1
Pitt County Schools
206322 Geometric Essentials
Instructional Guide
TIME FRAME: FIRST GRADING PERIOD
SCOS GOALS AND OBJECTIVES
ESSENTIAL QUESTIONS,
BENCHMARKS, AND SKILLS
ESSENTIAL TASKS,
STRATEGIES,
PROJECTS,
CONNECTIONS
RECOMMEND
ED
RESOURCES
AND
AS
SESSMENT
NC SCOS: Algebra 4.01
Use linear
functions or inequalities to model and
solve problems; justify results.
1.
Solve using tables, graphs, and
algebraic properties.
2.
Interpret constants and coefficients I
the context of the problem.
How can linear equ
ations model real

world
data?
What do the coefficients of the linear equation
mean in a real

world context?
Be able to use tables, graphs, equations
Collect real data and use it
to make a graph and find
the linear equation to
model.
Textbook:
Glencoe:
Alg
ebra I
(5 Days)
NCTM’s
乡癩条瑩湧
瑨牯畧栠䅬来扲b
a湤⁎n癩ga瑩ng
瑨牯畧栠
䝥潭整oy
䑐I㨠W瑲t瑥g楥猠
景f⁁ ge扲a I
NC SCOS: Algebra 1.01
Write
equivalent forms of algebraic expressions
to solve problems.
1.
Apply the laws of exponents.
2.
Operate with polynomia
ls.
3.
Factor polynomials.
How can show that expressions that are
written in different forms are the same value?
What are the laws of exponents and why is
using exponents useful?
What is the relationship between the factoring
of a polynomial and the points
on the graph?
The Pyramid Problem
(Navigating through
Algebra

Grades 6

8 or call
Karen Vaughan)
Textbook:
Glencoe:
Algebra I
(5 Days)
NCTM’s
乡癩条瑩湧
瑨牯畧栠䅬来扲b
a湤⁎n癩ga瑩ng
瑨牯畧栠
䝥潭整oy
䑐I㨠W瑲t瑥g楥猠
2
for Algebra I
NC SCOS: Algebra 4.02
G
raph, factor,
and evaluate quadratic functions to solve
problems.
How do the coefficients of the quadratic
equation affect the location of the parabola on
the coordinate graph?
How do you find the solutions of the
quadratic and how do they relate to the
points
on the graph of the parabola.
Use motion detector to
graph tossed ball.
Textbook:
Glencoe:
Algebra I
(4 Days)
NCTM’s
乡癩条瑩湧
瑨牯畧栠䅬来扲b
a湤⁎n癩ga瑩ng
瑨牯畧栠
䝥潭整oy
䑐I㨠W瑲t瑥g楥猠
景f⁁ ge扲a I
Goal 1: The learner will perform
opera
tions with real numbers to solve
problems.
1.02 Use length, area, and volume of
geometric figures to solve problems.
Include arc length, area of sectors of
circles; lateral area, surface area, and
volume of three

dimensional figures; and
perimeter, area an
d volume of composite
figures.
Goal 2 The learner will use geometric
and algebraic properties of figures to
solve problems and write proofs.
2.02 Apply properties, definitions, and
theorems of angles and lines to solve
problems and write proofs.
DISCOVERI
NG POINTS, LINES,
PLANES, AND ANGLES
How can you apply segment measure to
coordinate graphing?
Find the midpoint and distance of a
segment
Glencoe:
Geometry
Chapter 1
(Sections 1

1 to
1

6)
(4 Days)
Goal 2: The learner will use geometric
and algebrai
c properties of figures to
solve problems and write proofs.
2.01 Use logic and deductive reasoning to
draw conclusions and solve problems.
2.02 Apply properties, definitions, and
CONNECTING REASONING AND
PROOF
How can you use logical reasoning to solve
mathematical prob
lems?
Develop a problem solving strategy
Identify and draw models of points,
Textbook:
Chapter 2
(Sections 2

1 to
2

5)
(4 Days)
3
theorems of angles and lines to solve
problems and write proofs.
2.03 Apply
properties, definitions, and
theorems of two

dimensional figures to
solve problems and write proofs:
(a) Triangles
(b) Quadrilaterals
(c) Other polygons
(d) Circles
lines, and planes
Goal 2: The learner will use geometric
and algebraic properties of figures to
solve problems and write p
roofs.
2.02 Apply properties, definitions, and
theorems of angles and lines to solve
problems and write proofs.
USING PERPENDICULAR AND
PARALLEL LINES
What are the relationships between segments,
lines, and planes?
Identify special angles formed by
paral
lel lines
How can you use the different types of angles
to solve real world problems
Identify angle addition postulate
Protractor use
Textbook:
Chapter 3
(Sections 3

1 to
3

7)
(6 Days)
Goal 2: The learner will use geometric
and algebraic properties of
figures to
solve problems and write proofs.
2.02 Apply properties, definitions, and
theorems of angles and lines to solve
problems and write proofs.
2.03 Apply properties, definitions, and
theorems of two

dimensional figures to
solve problems and write pr
oofs:
(a) Triangles
(b) Quadrilaterals
(c) Other polygons
(d) Circles
IDENTIFYING CONGRUENT
TRIANGLES
How can you determine what information is
necessary to identify congruent triangles?
Identify corresponding parts of
congruent triangles
Understand the an
gle sum theorem
Textbook:
Chapter 4
(Sections 4

1 to
4

6)
(5 Days)
TIME FRAME: SECOND GRADING PERIOD
SCOS GOALS AND OBJECTIVES
ESSENTIAL QUESTIONS,
ESSENTIAL TASKS,
RECOMMEND
4
BENCHMARKS, AND SKILLS
STRATEGIES,
PROJECTS,
CONNECTIONS
ED
RESOURCES
AND
A
SSESSMENT
Goal 2: The learner will use geometric
and algebraic properties of figures to
solve problems and write proofs.
2.03 Apply properties, definitions, and
theorems of two dimensional figures to
solve problems and write proofs:
(a) Triangles
(b) Qu
adrilaterals
(c) Other polygons
(d) Circles
APPLYING CONGRUENT TRIANGLES
What are the different ways to determine if
triangles are congruent?
Textbook:
Chapter 5
(Sections 5

1 to
5

6)
(6 Days)
Goal 2: The learner will use geometric
and algebraic proper
ties of figures to
solve problems and write proofs.
2.03 Apply properties, definitions, and
theorems of two dimensional figures to
solve problems and write proofs:
(a) Triangles
(b) Quadrilaterals
(c) Other polygons
(d) Circles
EXPLORING QUADRILATERALS
W
hat are the special properties of
quadrilaterals?
Properties of parallelograms and
trapezoids
Use The Geometer’s
p步瑣桰t搠瑯d灬潲p
灲潰p牴楥猠潦igu牥献
呥x瑢潯欺
C桡灴敲‶
⠶⁄ay猩
Goal 1: The learner will perform
operations with real numbers to so
lve
problems.
1.02 Use length, area, and volume of
geometric figures to solve problems.
Include arc length, area of sectors of
circles; lateral area, surface area, and
volume of three

dimensional figures; and
perimeter, area and volume of composite
figures
.
Goal 2: The learner will use geometric
and algebraic properties of figures to
solve problems and write proofs.
CONNECTING PROPORTION AND
SIMILARITY
How can you use proportional reasoning to
solve problems?
Identify proportional parts
Identify
similar figures
Use The Geometer’s
p步瑣桰t搠瑯d灬潲p
灲潰p牴楥猠潦igu牥献
呥x瑢潯欺
C桡灴敲‷
⡓Ec瑩潮猠o

ㄠ瑯N
T

ㄩ
⠶⁄ay猩
5
2.02 Apply properties, definitions, and
theorems of angles and lines to solve
problems and write proofs.
2.03 Apply properties, definitions,
and
theorems of two

dimensional figures to
solve problems and write proofs:
(a)
Triangles
(b)
Quadrilaterals
(c)
Other polygons
(d)
Circles
Goal 1: The learner will perform
operations with real numbers to solve
problems.
1.02 Use length, area, and volume of
geomet
ric figures to solve problems.
Include arc length, area of sectors of
circles; lateral area, surface area, and
volume of three

dimensional figures;
and perimeter, area and volume of
composite figures.
Goal 2: The learner will use geometric
and algebraic pr
operties of figures to
solve problems and write proofs.
2.03 Apply properties, definitions, and
theorems of two dimensional figures to
solve problems and write proofs:
(a) Triangles
(b) Quadrilaterals
(c) Other polygons
(d) Circles
APPLYING RIGHT TRIANGL
ES AND
TRIGONOMETRY
How can you apply special segments in
solving problems involving triangles?
Understand the Pythagorean Theorem
Identify medians, altitudes, and
perpendicular bisectors
Construction of segments
How can you apply ratios to solve problems
with right triangles?
Identify parts of right triangles and
special right triangles
Flagpole shadow
demonstration
Use The Geometer’s
p步瑣桰t搠瑯d灬潲p
灲潰p牴楥猠潦igu牥献
呥x瑢潯欺
C桡灴敲‸
⡓Ec瑩潮猠o

ㄠ瑯N
U

㔩
⠶⁄ay猩†
Goal 2: The learner wi
ll use geometric
and algebraic properties of figures to
solve problems and write proofs.
2.02 Apply properties, definitions, and
theorems of angles and lines to solve
problems and write proofs.
2.03 Apply properties, definitions, and
ANALYZING CIRCLES
How can you solve problems using the
relationships between arcs, chords, and
diameters?
Identify relationships among arcs,
chords,
diameters
How can you apply segments to solving
Use The Geometer’s
p步瑣桰t搠瑯d灬潲p
灲潰p牴楥猠潦igu牥献
呥x瑢潯欺
C桡灴敲‹
⡓Ec瑩潮猠o

ㄠ瑯N
9

㔩
E
㔠䑡y猩†
6
theorems of two

dimen
sional figures
to solve problems and write proofs:
(a) Triangles
(b) Quadrilaterals
(c) Other polygons
(d) Circles
problems with circles?
Write the equation of a circle
Identify special segments in a circle
TIME FRAME: THIRD GRADING PERIOD
SCOS GOALS AND OBJECTIVES
ESSENTIAL QUESTIONS,
BENCHMARKS, AND SKILLS
ESSENTIAL TASKS,
STRATEGIES,
PROJECTS,
CONNECTIONS
RECOMMEND
ED
RESOURCES
AND
ASSESSMENT
Goal 1: The learner will perform
operations with rea
l numbers to solve
problems.
1.02 Use length, area, and volume to solve
problem. Include arc length, area of
sectors of circles; lateral area, surface
area, and volume of three

dimensional
figures; and perimeter, area, and volume
of composite figures.
1.03
Use length, area, and volume to
model and solve problems involving
probability.
Goal 2: The learner will use geometric
and algebraic properties of figures to
solve problems and write proofs.
2.03 Apply properties, definitions, and
theorems of two

dimens
ional figures to
solve problems and write proofs:
(a) Triangles
(b) Quadrilaterals
(c) Other polygons
(d) Circles
Goal 3: The learner will transform
EXPLORING POLYGONS AND AREA
How can you use angle relationships to solve
problems dealing with area?
Find areas of triangles and
quadrilaterals
Use The Geometer’s
Sket
chpad to explore
properties of figures.
Textbook:
Chapter 10
(Sections 10

1 to
10

6)
(7 Days)
Composition of
transformations
“Symmetry in
Motion”
Geometry to Go
p. 72
7
geometric figures in the coordinate
plane algebraically.
3.01 Describe transformations
(translation, reflec
tion, rotation, dilation)
of polygons in the coordinate plane in
simple algebraic terms.
Goal 1: The learner will perform
operations with real numbers to solve
problems.
1.03
Use length, area, and volume to
model and solve problems involving
probability.
Goal 2: The learner will use geometric
and algebraic properties of figures to
solve problems and write proofs.
2.04 Develop and apply properties of
solids to solve problems.
INVESTIGATING SURFACE AREA
AND VOLUME
How does surface area relate to volume?
Nets
How can you use the properties of solids to
connect the relationships between area and
volume?
Identify solid figures
Calculate area and volume
Textbook:
Chapter 11
(Secti
ons 11

1 to
11

6)
(7 Days)
Goal 2: The learner will use geometric
and algebraic properties of figures to
solve problems and write proofs.
2.03 Apply properties, definitions, and
theorems of two

dimensional figures to
solve problems and write proofs:
(a)
Triangles
(b) Quadrilaterals
(c) Other polygons
(d) Circles
2.04 Develop and apply properties of
solids to solve problems.
CONTINUING COORDINATE
GEOMETRY
Use The Geometer’s
p步瑣桰t搠瑯d灬潲p
灲潰p牴楥猠潦igu牥献
Coordinate Grid
Textbook:
Chapter 12
(
Sections 12

1 to
12

5)
(6 Days)
Goal 3: The learner will transform
geometric figures in the coordinate
plane algebraically.
3.01 Describe the transformation
(translation, reflection, rotation, dilation)
of polygons in the coordinate plane in
simple alge
braic terms.
3.02 Use matrix operations (addition,
INVESTIGATING LOCI AND
COORDINATE TRANSFORMATIONS
How do the coordinates of a point o
f a
polygon change after a transformation on the
coordinate plane?
Use The Geometer’s
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灲潰p牴楥猠潦igu牥献
cer物猠r桥e氠l牯扬r洠m
⡓步瑣桰t搩
呥x瑢潯欺
C桡灴敲‱
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ㄠ瑯N
ㄳ

㔩5
⠷⁄ay猩s
p異灬敭u湴n
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8
subtraction, multiplication, scalar
multiplication) to describe the
transformation of polygons in the
coordinate plane.
ADDITIONAL R
ECOMMENDED RESOURCES
Geometry To Go
, A Mathematics Handbook, Great Source Education Group, Houghton

Mifflin Company
Exploring Geometry With The Geometer’s Sketchpad
, Key Curriculum Press
Discovering Geometry
, Key Curriculum Press
Discovering Geometry Wit
h The Geometer’s Sketchpad
, Key Curriculum Press
Geometry Through The Circle
, Key Curriculum Press
Www. Nc.Geomconcepts.Com
Www.E

Zgeometry.Com
RECOMMENDED GRADING POLICY
10 %
Homework
10 %
Class work
10 %
Q
uizzes
70 %
Tests And Projects
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