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COURSE SYLLABUS
Program
Geometry
IMT
Teacher
Contact Information 606-862-5580
Jackie Robinson
Extension - 6523
Prerequisites Algebra 1
High School Credit(s) 1
Course Numbers
Course Description
This course is designed to emphasize the study of the properties and applications of common
geometric figures in two and three dimensions. It includes the study of transformations and
right triangle trigonometry. Inductive and deductive thinking skills are used in problem
solving situations, and applications to the real world are stressed. It also emphasizes writing
proofs to solve (prove) properties of geometric figures.
Materials Used (textbooks, software, etc.)
Students will be utilizing the following texts:
Holt McDougal Geometry
Students will also need access to the Internet in order to utilize my Webpage,
Blogs, and in order to receive make-up work.
Grading
-
Test
70%
-
Class Assignments
30%
Assessments
Students are given quizzes as at various times throughout each unit. There are
comprehensive exams at each midterm and end of term date.
Procedures for Makeup Work/Tests
Makeup work/test will follow the procedures set forth in the Code of Conduct.
Students are responsible for confirming day and time to make up exams/quizzes.
Attendance Policy
See District and School Policies
Supplies (to be supplied by the student)
None
Class Expectations (class rules)
Students must adhere to the following rules in class each day or be subject to the
school’s discipline plan.
-
Follow directions the first time they are given.
Follow all school rules.
Bring all materials needed to learn to class.
Respect others and display common courtesy.
Do not interfere with another student’s right to learn.
Ask for permission to get on the floor.
Raise hand and ask for permission to speak
Due Dates: I reserve the right to change due dates and add or eliminate items from
the curriculum should I feel it necessary. Students will be given a minimum of
three days notice in order for them to accommodate the new due dates and/ or
items.
Cell Phone and Student Technology Policy: Cell phones and all student
technology are only permitted for instructional use. If students use cell phones or
student computers for personal or entertainment purposes, disciplinary action will
be taken. Students are expected to abide by policies set by the district, as well as
CFI. Additionally, students will be assigned computers within the classroom and
will be responsible for any damages of the property of CFI. The instructor will
monitor student technology during and between classes. If students notice any
damage upon entering the classroom they are encouraged to report it to the
instructor before they begin using their assigned technology.
Food and Drink Policy: Food and drinks are not permissible within the classroom.
The instructor will be considerate of medical concerns.
Consequences: The following actions will be taken should a student fail to adhere
to the rules in place.
1. Warning
2. Warning and parent contact
3. Referral and parent contact
Course Outline/Tentative Schedule/Major Assignments
Geometry Lesson Plans
Chapter 1/5/10
Title: Foundations of Geometry
DART STATEMENT…WHAT YOU
WILL BE ABLE TO DO AFTER EACH
LESSON
I can understand and identify Points
lines and planes.
I can measure and construct
segments.
COMMON
CORE
STANDARDS
SUGGESTED
HOMEWORK
CC.9-12
G.CO.1
Geo. 1.1
CC.9-12
G.CO.12
Geo. 1.2
CC.9-12
G.CO.1
G.CO.12
Geo. 1.3
CC.9-12
G.CO.1
Geo. 1.4
CC.9-12
G.GPE.7
Geo. 1.6
CC.9-12
G.SRT.8
G.SRT.4
Geo. 5.7
CC.9-12
A.SSE.1
A.CED.4
G.GMD.1
Geo. 1.5
Geo. 10.1
Geo. 10.2
CC.9-12
G.MG.3
G.SRT.9
Geo. 10.3
CC.9-12
G.GPE.7
Geo. 10.4
I can measure and construct angles.
I can identify and find measures of
pairs of angles.
I can find midpoint and distance in
the coordinate plane.
I can use the Pythagorean Theorem
to find distance or length in right
triangles.
I can find the area and perimeter of
basic geometric figures. (Circles,
Triangles, Rectangles, and
Trapezoids)
I can find the area and perimeter of
composite figures.
I can find area and perimeter of
figures in the coordinate plane.
HIGHER LEVEL
QUESTIONS
NOTES/
ACTIVITIES
Geometry Lesson Plans
Chapter 2
Title: Proofs
DART STATEMENT…WHAT YOU
WILL BE ABLE TO DO AFTER EACH
LESSON
I can identify the hypothesis and
conclusion of a conditional statement.
I can write the converse, inverse, and
contrapositive of a conditional
statement.
I can determine the truth value of a
conditional statement.
I can identify algebraic and geometric
properties and apply them to
conditional statements.
I can complete simple algebraic
proofs.
I can complete geometric proofs
involving segment addition, angle
addition, midpoint, bisectors,
complements, and supplements.
COMMON
CORE
STANDARDS
SUGGESTED
HOMEWORK
CC.9-12
G.CO.9-11
G.SRT.4
Proofs
Packet
CC.9-12
G.CO.9-11
G.SRT.4
Proofs
Packet
CC.9-12
G.CO.9-11
G.SRT.4
Proofs
Packet
CC.9-12
G.CO.9-11
G.SRT.4
Proofs
Packet
CC.9-12
G.CO.9-11
G.SRT.4
Proofs
Packet
CC.9-12
G.CO.9-11
G.SRT.4
Proofs
Packet
HIGHER LEVEL
QUESTIONS
NOTES/
ACTIVITIES
Geometry Lesson Plans
Chapter 3
Title: Parallel and Perpendicular Lines
DART STATEMENT…WHAT YOU
WILL BE ABLE TO DO AFTER EACH
LESSON
I can identify parallel, perpendicular,
and skew lines.
I can Identify the pairs of angles
formed by two lines and a transversal.
I can prove and use theorems about
the angles formed by parallel lines
and transversals.
I can use the angles formed by a
transversal to prove two lines are
parallel.
COMMON
CORE
STANDARDS
SUGGESTED
HOMEWORK
CC.9-12
G.CO.1
Geo. 3.1
CC.9-12
G.CO.1
Geo. 3.1
CC.9-12
G.CO.9
Geo. 3.2
CC.9-12
G.CO.9
Geo. 3.3
G.CO.12
Geo. 3.3
CC.9-12
G.CO.1
Geo. 3.4
G.CO.12
Geo. 3.4
CC.9-12
G.GPE.5
Geo. 3.5
Geo. 3.6
I can construct parallel lines.
I can prove and apply theorems about
perpendicular lines.
I can construct perpendicular lines.
I can use slope to identify parallel and
perpendicular lines.
HIGHER LEVEL
QUESTIONS
NOTES/
ACTIVITIES
Geometry Lesson Plans
Chapter 9
Title: Rigid Transformations
DART STATEMENT…WHAT YOU
WILL BE ABLE TO DO AFTER EACH
LESSON
I can identify and draw reflections.
COMMON
CORE
STANDARDS
CC.9-12
G.CO.2,4-6
I can identify and draw translations.
CC.9-12
G.CO.2,4-6
ACT
G 607
G 407
SUGGESTED
HOMEWORK
HIGHER LEVEL
QUESTIONS
Geo. 9.1
How many reflections
does (can) it take to
return to the original
image?
Geo.9.2
How many translations
does (can) it take to
return to the original
image?
Geo. 9.3
How many rotations
does (can) it take to
return to the original
image?
Geo. 9.4
Is there a connection
between rotational
order and line
symmetry?
Geo. 9.4
Are there any
movements you can
make that CANNOT be
mapped by rigid
transformations?
I can identify and draw rotations.
I can identify and draw compositions
of transformations.
I can apply theorems about rigid
transformations. (isometries)
I can identify and describe symmetry
in geometric figures.
I can use transformations to draw
tessellations.
CC.9-12
G.CO.2,4-6
G 608, 512
CC.9-12
G.CO.2,4-6
G 407,
607, 608
CC.9-12
G.CO.2,4-6
G 705
CC.9-12
G.CO.2,3,5
G 502
CC.9-12
G.CO.2, 5
Questions of
the Exam
1-2
3-4
5-6,23
7-8,2022
9,1517,24
Geo. 9.5
10-11,18
Geo. 9.6
13,19
*Higher Order: Does order matter with compositional transformations? Why or why not?
Geometry Lesson Plans
Chapter 4/5
Title: Triangles and Congruence
DART STATEMENT…WHAT YOU
WILL BE ABLE TO DO AFTER EACH
LESSON
I can classify triangles by their angle
measures and side lengths.
I can use triangle classification to
find angle measures and side lengths.
I can find the measures of interior
and exterior angles of triangles.
I can apply theorems about the
interior and exterior angles of
triangles.
I can prove theorems about isosceles
and equilateral triangles.
I can apply properties of isosceles
and equilateral triangles.
COMMON
CORE
STANDARDS
CC.9-12
G.CO.10
CC.9-12
G.CO.10
CC.9-12
G.CO.10
CC.9-12
G.CO.10
CC.9-12
G.CO.10
CC.9-12
G.CO.10
I can use properties of congruent
triangles.
I can prove triangles congruent by
using the definition of congruence.
CC.9-12
G.SRT.5
I can apply SSS and SAS postulates
to construct triangles and solve
problems.
I can prove triangles are congruent
using SSS and SAS postulates.
CC.9-12
G.CO.7-8
S.SRT.5
CC.9-12
G.CO.7-8
S.SRT.5
I can apply ASA, AAS, and HL
postulates to construct triangles and
solve problems.
I can prove triangles are congruent
using ASA, AAS, and HL postulates.
I can use CPCTC to prove parts of
triangles are congruent.
I can apply inequalities in one triangle.
I can write and indirect proof.
I can apply inequalities in two
triangles.
CC.9-12
G.SRT.5
CC.9-12
G.CO.7-8
S.SRT.5
CC.9-12
G.CO.7-8
S.SRT.5
CC.9-12
G.SRT.5
G.MG.3
CC.9-12
G.CO.10
CC.9-12
G.CO.10
CC.9-12
G.CO.10
ACT
G 201
G 501
G 201
G 501
AF 302
G 501
G 201
G 402
G 501
G 508
G 705
G 501
G 508
A 302
G 602
F 706
G 705
SUGGESTED
HOMEWORK
Geo. 4.2
Geo. 4.2
Geo. 4.3
Geo. 4.3
Geo. 4.9
Geo. 4.9
Geo. 4.4
Geo. 4.4
HIGHER
LEVEL
QUESTIONS
Exam
Questions
1,22
2,15
3
4,15
7
9
8,9,10
11,12
G 405
G 705
Geo. 4.5
9,10,11,12,16,1
7,18
G 405
G 705
Geo. 4.5
9,10,11,12,16,1
7,18
F 706
G 405
G 705
Geo. 4.6
F 706
G 705
Geo. 4.6
G 405
G 705
Geo. 4.7
AF 502
G 705
F 706
G 705
F 706
G 705
9,10,11,12,16,1
7,18
9,10,11,12,16,1
7,18
13,14,16,17,18
Geo. 5.5
19,21
Geo. 5.5
23
Geo. 5.6
19,21
Geometry Lesson Plans
Chapter 7
Title: Similarity
DART STATEMENT…WHAT YOU
WILL BE ABLE TO DO AFTER EACH
LESSON
I can identify similar polygons.
I can apply properties of similar
polygons to solve problems.
I can identify and draw dilations in
the coordinate plane.
I can prove triangles are similar by
using AA, SSS, and SAS postulates.
I can use triangle similarity to solve
problems.
I can use properties of similar
triangles to fine segment lengths.
I can apply proportionality and
triangle angle bisector theorems.
I can use ratios to make indirect
measurements.
I can use scale drawings to solve
problems.
I can use coordinate proof to prove
figures congruent or similar.
I can divide a line segment into
partitions.
COMMON
CORE
STANDARDS
CC.9-12
G.SRT.2
G.MC.3
CC.9-12
G.SRT.2
G.MC.3
CC.9-12
G.CO.2
G.SRT.1
CC.9-12
G.SRT.2,3,5
CC.9-12
G.SRT.2,3,5
ACT
SUGGESTED
HOMEWORK
HIGHER LEVEL
QUESTIONS
Exam
Questions
1,15,16,19
G 201
N 503
A 402
Geo. 7.1
2,3,11,21
Geo. 7.1
4,5,6
G 704
G 703
G 512
Geo. 9.7
G 405
G 705
Geo. 7.3
N 303
F 701
Geo. 7.3
7
8,9
11,19
CC.9-12
G.SRT.2,4,5
CC.9-12
G.SRT.2,4,5
A 302
G 405
F 701
G 705
CC. 9-12
G.SRT.5
G 405
G 703
G 406
CC.9-12
G.SRT.5
G 502
G 703
G 406
CC.9-12
G.CO.2
G.GPE.4,7
G.SRT.1
G.MG.3
CC.9-12
G.GPE.6
G 405
G 705
G 406
AF 302
G 405
G 502
Geo. 7.4
10,20
Geo. 7.4
16
Geo. 7.5
12,13,17,18,23
Geo. 7.5
14,22
Geo. 7.6
Geo. 4.8
Geo. Pg.
515
20,21
Geometry Lesson Plans
Chapter 6
Title: Polygons and Quadrilaterals
DART STATEMENT…WHAT YOU
WILL BE ABLE TO DO AFTER EACH
LESSON
I can classify polygons based on their
sides an angles.
I can find and use the measures of
interior and exterior angles of
polygons.
I can prove and apply properties of
parallelograms.
I can use properties of parallelograms
to solve problems.
I can prove a polygon is a
parallelogram.
I can prove and apply properties of
rectangles, rhombuses, and squares.
COMMON
CORE
STANDARDS
ACT
CC.9-12
G.CO.11
G 202
G 303
CC.9-12
G.CO.11
SUGGESTED
HOMEWORK
G 303
G 502
CC.9-12
G.CO.11
G 202
G 301
CC.9-12
G.CO.11
G 202
G 301
CC.9-12
G.CO.11
G.GPE.12
G.MG.3
G 202
G 301
Geo. 6.1
2,3,16,17,20
Geo. 6.1
4,21,22
Geo. 6.2
5,6
Geo. 6.2
7,8,23,24
Geo. 6.3
9,22
G 605
I can use properties of rectangles,
rhombuses, and squares to solve
problems.
CC.9-12
G.CO.11
G 405
G 202
Geo. 6.4
I can prove that a given quadrilateral
is a rectangle, rhombus, or square.
CC.9-12
G.CO.11
G 605
G 202
G 406
Geo. 6.5
I can use properties of Trapezoids to
solve problems.
CC.9-12
G.SRT.5
CC.9-12
G.SRT.5
Test
Questions
1
CC.9-12
G.CO.11
I can use properties of Kites to solve
problems.
HIGHER LEVEL
QUESTIONS
A 302
G 406
A 302
Geo. 6.4
10,19
11,12
13
Geo. 6.6
14,15,18
Geo. 6.6
Geometry Lesson Plans
Chapter 5/8
Title: Right Triangle Trigonometry
DART STATEMENT…WHAT YOU
WILL BE ABLE TO DO AFTER EACH
LESSON
I can justify and apply properties of
special right triangles.
COMMON
CORE
STANDARDS
ACT
CC.9-12
G.SRT.6
G.508
G.602
CC.9-12
G.SRT.6
G.402
G.509
G.602
CC.9-12
G.SRT.6
G.508
G.509
G.604
CC.9-12
G.SRT.6
G.508
G.509
G.603
I can use trig. Ratios to find side
lengths in right triangles and to solve
real world problems.
CC.9-12
G.SRT.6
G.508
G.509
G.603
I can use trig. Ratios to find angle
measures in right triangles and to
solve real world problems.
CC.9-12
G.SRT.6
I can use geometric mean to find
segment lengths in right triangles.
I can apply similarity relationships in
right triangles to solve problems.
I can find sin, cos, and tan of an acute
angle.
I can solve problems involving angles
of elevation and depression.
SUGGESTED
HOMEWORK
HIGHER LEVEL
QUESTIONS
Exam
Questions
2,3,5
CC.9-12
G.SRT.8
G.508
G.509
G.602
G.508
G.509
G.510
Geo. 5.8
1,10,20
Geo. 8.1
9,14
Geo. 8.1
6,7,15,16
Geo. 8.2
11,13,18
Geo. 8.2
4,12,19
Geo. 8.3
8,17,21,22
Geo. 8.4
Geometry Lesson Plans
Chapter 11
Title: Volume
DART STATEMENT…WHAT YOU
WILL BE ABLE TO DO AFTER EACH
LESSON
I can understand how solids can be
produced by rotating a twodimensional figure through space.
COMMON
CORE
STANDARDS
ACT
SUGGESTED
HOMEWORK
HIGHER LEVEL
QUESTIONS
CC.9-12
G.GMD.4
G601
LTF
Solids of
Revolution
How would the solid
be different if the
axis of rotation
were horizontal or
vertical?
I can classify three-dimensional
figures according to their properties.
CC.9-12
G.GMD.4
G601
Geo. 11.1
I can use nets and cross sections to
analyze three-dimensional figures.
(find surface area)
CC.9-12
G.GMD.4
G601
Geo. 11.1
CC.9-12
G.GMD.3
G.MG.1-2
G601
Geo. 11.2
CC.9-12
G.GMD.3
G.MG.1-2
G601
Geo. 11.2
CC.9-12
G.GMD.3
G.MG.1
G601
Geo. 11.3
CC.9-12
G.GMD.3
G.MG.1
G601
Geo. 11.3
I can apply the formula for the
volume of a prism.
I can apply the formula for the
volume of a cylinder.
I can apply the formula for the
volume of a pyramid.
I can apply the formula for the
volume of a cone.
I can apply the formula for the
volume and surface area of a sphere.
I can describe the effect on
perimeter, area, and Volume when one
or more dimensions of a figure are
changed.
CC.9-12
G.GMD.3
G601
Geo. 11.4
CC.9-12
G.GPE.7
G601
Geo 10.5
Add Volume
Test
Questions
19
1,9
When is a cross
section of a 3D
solid congruent to
its base(s)?
How is the ratio of
the volumes of two
similar prisms
related to the ratio
of their
dimensions?
How is the ratio of
the volumes of two
similar cylinders
related to the ratio
of their
dimensions?
How do you find the
bae are of a
pyramid in yards
when given the area
in acres?
2,10,17,20
3,11,21,22,
23
4,12,18
5,13
6,14
How would you find
the volume/surface
area of a
hemisphere?
Do the radii of two
balls whose volumes
have a 2:1 ratio also
have a 2:1 ratio?
How do you know?
7,8,15,16,18
19
Geometry Lesson Plans
Chapter 12
Title: Circles
DART STATEMENT…WHAT YOU
WILL BE ABLE TO DO AFTER EACH
LESSON
I can identify tangents, secant, and
chords.
I can use properties of tangents to
solve problems.
COMMON
CORE
STANDARDS
CC.9-12
G.C.2
G.C.4
G.CO.12
CC.9-12
G.C.2
G.C.4
G.CO.12
SUGGESTED
HOMEWORK
HIGHER LEVEL
QUESTIONS
G405
Geo. 12.1
Explain the relationship
between a cord and a
diameter. How are they
alike/different?
G405
Geo. 12.1
ACT
I can apply properties of arcs.
I can apply properties of chords.
CC.9-12
G.C.2
G.CO.12
G405
Geo. 12.2
CC.9-12
G.C.2
G.CO.12
G405
Geo. 12.2
I can find the area of a sector.
Test
Questions
1
2,11
If two circles are not
congruent but their central
angles are congruent, do you
think their corresponding
arcs and chords would still be
congruent? Why/why not.
3
4,14
How could you calculate the
area of a sector by using
that area of the circle and
the percentage shaded by
the sector?
CC.9-12
G.C.5
G507
Geo. 12.3
I can find the length of an arc.
CC.9-12
G.C.5
G507
Geo. 12.3
6
I can find the measure of an
inscribed angle.
CC.9-12
G.C.2
G.CO.12-13
G405
Geo. 12.4
7
I can use properties of inscribed
angles to solve problems.
Can you assume any
relationship between the
adjacent angles of an
inscribed quadrilateral?
Why/why not.
How are tangent-secant
angles similar to those with
inscribed angels?
5,21
CC.9-12
G.C.2
G.CO.12-13
G405
Geo. 12.4
CC.9-12
G.C.2
G405
Geo. 12.5
I can use angle measures to solve
problems involving circles.
CC.9-12
G.C.2
G405
Geo. 12.5
9,17,19,
20
I can find the lengths of segments
formed by lines that intersect circles.
I can use the lengths of segments in
circles to solve problems.
I can write equations and graph
circles in the coordinate plane.
CC.9-12
G.C.2
CC.9-12
G.C.2
G405
Geo. 12.6
12,13
G405
Geo. 12.6
14,17,19
CC.9-12
G.GPE.1
G405
Geo. 12.7
I can use the equation and graph of a
circle to solve problems.
CC.9-12
G.GPE.1
G405
Geo. 12.7
I can find the measures of angles
formed by lines that intersect circles.
How is the distance formula
and the equation of a circle
related?
8
10
15,18
16
Geometry Lesson Plans
Chapter 10/13
Title: Probability
DART STATEMENT…WHAT YOU
WILL BE ABLE TO DO AFTER EACH
LESSON
I can calculate geometric
probabilities.
I can use geometric probability to
predict results in real-world
situations.
COMMON
CORE
STANDARDS
ACT
SUGGESTED
HOMEWORK
CC.9-12
S.CP.1
S403
Geo. 10.6
CC.9-12
S.CP.1
S403
Geo. 10.6
I can solve problems involving the
fundamental counting principle.
CC.9-12
S.CP.1
S405
Geo. 13.1
I can find the theoretical probability
of an event.
CC.9-12
S.MD.7
S305,
S403
Geo. 13.2
I can find the experimental
probability of an event.
CC.9-12
S.MD.7
S305,
S403
Geo. 13.2
CC.9-12
S.CP.3
S606
Geo. 13.3
CC.9-12
S.CP.3
S305,
S403
Geo. 13.3
CC.9-12
S.CP.4
S305
Geo. 13.4
I can determine whether events are
independent or dependent.
I can find the probability of
independent and dependent events.
I can construct and interpret two-way
frequency tables of data when two
categories are associated with each
object being classified.
HIGHER LEVEL
QUESTIONS
Test Questions
6,13
How does a ratio for
geometrical probability
relate to the definition
of theoretical
probability?
How else could you find
the total number of
choices?
How do you describe a
situation with a
probability of 1?
How is experimental
probability different
from theoretical?
Why is the probability
of dependent events
different from the
probability of
independent events?
Is the probability of B
given A the same as
the probability of A
given B?
3
5,7,14
4,
8,9,10,11,12
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communicate with me is through e-mail.
E-mail:
[email protected]
Phone # and Extension:
606-862-5580
6523