed situation. 
Regen=
ts Prep
Website 
=
; 
M.09=
10.N.02Number
Sense and Operations ~ Simplify numerical expressions, including those
involving positive integer exponents or the absolute value, e.g., 3(24â€“=
1)
=3D 45, 43 â€“ 5 + 6 =3D 14; apply such simplifications in the solution=
of
problems. 
e 
Can I=
decide
whether a specific problem calls for a rough estimation, an approximation=
, or
an exact answer? 
Numbe=
r lines
and absolute value 
Will =
place real
numbers on a number line 
=
; 
*appl=
y order of
operation to solve a problem 
M.09=
10.N.03Number
Sense and Operations ~ Find the approximate value for solutions to proble=
ms
involving square roots and cube roots without the use of a calculator, e.=
g.,
Ă– 32  1 Â» 2.8. 
m 
=
; 
Appro=
ximately
values of rational and irrational numbers 
Will
approximate values of given rational and irrational numbers 
=
; 
*defi=
ne
rational and irrational numbers 
=
; 
b 
=
; 
=
; 
=
; 
=
; 
*stat=
e the
approximate value of an irrational number 
=
; 
e 
=
; 
=
; 
=
; 
=
; 
*unde=
rstand the
values on a number line 
=
; 
r 
=
; 
=
; 
=
; 
=
; 
*find=
the
absolute value of an expression 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 
=
; 

Ratio=
s,
Percents, Proportions 







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

Learn=
ing
Benchmarks 
Stand=
ards 

Can I
independently apply the concepts of ratios and proportions to solve probl=
ems? 
Relat=
ionships
and converting of decimals, fractions, and decimals. 
Chang=
ing
fractions to decimals 
Decim=
als,
Fractions, and Percents 

Stude=
nts will
be able to apply: 
M.0910.N.01Number
Sense and Operations ~ Identify and use the properties of operations on r=
eal
numbers, including the associative, commutative, and distributive propert=
ies;
the existence of the identity and inverse elements for addition and
multiplication; the existence of nthroots of positive real numbers for any
positive integer n; and the inverse relationship between taking the nth r=
oot
of and the nth power of a positive real number. 

=
; 
=
; 
=
; 
Ratio=
s and
Proportions 
*the =
percent
formula 

Can I=
use the
concept of percents to determine taxes, sales, increases and decreases?
 Ratio=
s 
Chang=
ing
decimals to percents and percents to decimals. 
Solvi=
ng percent
problems 
*the =
percent
change formula 

=
; 
=
; 
=
; 
=
; 
=
; 

Can I=
use
proportions to solve real world problems such as, percents, percent chang=
e,
and scale factor. 
Propo=
rtions 
Deter=
mining
ratios of given information and expressing in simplest form. 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
Solvi=
ng percent
problems using ratios and proportions. 
Using=
ratios
and proportions to solve percent problems. 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
Findi=
ng percent
increase and decrease. 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 
O 
Stais=
tics 






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

Learn=
ing
Benchmarks 
Stand=
ards 
t 
Can I
create charts and graphs given a set of data and draw conclusions and make
reasonable prediction based on that data. 
Measu=
res of
central Tendency 
Will =
determine
the appropriate chart or graph for a given set of data. 
Stati=
stics
Project 

Stude=
nts will
be able to: 
A.3S=
tudents
will use creative, analytical, and critical thinking skills. 
o 
Make =
and
interpret tally charts, circle graphs, line plots and graphs, bar graphs,
stemand leaf graphs, and box and whiskers graphs. 
Will =
interpret
information presented on a variety of graphs. 
Open
Response 
*crea=
te a graph
given a certain set of data 
A.4S=
tudents
will be independent learners. 
b 
=
; 
Will =
evaluate
the significance of data to make reasonable predictions. 
=
; 
*inte=
rpret a
variety of graphs 
M.09=
10.D.01Data
Analysis, Statistics, and Probability ~ Select, create, and interpret an
appropriate graphical representation (e.g., scatterplot, table,
stemandleaf plots, boxandwhisker plots, circle graph, line graph, and
line plot) for a set of data and use appropriate statistics (e.g., mean,
median, range, and mode) to communicate information about the data. Use t=
hese
notions to compare different sets of data. 
e 
=
; 
Obtai=
n data
published on the Internet regarding statistical information. 
=
; 
* draw
conclusions from data and a graph 
=
; 
r 
=
; 
=
; 
=
; 
* make
comparisons between graphs 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

Proba=
bilities 







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

Learn=
ing
Benchmarks 
Stand=
ards 

How c=
an I use
probability to determine how likely that a certain event will occur? 
Explo=
re forms
of sample space. 
Will =
evaluate
the significance of data to make reasonable predictions. 
Simulation 

Student
will apply the theories of probability to determine favorable outcomes.&n=
bsp; 
A.3S=
tudents
will use creative, analytical, and critical thinking skills. 

Can I=
compute
the theoretical probabilities or do I conduct an experiment? 
Exper=
imental
and Theoretical Probability. 
Use t=
heoretical
formula to find the probability of an event. 
M.D.A=
1.02Algebra
I ~ Data Analysis, Statistics, and Probability ~ Approximate a line of be=
st
fit (trend line) given a set of data (e.g., scatterplot). Use technology =
when
appropriate. (10.D.2) 

How c=
an I
determine the probability of the outcome of one event followed by a second
event? 
=
; 
=
; 
=
; 

=
; 
Indep=
endent and
dependent events. 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
N 
Linear
Equations 






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

Learn=
ing
Benchmarks 
Stand=
ards 
v 
Can s=
tudents
use their knowledge of linear equations to interpret and make predictions
regarding important information used in the business world. 
Rate =
of
Change(slope). 
Ident=
ify slope
from graph, two points, and in linear equation. 
Busin=
ess
Forecast 

Stude=
nts will
be able to: 
AREI=
.6Solve
systems of linear equations exactly and approximately (e.g., with graphs),
focusing on pairs of linear equations in two variables. 
e 
=
; 
=
; 
Will =
rearrange
linear equation into slope intercept form and graph. 
Using=
linear
Model 
*sket=
ch a
linear equation 
AREI=
.7Solve a
simple system consisting of a linear equation and a quadratic equation in=
two
variables algebraically and graphically. For example, find the points of
intersection between the line y =3D â€“3x and the circle x2 + y2 =3D 3.

m 
What =
does a
solution for a systme of equations mean and how do I find it? 
=
; 
=
; 
Syste=
ms 
*writ=
e a linear
equation 
M.P.A=
1.05Algebra
I ~ Patterns, 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 th=
at
represents the line. Find a linear equation describing a line from a grap=
h 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. (10.P.2) 
b 
=
; 
Linear
equationsslope intercept form. 
Will =
write a
linear model for a real life situation. 
=
; 
*find=
solutions
to linear equations 
M.P.A=
1.06Algebra
I ~ Patterns, Relations and Algebra ~ Find linear equations that represent
lines either perpendicular or parallel to a given line and through a poin=
t,
e.g., by using the â€śpointslopeâ€ť form of the equation. (10.G.8) =

e 
=
; 
=
; 
=
; 
=
; 
*inte=
rpret a
linear model 
=
; 
r 
=
; 
=
; 
=
; 
=
; 
=
; 
=
; 

=
; 
Graph=
ing using
table of values and slope intercept form. 
Findi=
ng a
solution to a systems of equation by graphing and substitution(setting eq=
ual
to each other). 
=
; 
Stude=
nts will
know and be able to solve and write systems of equations and apply
these skills to real world situations. 
=
; 

=
; 
Syste=
ms of
equations. Graphing and substitution. 
Deter=
mine
whether a given set of data has a negative, positive, or no correlation.<=
/td>
 =
; 
=
; 
=
; 

=
; 
Scatt=
er Plots 
=
; 
=
; 
Stude=
nt
will identify and explain the correlation of a given set of data.
 =
; 

=
; 
=
; 
=
; 
=
; 
=
; 
=
; 
D 
Algeb=
ra Blitz 






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

Learn=
ing
Benchmarks 
Stand=
ards 
c 

Multi=
 step
equations 
evalu=
ating math
problems applying multistep procedures 
Equat=
ions 

Stude=
nts will
be able to solve multistep equations and inequalities using the appropri=
ate
methods. 
ACED=
.1Create
equations and inequalities in one variable and use them to solve problems.
Include equations arising from linear and quadratic functions, and simple
rational and exponential functions. 
e 
Equat=
ions with
variable on both sides. 
Solve
multistep equations and inequalties by applying the distributive
property, combining like terms, and applying inverse operations. 
Word
Problems 
Stude=
nt will
develop the ability to solve problems by defining variables and writing
equations. 
M.09=
10.P.06Patterns,
Relations and Algebra ~ Solve equations and inequalities including those
involving absolute value of linear expressions (e.g., x â€“ 2 > 5) a=
nd
apply to the solution of problems. 
m 
Solvi=
ng word
problems using equations. 
=
; 
=
; 
Stude=
nts will
be able to solve simple and multistep equations. Also, they will be
able to use equations to model and solve real world problems. 
=
; 
b 
Multi=
step
inequalities. 
Be ab=
le to
write an algebraic equations and solve. 
=
; 
Stude=
nts will
be able to solve simple and multistep inequalities. They will use a
number line to graphically represent the solution set. Also, studen=
ts
will be able to use inequalities to model and solve real world problems.<=
/td>
 =
; 
e 
Solvi=
ng word
problems using inequalities. 
=
; 
=
; 
=
; 
=
; 
r 
=
; 
Use e=
quations
and inequalities to model and solve word problems. 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 

Polyn=
omials ~ 
Intro=
duction to
polynomials; will continue unit into January 






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

Learn=
ing
Benchmarks 
Stand=
ards 

Can I
recognize and apply the correct method to solve a given problem? 
Types
of polynomials 
Will =
name
polynomial by degree. 
Polynomials
12/1/2013 

Stude=
nts will
know and be able to name, simplify and factor polynomial expressions and =
use
these skills to solve quadratic equations. 
M.0910.P.03Patterns,
Relations and Algebra ~ Add, subtract, and multiply polynomials. Divide
polynomials by monomials. 

=
; 
=
; 

Will =
name
polynomial by number of terms. 
Stude=
nt will be
able to name a polynomial. 

=
; 
=
; 

Will =
put
polynomials in standard form. 
=
; 

=
; 
=
; 
J 
polyn=
omials 






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

Learn=
ing
Benchmarks 
Stand=
ards 
n 

Adding
subtracting polynomials. 
Addin=
g and
subtracting polynomials 
Polyn=
omials(adding
and subtracting) 

Stude=
nt will be
able t simplify polynomials using adding and/or subtraction. 
AAPR.1Understand
that polynomials form a system analogous to the integers, namely, they are
closed under the operations of addition, subtraction, and multiplication;
add, subtract, and multiply polynomials. 
u 
=
; 
=
; 
Polyn=
omials(multiplying) 
=
; 
a 
Multi=
plying
polynomials. 
Findi=
ng GCF 
Great=
est common
Factor of Polynomials 
Stude=
nt will be
able multiply polynomials. 
r 
=
; 
=
; 
=
; 
=
; 
y 
Findi=
ng
greatest common factor of polynomial. 
=
; 
=
; 
Stude=
nt will be
able to recognize the GCF of a given polynomial. 

=
; 
=
; 
=
; 
=
; 

Final=
Review
Project 







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

Learn=
ing
Benchmarks 
Stand=
ards 

How
can teach others what I have learned this semester? 
Order=
of
operations 
All
skills acquired from September  January. 
Final
Semester Project 

Student
will demonstrate that they are able to simplifying expression that include
absolute value rational and irrational numbers, solve equations and
inequalities, model using linear equations, and work with polynomials.
 M.D.A=
1.01Algebra
I ~ Data Analysis, Statistics, and Probability ~ Select, create, and
interpret an appropriate graphical representation (e.g., scatterplot, ta=
ble,
stemandleaf plots, circle graph, line graph, and line plot) for a set of
data and use appropriate statistics (e.g., mean, median, range, and mode)=
to
communicate information about the data. Use these notions to compare
different sets of data. (10.D.1) 

Ratio=
nal and
irrational numbers 
M.D.A=
1.02Algebra
I ~ Data Analysis, Statistics, and Probability ~ Approximate a line of be=
st
fit (trend line) given a set of data (e.g., scatterplot). Use technology =
when
appropriate. (10.D.2) 

Simpl=
ifying
expressions 
M.N.A=
1.02Algebra
I ~ Number Sense and Operations ~ Simplify numerical expressions, includi=
ng
those involving positive integer exponents or the absolute value, e.g.,
3(24â€“ 1) =3D 45, 43 â€“ 5 + 6 =3D 14; apply such simplifications in t=
he
solution of problems. (10.N.2) 

=
; 
M.N.A=
1.03Algebra
I ~ Number Sense and Operations ~ Find the approximate value for solution=
s to
problems involving square roots and cube roots without the use of a
calculator, e.g., Ă– 32  1 Â» 2.8. (10.N.3) 

=
; 
M.P.A=
1.02Algebra
I ~ Patterns, Relations and Algebra ~ Use properties of the real number
system to judge the validity of equations and inequalities, to prove or
disprove statements, and to justify every step in a sequential argument.<=
/td>


=
; 
M.P.A=
1.04Algebra
I ~ Patterns, Relations and Algebra ~ Translate between different
representations of functions and relations: graphs, equations, point sets,
and tabular. 

=
; 
=
; 

Evalu=
ation 
=
; 

Absol=
ute value 
=
; 

=
; 
=
; 

Measu=
res of
Central Tendency 
=
; 

Stati=
sticsGraphs 
=
; 

=
; 
=
; 

Linear
equations 
=
; 

Syste=
ms of
Linear equations 
=
; 

=
; 
=
; 

Equat=
ions and
inequalities 
=
; 

=
; 
=
; 
F 
Area<=
/td>
 





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

Learn=
ing
Benchmarks 
Stand=
ards 
b 

Two D=
imension
Polygons: squares , rectangles, triangles, parallelograms, trapezoids,
rhombuses, and circles. 
Knowl=
edge of
order of operation 
Perimeter
and area 

Stude=
nts will
use prior knowledge: 
A.3S=
tudents
will use creative, analytical, and critical thinking skills. 
r 
=
; 
How to
manipulate a formula to solve for missing information. 
*to t=
ake exams
such as, MCAS, PSATs, SATs, ASVAB 
A.4S=
tudents
will be independent learners. 
u 
Formu=
las
solving for a given variable. 
Test =
taking
skills 
=
; 
M.M.G=
.01Geometry
~ Measurement ~ Calculate perimeter, circumference, and area of common
geometric figures such as parallelograms, trapezoids, circles, and triang=
les.
(10.M.1) 
a 
=
; 
=
; 
=
; 
=
; 
r 
=
; 
To id=
entify
different polygons. 
Stude=
nts will
use their understanding of mathematics to: 
=
; 
y 
=
; 
=
; 
*appl=
y given
formulas on a exam 
=
; 

=
; 
Ident=
ify and
apply the correct formulas to find perimeter and area of shapes. 
*make
reasonable estimate 
=
; 

=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 


Two D=
imension
Polygons: squares , rectangles, triangles, parallelograms, trapezoids,
rhombuses, and circles. 
Knowl=
edge of
order of operation 
Perimeter =
and
area 

Stude=
nts will
use prior knowledge: 
A.3S=
tudents
will use creative, analytical, and critical thinking skills. 

=
; 
How to
manipulate a formula to solve for missing information. 
*to t=
ake exams
such as, MCAS, PSATs, SATs, ASVAB 
A.4S=
tudents
will be independent learners. 

Formu=
las
solving for a given variable. 
Test =
taking
skills 
=
; 
M.M.G=
.01Geometry
~ Measurement ~ Calculate perimeter, circumference, and area of common
geometric figures such as parallelograms, trapezoids, circles, and triang=
les.
(10.M.1) 

=
; 
=
; 
=
; 
=
; 

=
; 
To id=
entify
different polygons. 
Stude=
nts will
use their understanding of mathematics to: 
=
; 

=
; 
=
; 
*appl=
y given
formulas on a exam 
=
; 

=
; 
Ident=
ify and
apply the correct formulas to find perimeter and area of shapes. 
*make
reasonable estimate 
=
; 

=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 

Solid=
s ~ 
Area =
and volume
of solids. 






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

Learn=
ing
Benchmarks 
Stand=
ards 

Will
demonstrate their knowledge of area and volume by applying and manipulati=
ng
the formulas to solve for individual components. 
Solid=
s: cubes,
rectangular prisms, cones, cylinders, and spheres. 

Solids 

Students
will know and be able to calculate the volume and surface area of various
solids. 
M.M.G.02Geometry
~ Measurement ~ Given the formula, find the lateral area, surface area, a=
nd
volume of prisms, pyramids, spheres, cylinders, and cones, e.g., find the
volume of a sphere with a specified surface area. (10.M.2) 

Can I
independently apply the arithmetic concepts of real numbers, fractions,
decimals, percents, exponents and radicals. 
=
; 

=
; 
Area&=
nbsp; and
volume of solids. 

=
; 
=
; 
M 
Angle=
s 






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

Learn=
ing
Benchmarks 
Stand=
ards 
r 
Can I=
draw and
measure two dimensional figures? 
Drawi=
ng and
measuring angles 
Stude=
nt will be
able to draw and measure an angle using a protractor. 
Angles 

Student
will apply the definition of angles and special types of angles. 
A.4S=
tudents
will be independent learners. 
c 
=
; 
=
; 
=
; 
A.6S=
tudents
will demonstrate competency in technology. 
h 
Can I=
use
technology(Sketch Pad) to demonstrate my knowledge of angles and their
relationships. 
Class=
ifying
angles 
Stude=
nt will
find the measure of a missing angle using definitions of different types =
of
angles. 
IT.01=
.60Select
the appropriate technology tool for a task. 

=
; 
=
; 
=
; 
IT.02=
.17Demonstrate
a clear understanding of the school's Acceptable Use Policy. 

=
; 
Types=
of
angles: adjacent, vertical, supplementary, and complementary. 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 

Trian=
gles 







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

Learn=
ing
Benchmarks 
Stand=
ards 


Class=
ifying
triangles by their sides and angles 

Triangles
and angle sum 

Stude=
nts will
know and be able to define and identify basic terminology. 
M.G.G.07Geometry
~ Geometry ~ Solve simple triangle problems using the triangle angle sum
property, and/or the Pythagorean theorem. (10.G.5) 

=
; 
=
; 

The s=
um of the
angles of a triangle. 
Stude=
nts will
know and be able to identify and apply properties of various types of
triangles. 

=
; 
=
; 
A 
Right=
Triangles 






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

Learn=
ing
Benchmarks 
Stand=
ards 
r 
How
are the different types of triangles used in the real world? 
Pythagorean
Theorem. 
Findi=
ng the
value of a variable using angle sum theorem. 
Trian=
gles 

Stude=
nts will
know and be able to identify and apply properties of various types of
triangles. 
M.G.G.07Geometry
~ Geometry ~ Solve simple triangle problems using the triangle angle sum
property, and/or the Pythagorean theorem. (10.G.5) 
i 
=
; 
The T=
riangles
Around Us! 
=
; 
l 
Findi=
ng side
length using Pythagorean theorem. 
=
; 
Stude=
nts will
know and be able to apply the Pythagorean Theorem. 

=
; 
=
; 
=
; 

Pytha=
gorean
Theorem Word Problems 







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

Learn=
ing
Benchmarks 
Stand=
ards 

What
are some of the ways the Pythagorean theorem is used in different fields?=

Using
Pythagorean Theorem find height, length, and distance. 
Apply
Pythagorean theorem and its converse. 
Word
problems. 

Students
will be make a right triangle to find a missing measurement. 
A.2S=
tudents
will develop appropriate reading strategies in order to achieve effective
comprehension levels of various texts. 

M.G.G=
.07Geometry
~ Geometry ~ Solve simple triangle problems using the triangle angle sum
property, and/or the Pythagorean theorem. (10.G.5) 
M 
Reali=
ty ~ 
Model=
ing
realistic situations that use mathematics. 





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

Learn=
ing
Benchmarks 
Stand=
ards 
y 
When =
am I ever
going to use this math? 
Exami=
ning
percent of market share for the top 10 fast food restaurants. 
To be=
able to
use decimals and percents to make decisions, draw conclusions, and make
forecasts. 
Real
World 

Stude=
nts will
be able to apply: 
M.0910.N.04Number
Sense and Operations ~ Use estimation to judge the reasonableness of resu=
lts
of computations and of solutions to problems involving real numbers. =
; 

How d=
oes is
mathematics used in different jobs? How is the application similar and how
are they different/ 
Using=
baseball
players' statistics to formulate a batting order. 
Be ab=
le to use
percent of increase/decrease to the worth of a given item. 
*the =
percent
formula 

=
; 
Using=
Percent
rates to make decisions, such as where to take a vacation. 
=
; 
*the =
percent
change formula 

=
; 
How t=
o make
forecasts about manufacturing levels using percent of increase and
decrease. 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
Stude=
nts will
use mathematical ideas to: 

=
; 
=
; 
=
; 
* make
important financial decisions 

=
; 
=
; 
=
; 
* make
predictions 

=
; 
=
; 
=
; 
* det=
emine
sound investment and business decisions 

=
; 
=
; 
=
; 
*to m=
ake
profitable decisions 

=
; 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
Stude=
nts will
use mathematical concepts and strategies to make important financial
decisions. 

=
; 
=
; 
=
; 
=
; 
J 
Math =
and Me 






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

Learn=
ing
Benchmarks 
Stand=
ards 
n 
How d=
oes what I
learned this year help me in real life? 
Purch=
asing a
Car 
To ap=
ply
knowledge of estimation and percents to determine better deal 
Math =
and
Me 

Stude=
nt will
use a variety of formulas to solve real life problems. 
IT.02=
.16Identify
ways in which technology is used in the workplace and in society. 
e 
=
; 
=
; 
=
; 
Perim=
eter and
area. 
=
; 
IT.03=
.12In
conducting research use all appropriate electronic sources (e.g., Web sit=
es,
online periodical databases, online catalogs). 

How&n=
bsp; will
I use the concept of perimeter and area in my future? 
Webqu=
ests 
Deter=
mine if
you can afford a rent or if you will need roommate 
=
; 
Stude=
nt will
research to prove their answer is sound. 
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. 

=
; 
=
; 
=
; 
=
; 
=
; 
=
; 

How w=
ill my
knowledge of percent help me purchase things by way of credit? 
Perim=
eter and
area. 
Apply=
perimeter
and area formulas to purchase a variety of products, such as flooring, pa=
int,
and fencing. 
=
; 
=
; 
=
; 

=
; 
=
; 
=
; 
=
; 
=
; 
=
; 







