
Teach=
er: CORE
GEO CON & SKILLS 
Updat=
ed 2014 
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Cours=
e: GEO CON
& SKILLS 
Month=
:
All Months 













S 
Basic=
s of
Geometry 






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

Learn=
ing
Benchmarks 
Stand=
ards 
p 
Can I
demonstrate how to use the basic properties of geometry to solve problems
involving points, lines, planes, and polygons? 
Patte=
rns 
Make
predictions and conjectures based on patterns 
Homew=
ork 

Students
will know and be able to define, identify, and apply basic terms. 
M.0910.G.07Geometry
~ Using rectangular coordinates, calculate midpoints of segments, slopes =
of
lines and segments, and distances between two points, and apply the resul=
ts
to the solutions of problems. 
t 
Can I=
draw and
measure twodimensional figures? 
Point=
s, lines,
and planes 
Sketc=
h points,
lines, planes, and their intersections 
Quizz=
es 
e 
=
; 
Segme=
nt and
angle measurements 
Measu=
re
segments and angles 
Teach=
er
Observation 
m 
=
; 
Segme=
nt and
angle bisectors 
Analy=
ze segment
and angle bisectors 
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; 
b 
=
; 
Compl=
ementary
and supplementary angles 
Ident=
ify
complementary, supplementary, and vertical angles 
=
; 
e 
=
; 
Verti=
cal angles 
Solve=
simple
algebraic equations dealing with complementary, supplementary, and vertic=
al
angles 
=
; 
r 
=
; 
Prope=
rties of
equality and congruence 
Use p=
roperties
of equality and congruence 
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; 
O 
Relat=
ionships
Between Lines 






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

Learn=
ing
Benchmarks 
Stand=
ards 
t 
Can I
demonstrate how to use the basic properties of geometry to solve problems
involving lines? 
Relat=
ionships
between parallel, perpendicular, and skew lines 
Ident=
ify
relationships between lines 
Homew=
ork 

Students
will know and be able to apply properties of parallel lines. 
M.09=
10.G.03Geometry
~ Recognize and solve problems involving angles formed by transversals of
coplanar lines. Identify and determine the measure of central and inscrib=
ed
angles and their associated minor and major arcs. Recognize and solve
problems associated with radii, chords, and arcs within or on the same
circle. 
o 
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; 
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; 
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; 
Quizz=
es 
M.09=
10.G.09Geometry
~ Draw the results, and interpret transformations on figures in the
coordinate plane, e.g., translations, reflections, rotations, scale facto=
rs,
and the results of successive transformations. Apply transformations to t=
he
solutions of problems. 
b 
Can I=
draw and
measure 2 dimensional figures? 
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; 
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; 
Teach=
er
Observation 
=
; 
e 
=
; 
Angle=
s formed
by transversals 
Use p=
roperties
of parallel and perpendicular lines 
=
; 
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; 
r 
=
; 
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; 
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; 
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; 
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; 

=
; 
Trans=
lations 
Show =
that two
lines are parallel 
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; 
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; 
N 
Trian=
gles 






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

Learn=
ing
Benchmarks 
Stand=
ards 
v 
Can I=
draw and
measure 2 dimensional figures? 
Types=
of
Triangles 
Class=
ify
triangles and find their angle measures 
Homew=
ork 

Stude=
nts will
know and be able to identify and apply properties of various types of
triangles. 
M.09=
10.G.01Geometry
~ Identify figures using properties of sides, angles, and diagonals. Iden=
tify
the figures' type(s) of symmetry. 
e 
Can I
demonstrate how to use the basic properties of geometry to solve problems
involving points, lines, and planes, and polygons? 
Angle=
measures
of triangles 
Solve=
for
missing angles in any triangle 
Quizz=
es 
=
; 
M.09=
10.G.05Geometry
~ Solve simple triangle problems using the triangle angle sum property an=
d/or
the Pythagorean theorem. 
m 
=
; 
=
; 
Solve=
for
missing angles and sides in equilateral and isosceles triangles 
Teach=
er
Observation 
Stude=
nts will
know and be able to apply the Pythagorean Theorem to right triangles. 
=
; 
b 
=
; 
Isosc=
eles and
Equilateral triangles 
Simpl=
ify Square
Roots 
=
; 
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; 
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; 
e 
=
; 
=
; 
Use t=
he
Pythagorean Theorem and its converse 
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; 
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; 
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; 
r 
=
; 
Squar=
e Roots 
to so=
lve for
missing sides of a right triangle 
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; 
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; 
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; 

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; 
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; 
Show
relationships between a triangle's sides and angles 
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; 
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; 
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; 

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; 
Pytha=
gorean
Theorem and converse 
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; 
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; 
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; 
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; 

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; 
Trian=
gle
Inequalities 
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; 
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; 
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; 
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; 
D 
Congr=
uent
Triangles 






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

Learn=
ing
Benchmarks 
Stand=
ards 
c 
Can I=
draw and
measure 2dimensional figures? 
Congr=
uent
Triangles 
Ident=
ify
corresponding parts of congruent triangles 
Homew=
ork 

Students
will know and be able to use various techniques to prove triangles congru=
ent. 
M.0910.G.04Geometry
~ Apply congruence and similarity correspondences (e.g., DABC @ DXYZ) and
properties of the figures to find missing parts of geometric figures, and
provide logical justification. 
e 
=
; 
Theor=
ems to
prove Triangles are Congruent 
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; 
Quizz=
es 
m 
=
; 
=
; 
=
; 
Teach=
er
Observation 
b 
Can I
demonstrate how to use the basic properties of geometry to solve problems
involving points, lines, and planes, and polygons? 
=
; 
Show =
triangles
are congruent by their corresponding parts 
=
; 
e 
=
; 
=
; 
=
; 
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; 
r 
=
; 
=
; 
Show =
triangles
are congruent by SSS, SAS, ASA, AAS, and HL 
=
; 
J 
Polyn=
omials 






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

Learn=
ing
Benchmarks 
Stand=
ards 
n 
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; 
=
; 
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; 
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; 
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/td>
 =
; 
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; 
u 
Simil=
arity 






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

Learn=
ing
Benchmarks 
Stand=
ards 
r 
Can I
describe how ratio and proportion are used to compare quantities,
measurements, and rates? 
Ratio=
s and
Proportions 
Simpl=
ify ratios
and solve proportions 
Homew=
ork 

Students
will know and be able to identify and apply properties of similar figures=
. 
M.09=
10.G.01Geometry
~ Identify figures using properties of sides, angles, and diagonals. Iden=
tify
the figures' type(s) of symmetry. 
y 
=
; 
=
; 
Quizz=
es 
M.09=
10.M.01Measurement
~ Calculate perimeter, circumference, and area of common geometric figures
such as parallelograms, trapezoids, circles, and triangles. 

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; 
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; 
Teach=
er
Observation 
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; 

Simil=
ar
Polygons 
Ident=
ify
similar polygons using the definition 
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; 
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; 

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; 
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; 
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; 
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; 

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; 
Find =
missing
sides of similar polygons using proportions 
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; 
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; 
F 
Polyg=
ons 






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

Learn=
ing
Benchmarks 
Stand=
ards 
b 
Can I=
draw and
measure 2dimensional figures 
Polyg=
ons 
Ident=
ify convex
and concave polygons 
Homew=
ork 

Stude=
nts will
know and be able to identify, analyze, and apply angle properties of
different types of polygons. 
M.09=
10.G.01Geometry
~ Identify figures using properties of sides, angles, and diagonals. Iden=
tify
the figures' type(s) of symmetry. 
r 
=
; 
=
; 
=
; 
Quizz=
es 
=
; 
M.09=
10.M.01Measurement
~ Calculate perimeter, circumference, and area of common geometric figures
such as parallelograms, trapezoids, circles, and triangles. 
u 
=
; 
=
; 
=
; 
Teach=
er
Observation 
Stude=
nts will
know and be able to apply properties of quadrilaterals. 
=
; 
a 
Can I
demonstrate how to use the basic properties of geometry to solve problems
involving points, lines, and planes, and polygons? 
Prope=
rties of
Parallelograms 
Find =
measures
of interior and exterior angles of polygons 
=
; 
=
; 
=
; 
r 
=
; 
Rhomb=
uses,
Rectangles, and Squares 
=
; 
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; 
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; 
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; 
y 
=
; 
=
; 
Show =
that a
quadrilateral is a parallelogram using its properties 
=
; 
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; 
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; 

=
; 
Trape=
zoids 
=
; 
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; 
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; 
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; 

=
; 
Angle=
s of
Polygons 
=
; 
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; 
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; 
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; 
M 
Area =
of
Polygons and Circles 






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

Learn=
ing
Benchmarks 
Stand=
ards 
r 
Can I=
draw and
measure 2 dimensional figures? 
Area =
of
squares, rectangles, triangles, parallelograms, and trapezoids 
Calcu=
late the
area of squares, rectangles, triangles, parallelograms, and trapezoids
 Homew=
ork 

Students
will know and be able to find the area of various geometric figures. 
M.0910.M.01Measurement
~ Calculate perimeter, circumference, and area of common geometric figures
such as parallelograms, trapezoids, circles, and triangles. 
c 
Can I
demonstrate how to use the basic properties of geometry to solve problems
involving points, lines, and planes, and polygons? 
=
; 
=
; 
Quizz=
es 
h 
=
; 
Circu=
mference
and area of circles 
Calcu=
late the
circumference and area of circles 
Teach=
er
Observation 

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; 
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; 
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; 
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; 
A 
Solid=
figures 






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

Learn=
ing
Benchmarks 
Stand=
ards 
r 
Can I=
draw and
measure 2 and 3dimensional figures? 
Solid=
Figures 
Ident=
ify and
name solids 
Homew=
ork 

Students
will know and be able to calculate the volume and surface area of various
solids. 
M.0910.M.02Measurement
~ Given the formula, find the lateral area, surface area, and volume of
prisms, pyramids, spheres, cylinders, and cones, e.g., find the volume of=
a
sphere with a specified surface area. 
i 
=
; 
=
; 
=
; 
Quizz=
es 
l 
=
; 
Surfa=
ce Area 
Find =
the
surface area of rectangular prisms, cylinders, cones, square pyramids, and
spheres 
=
; 

Can I=
apply
appropriate formulas to find solutions? 
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; 
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; 
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; 

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; 
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; 
Find =
the volume
of rectangular prisms, cylinders, cones, square pyramids, and spheres 
=
; 

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; 
Volum=
e 
=
; 
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; 
M 
Graph=
ing Lines 






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

Learn=
ing
Benchmarks 
Stand=
ards 
y 
Can I=
work in a
coordinate plane and apply appropriate formulas to find solutions? 
The c=
oordinate
plane 
Ident=
ify and
plot ordered pairs 
Homew=
ork 

Students
will know and be able to graph, write, and interpret linear equations in a
variety of contexts. 
M.09=
10.G.07Geometry
~ Using rectangular coordinates, calculate midpoints of segments, slopes =
of
lines and segments, and distances between two points, and apply the resul=
ts
to the solutions of problems. 

=
; 
=
; 
=
; 
Quizz=
es 
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. 

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; 
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; 
=
; 
Teach=
er
Observation 
=
; 

Can I=
draw and
measure 2dimensional figures? 
Graph=
ing Linear
Equations 
Graph=
linear
equations using a table 
=
; 
=
; 

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; 
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; 
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; 
=
; 
=
; 

=
; 
The s=
lope of a
line 
Graph=
linear
equations using slope intercept form 
=
; 
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; 

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; 
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; 
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; 
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; 
=
; 

=
; 
Equat=
ion of a
line in slopeintercept form 
Write=
a linear
equation in slopeintercept form given the graph, or the slope and
yintercept 
=
; 
=
; 

=
; 
Horiz=
ontal and
vertical lines 
=
; 
=
; 
=
; 

=
; 
=
; 
Find =
slope
given two points 
=
; 
=
; 
J 
Addit=
ional
Topics 






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

Learn=
ing
Benchmarks 
Stand=
ards 
n 
Can I
demonstrate how to use the basic properties of geometry to solve problems
involving points, lines, and planes, and polygons? 
Inequ=
alities 
Solve=
and graph
onestep and multistep inequalities 
Homew=
ork 

Stude=
nts will
know and be able to solve linear inequalities. 
M.09=
10.G.01Geometry
~ Identify figures using properties of sides, angles, and diagonals. Iden=
tify
the figures' type(s) of symmetry. 
e 
Can I=
solve
problems using algebraic symbols? 
Speci=
al Right
triangles (306090) (454590) 
Solve=
for
missing sides in a 306090 triangle and a 454590 triangle 
Quizz=
es 
=
; 
M.09=
10.G.06Geometry
~ Use the properties of special triangles (e.g., isosceles, equilateral,
30Â°â€“60Â°â€“90Â°, 45Â°â€“45Â°â€“90Â°) to solve problems. 

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; 
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; 
Demon=
strate
knowledge of the content learned in the second semester 
Teach=
er
Observation 
Stude=
nts will
know and be able to apply properties of special right triangles. 
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. 

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