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Pitt County Schools
203012 Geometry
Instructional Guide
TIME FRAME: FIRST GRADING PERIOD
SCOS GOALS AND OBJECTIVES
Goal 1: The learner will perform
operations 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 and 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.
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.
Goal 2: The learner will use geometric
and algebraic properties of figures to
solve problems and write proofs.
ESSENTIAL QUESTIONS, BENCHMARKS, AND
SKILLS
POINTS, LINES, PLANES, AND
ANGLES
What are the basic undefined terms in a
Euclidean Geometry structure?
How are definitions, formulas, and postulates
used to solve problems?

Find length of segments

Find sum of measures of angles

Fin sum of measures of remote
interior angles of a triangle

Use base angles of an isosceles
triangle to determine missing information

Use altitudes, medians and angle
bisectors to find missing information.
REASONING AND PROOF
2.01 How do you construct a inductive and
deductive proof to determine whether
ESSENTIAL TASKS,
STRATEGIES, PROJECTS,
CONNECTIONS
Geometry Activity:
Probability and Segment
Measure (p. 20)
Geometry Activity:
Modeling the Pythagorean
Theorem (p. 28)
RECOMMENDED
RESOURCES
AND
ASSESSMENT
Geometry
(Glencoe
Publisher)
Textbook:
Chapter 1
(6 Days)
Geometry Activity:
Constructing
Perpendiculars (p. 44)
Geometry Software
Investigation: Measuring
Polygons (p. 51)
Geometry Activity: Matrix
Logic (p. 82)
Textbook:
Chapter 2
(8 Days)
1
2.01 Use logic and deductive reasoning to
draw conclusions and solve problems.
2.02 Apply properties, definitions, and
theorems of angles and lines to solve
problems and write proofs.
geometric propositions are true? Why is it
important to do this?
Goal 1: The learner will perform
operations 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 and volume of composite
figures.
Goal 2: The learner will use geometric
and algebraic 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
theorems of angles and lines to solve
problems and write proofs.
PARALLEL AND PERPENDICULAR
LINES
What are kind of special angles are formed by
parallel lines that are cut by a transversal?
Transition SCOS (1998):
3.01 Use slopes to determine if two lines
are parallel or perpendicular
3.02 Write the equation of a line parallel
or perpendicular to a given line through a
given point.
Goal 2: The learner will use geometric
and algebraic properties of figures to
solve problems and write proofs.
2.01 Use logic and deductive reasoning to
How do the converse, inverse and
contrapositive of a conditional statement
relate?

Compose a conditional statement?
How would you use slopes of perpendicular
lines and parallel lines to solve problems and
write equations?
Geometry Software
Investigation: Angles and
Parallel Lines (p. 132)
Textbook:
Chapter 3
(8 Days)
Graphing Calculator
Investigation: Points of
Intersection (p. 158)
Geometry Activity: NonEuclidean Geometry (p.
165)
CONGRUENT TRIANGLES
2.01 How would you use inductive and
deductive reasoning to draw conclusions?
Geometry Activity: Angles
of Triangles (p. 184)
Textbook:
Chapter 4
(8 Days)
Geometry Activity:
2
draw conclusions and solve problems.
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 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 algebraic terms.
2.03a How can triangles be proved
congruent?

SSS, SAS, ASA, AAS, LL, LA, HL
and HA
congruence in Right
Triangles (p. 214)
TIME FRAME: SECOND GRADING PERIOD
SCOS GOALS AND OBJECTIVES
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.
2.01 Use logic and deductive reasoning to
draw conclusions and solve problems.
2.02 Apply properties, definitions, and
ESSENTIAL QUESTIONS, BENCHMARKS, AND
SKILLS
RELATIONSHIPS IN TRIANGLES
Why are indirect proofs useful in geometry?
How are scale factors used to determine
whether figures are similar?
How are Inequality Theorems used to find
missing information?

SAS Inequality Theorem

SSS Inequality Theorem
ESSENTIAL TASKS,
STRATEGIES, PROJECTS,
CONNECTIONS
Geometry Activity:
Bisectors, Medians, and
Altitudes (p. 236)
RECOMMENDED
RESOURCES
AND
ASSESSMENT
Textbook:
Chapter 5
(7 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
Goal 1: The learner will perform
operations 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 and volume of composite
figures.
Goal 2: The learner will use geometric
and algebraic 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
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
PROPORTIONS AND SIMILARITY
How are proportions used to solve problems?
What are the relationships of similar
triangles?

SSS, SAS or AA
Spreadsheet Investigation:
Fibonacci Sequence and
Ratios (p. 288)
Goal 1: The learner will perform
operations with real numbers to solve
problems.
1.01 Use the trigonometric ratios to model
RIGHT TRIANGLES AND
TRIGONOMETRY
What is the geometric mean and how is it
used to solve problems?
Geometry Activity: The
Pythagorean Theorem (p.
249)
Textbook:
Chapter 6
(6 Days)
Geometry Activity:
Sierpinski Triangle (p.
324)
Textbook:
Chapter 7
(5 Days)
4
and solve problems involving right
triangles.
Goal 2: The learner will use geometric
and algebraic 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
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
What is the Pythagorean Theorem and how is
it used to solve problems?

Converse of Pythagorean Theorem
What are trig ratios and how are they used to
solve problems?
Goal 2: The learner will use geometric
and algebraic 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
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:
(b) Quadrilaterals
(c) Other polygons
QUADRILATERALS
What are the properties of quadrilaterals and
how can be they be used to solve problems?
Spreadsheet Investigation:
Angles of Polygons (p.
410)
How can you prove a quadrilateral is a
parallelogram?
Geometry Activity: Kites
(p. 438)
Goal 1: The learner will perform
operations with real numbers to solve
problems.
1.03 Use length, area, and volume to
TRANSFORMATIONS
How can translated images be drawn using
coordinates?
How are the properties of special triangles
and how are they used to solve problems?

45-45-90 Triangle

30-60-90 Triangle
Geometry Software
Investigation: The
Ambiguous Case of the
Law of Sines (p. 384)
Geometry Activity:
Trigonometric Identities (p.
391)
What are the Law of Sines and the Law of
Cosines and how can it be applied to solve
problems?
Textbook:
Chapter 8
(6 Days)
What are the properties of a rhombi and a
square?
Geometry Activity:
Transformations (p. 462)
Textbook:
Chapter 9
(6 Days)
Geometry Activity:
5
model and solve problems involving
probability.
Goal 2: The learner will use geometric
and algebraic properties of figures to
solve problems and write proofs.
2.01 Use logic and deductive reasoning to
draw conclusions and solve problems.
2.02 Apply properties, definitions, and
theorems of angles and lines to solve
problems and write proofs.
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 algebraic terms.
3.02 Use matrix operations (addition,
subtraction, multiplication, scalar
multiplication) to describe the
transformation of polygons in the
coordinate plane.
What are the attributes of tessellations?
Tessellations and
Transformations (p. 489)
How are matrices used to make
transformations?
TIME FRAME: THIRD GRADING PERIOD
SCOS GOALS AND OBJECTIVES
Goal 1: The learner will perform
operations 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 and volume of composite
figures.
ESSENTIAL QUESTIONS, BENCHMARKS, AND
SKILLS
CIRCLES
What are the parts and attributes of a circle?
What are the relationships of chords and arcs
of a circle?
ESSENTIAL TASKS,
STRATEGIES, PROJECTS,
CONNECTIONS
Geometry Activity:
Inscribed and
Circumscribed Triangles
(p. 559)
RECOMMENDED
RESOURCES
AND
ASSESSMENT
Textbook:
Chapter 10
(8 Days)
How can an equation of a circle be
determined and identified?
How would you use area of a circle to find the
6
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.
2.01 Use logic and deductive reasoning to
draw conclusions and solve problems.
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 angles and lines to solve
problems and write proofs:
(d) Circles
Transition SCOS (1998):
2.16b Use the equation of a circle, its
center and radius length, to solve
problems.
Goal 1: The learner will perform
operations 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 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.
2.01 Use logic and deductive reasoning to
draw conclusions and solve problems.
2.02 Apply properties, definitions, and
probability of randomly choosing a point in a
given plane figure?
AREAS OF POLYGONS AND CIRCLES
How can determining the area of geometric
figures be used to solve problems?
Textbook:
Chapter 11
(5 Days)
How would you use area to find the
probability of randomly choosing a point in a
given plane figure?
How do you find the area of an irregular
figure?
7
theorems of angles and lines to solve
problems and write proofs.
2.03 Apply properties, definitions, and
theorems of angles and lines to solve
problems and write proofs:
(a) Triangles
(b) Quadrilaterals
(c) Other polygons
Goal 1: The learner will perform
operations with real numbers to solve
problems.
1.01 Use the trigonometric ratios to model
and solve problems involving right
triangles.
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.
2.01 Use logic and deductive reasoning to
draw conclusions and solve problems.
2.02 Apply properties, definitions, and
theorems of angles and lines to solve
problems and write proofs.
2.04 Develop and apply properties of
solids to solve problems
Goal 1: The learner will perform
operations with real numbers to solve
problems.
1.01 Use the trigonometric ratios to model
and solve problems involving right
triangles.
SURFACE AREA
What is a net?
Geometry Activity: Locus
and Spheres (p. 677)
Textbook:
Chapter 12
(5 Days)
Demonstration with plastic
geo-solids with water or
sand
Textbook:
Chapter 13
(5 Days)
How does lateral area and surface area
compare?
VOLUME
How would you use volume formulas to find
volume of prisms, pyramids, cylinders, cones,
spheres and composite figures?
How would you use volumes to find the
Spreadsheet Investigation:
Prisms (p. 695)
8
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.
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.
2.01 Use logic and deductive reasoning to
draw conclusions and solve problems.
2.02 Apply properties, definitions, and
theorems of angles and lines to solve
problems and write proofs.
2.04 Develop and apply properties of
solids to solve problems.
probability of randomly choosing a point in a
given solid?
How can solid figures be determined
congruent or similar?
Can a midpoint be determined for a segment
in space?
REVIEW AND EOC
(7 Days)
9