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Geometry Honors
[email protected]
Mrs. Sgaramella
Room 400
973-325-7737 x 5060
Requirements for Class
Arrive to class on time with your textbooks, pens/pencils, completed homework,
notebook, and calculator. Students may find that having a small protractor/ruler is
helpful.
Homework
Homework will be assigned after each section. Students will complete the assignment,
check answers in book or online, and bring all questions to the next class. Students will
be given the opportunity at the beginning of every class to ask questions on the
homework assignment due that day. It is the student’s responsibility to complete all
homework. Homework will be collected each day and 1-point of extra credit is given for
completed assignments; no deduction is made for assignments not turned in. Students
who are absent may turn the assignment in when he returns. Assignments will not be
accepted late for any reason, other than absence. Accumulated points will be added to
the sum of all points the student has earned in that trimester.
Missed Work
Students absent for a test or quiz should be prepared to make it up during the first activity
period following his return. Students with extended absences should make arrangements
with the teacher upon his return to school.
Quizzes
There will be quizzes given on material that is taught in class and assigned for
homework. Quizzes will always be announced and will be worth 50 points. Quizzes will
not take the entire period, so students should come to class prepared for a lesson.
Tests
Tests will be given at the end of each chapter, possibly more frequently for longer
chapters. Tests will always be announced and will be worth 100 points. Students can
expect between 3 and 5 tests per trimester.
Trimester exams at the end of the first two trimesters will be cumulative exams
containing material from the trimester in which it is given and worth 200 points. The
final exam in June will be on material from the third trimester and counts as 1/7 of the
final grade.
Help Class – Room 400
Tuesday and Thursday during the activity periods, Monday after school, or by
appointment
“The only bad questions are the ones you don’t ask”
Course Description:
 Geometry Honors is a course in Euclidean Geometry with an introduction to Coordinate
Geometry and includes some review of Elementary Algebra. Students encounter the
geometry they need for both further study of mathematics and for the Scholastic Aptitude
Test. Students also encounter the idea of a two column deductive proof - first to be able to
follow one, then to be able to construct one. Geometry offers a considerable base of
necessary factual knowledge and the opportunity to develop analytical thinking.
Instructional Methods:
 Discovery
 Lecture With Discussion
 Demonstration
 Small Group Work
Text(s)/Materials for Course:
 Textbook: Geometry – Jurgensen, Brown, Jurgensen. McDougal Littell 1990-2000 edition.
ISBN-13 978-0-395-97727
Evaluation Methods:
 The student’s performance on homework, quizzes, and tests will determine his grades.
TOPICAL OUTLINE
Full Year
Topic
Chapter 1
Points, Lines, Planes, and
Angles
Sections 2,3,4,5
Chapter 2
Deductive Reasoning
Sections 1,2,3,4,5,6
Chapter 3
Parallel Lines and Planes
Sections 1,2,3,4,5
(skip 6)
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Chapter 4
Congruent Triangles
Sections 1,2,3,4,5,7
(skip 6)
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Chapter 5
Quadrilaterals
Sections 1,2,3,4,5
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Chapter 6
Inequalities in Geometry
Sections 4,5
(skip 1,2,3)
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Curriculum Objective
Use the term equidistant
Use the undefined terms point, line, plane
Draw representations of points, lines, and planes
Use the terms collinear, coplanar, intersection
State the converse of an in-then statement
Use a counterexample to disprove an if-then statement
Understand the meaning of if and only if
Use properties from algebra and properties of congruence in
proofs
Use the Midpoint and Angle Bisector Theorems
Know the kinds of reasons that can be used in proofs
Applying Parallel Lines to Polygons
Distinguish between intersecting lines, parallel lines, and
skew lines
State and apply the theorem about the intersection of two
parallel planes by a third plane
Identify the angles formed when two lines are cut by a
transversal
State and apply the postulates and theorems about parallel
lines
State and apply the theorems about parallel and
perpendicular to a given line through a point not on that line
Identify the corresponding parts of congruent figures
Prove two triangles congruent by using the SSS, the SAS, or
the ASA postulate
Deduct information about segments and angles after proving
that two triangles are congruent
Apply the definition of a parallelogram and the theorems
about properties of a parallelogram.
Prove that certain quadrilaterals are parallelograms.
Apply theorems about parallel lines and the segment that
joins the midpoints of two sides of a triangle.
Apply properties of inequality to positive numbers, lengths
of segments and measures of angles
The Triangle Inequality Theorem
Chapter 7
Similar Polygons
1,2,3,4,5, 6, 7
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Express a ratio in simplest form
Solve for an unknown term in a given proportion
Express a given proportion in an equivalent form
State and apply the properties of similar polygons
Chapter 8
Right Triangles
Sections 1,2,3,4,5,6
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Determine the geometric mean and Pythagorean Theorem
The altitude drawn to the hypotenuse of a right triangle
Determine the lengths of two sides of a 45-45-90 or a 30-6090 triangle when the length of the third side is known.
Determine the Sine, Cosine and Tangent of an angle
Define a circle, a sphere, and terms related to them
Recognize circumscribed and inscribed polygons and circles
Apply theorems that relate tangents and radii
Define and apply properties of arcs and central angles
Apply theorems about the chords of a circle
Chapter 9
Circles
Sections 1,2,3,4,5,6,7
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Chapter 11
Areas of Plane Figures
Sections 1,2,3,4,5,6,7
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Understand what is meant by the area of a polygon
Understand the area postulates
Know and use the formulas for the areas of rectangles,
parallelograms, triangles, rhombuses, trapezoids, and regular
polygons
Chapter 12
Areas and Volumes of Solids
Sections 1,2,3,4, 5
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Identify the parts of prisms, pyramids, cylinders, and cones
Given the formulas, find the lateral areas, total areas, and
volumes of right prisms and regular pyramids, right
cylinders and right cones
Given the formulas, find the area & Volume of a sphere
State and apply the distance formula
State and apply the general equation of a circle
State and apply the slope formula
Determine whether two lines are parallel, perpendicular, or
neither
State and apply the midpoint formula
Translate diagrams using reflections, transitions, glides,
rotations, dilations and symmetry
Chapter 13
Coordinate Geometry
Sections 1,2,3,5,6,7
(skip 4,8,9)
Chapter 14
Transformations
Sections 1,2,3,4, 5
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