Course Description:
Geometry is designed to teach students logical thinking. The ability to apply known information to novel problems in a valid way is as important as the geometrical concepts covered. The class is very challenging but great fun. Geometry progresses at a very fast pace covering the greatest breath and depth of topics. Students are expected to master the skills and thoroughly understand the concepts covered in the course. They are expected to retain this knoweldge, which will generally not be reviewed in the course. Mathematical concepts are often introduced at an abstract and theoretical level. New ideas are often developed through student investigation with guidance from the teacher. Students will be expected to apply their knowledge to openended and nonroutine problems. Students will sometimes be expected to learn material by reading the textbook and/or solving problems on their own. Students are expected to be highly selfmotivated, taking the fullest responsibility for their own learning and seeking help when needed.
Informal Geometry
Informal Geometry is a course designed to develop the geometric knowledge that can be used to solve a variety of realworld and mathematical problems. Geometric relationships are developed inductively, with handson activities. This course does not include formal deductive proofs. The content will include, but not be limited
to, geometric constructions, terminology and fundamental properties of geometry, coordinate geometry and graphing of linear functions and inequalities, inductive reasoning and informal proof, introduction to deductive reasoning, measurement of plane and solid figures, including perimeter, area, volume, and applications of the
Pythagorean Theorem, exploration and application of geometric relationships including parallelism, perpendicularity, congruence, and similarity, and symmetry and transformations, including flips, turns, and slides.
Geometry
Geometry is a course designed to develop the geometric relationships and deductive strategies that can be used to solve a variety of real world and mathematics problems. The content will include, but not be limited to, geometric constructions, terminology and fundamental properties of geometry, deductive and inductive
reasoning and their application to formal and informal proof, formulas pertaining to the measurement of plane and solid figures, coordinate geometry and transformations on the coordinate plane, exploration of geometric relationships such as parallelism, perpendicularly, congruence, and similarity, properties of circles,
and right triangle trigonometry.
Behavioral Expectations
The teacher plays a role in learning but ultimately, you are responsible for the quality of your education. In order to maximize your learning experience, ask yourself the following questions:
 Do you attend classes on a regular basis?
 Are you on time to class?
 Are you prepared for class  pencil/pen, notebook, calculator?
 Do you do your homework everyday?
 Do you pay attention in class, participate in discussions and ask relevant questions?
 Do you treat all other students with respect and allow for open educational debate?
 If you are absent, do you make an effort to find out what was covered and make up the work?
 Do you seek extrahelp as soon as possible if you did not understand something in class?
 If you miss a test, do you take the initiative to arrange a makeup?
These are the behaviors that make for a good student and a good learning environment. You are expected to be such a student.
Atlantic Technical Center and Technical High School
Mr. PEACOCK
Informal Geometry/Geometry Class Rules and Procedures
Office: Room 2437
Tutoring: Mon., Tue., & Thurs. after school by appointment
Phone: 7543215300
Required:
• Textbook: Glencoe Geometry.
• Math Notebooks: 3 notebooks total – two spiral notebooks (one for class notes and one for homework) and one 1.5 inch three ring binder notebook (for vocabulary, theorems and postulates). Required for class everyday.
The class notes notebook will be maintained as follows;
1. Heading on the top of each page, front and back. Heading shall include the lecture topic, name, period and date.
2. Notes will contain all lecture notes given during class, including worked examples and student problems worked during class.
3. Notes will be divided by chapter. Chapters will be separated by dividers or a blank page.
4. When absent, students are responsible for obtaining missed notes. All class notes are given as PowerPoint lectures and are available on my web site.
5. Class notes notebook will graded by chapter. The notebook will be collected the day of each chapter test.
The homework notebook will be maintained as follows;
1. Heading on the top of the first page of an assignment. Heading shall include assignment section number, problems assigned, name, period and date.
2. Show all work to receive credit for homework assignments. Work must be neat and organized.
3. Homework will be checked daily at the beginning of class during the daily quiz.
The Vocabulary/Theorems notebook (3 ring binder) will be maintained as follows;
1. Divide into 3 sections with labeled dividers. One each for Vocabulary, Theorems and Postulates.
2. Each vocabulary word, theorem, or postulate will be defined and an example given, including a diagram.
3. The vocabulary/theorem notebook will be collected the day of each chapter test and be graded for extra credit on the test.
• Supplies: Items that you need and should bring with you everyday.
1. Scientific calculator with sin, cos, and tan keys or graphing calculator.
2. Compass (available in class, will need one at home).
3. Protractor (available in class, will need one at home).
4. Small ruler (if your compass does not have a ruler).
• Students are required to bring their notebooks and calculator to class each day. Failure to do so will affect your ability to complete this course satisfactorily.
• Students are responsible for all material presented in class (whether present or not), including announcements about changes in course procedures.
Attendance:
This course is fastpaced and demanding. One topic builds on another. Daily participation is a must. You are responsible for all material presented in class, present or absent, including announcements about course procedures. Exams, quizzes, and homework may include questions on material presented only in class, so performance on these indirectly reflects attendance. I do not reteach previous lessons. If you are absent, it is your responsibility to review the material covered, complete the assignments missed and if you require additional help attend tutoring after school. Tardies – IAW ATC student handbook.
Evaluation:
Test and quizzes may contain True/false, multiple choice, matching, and/or free response questions. You must show all work, neatly and organized, or give an explanation to receive credit for all free response questions. All work in this course most be your own work IAW the student honor code.
• Test: Chapter tests and/or projects are 60% of total grade. Books and /or notes are not allowed to be used at anytime during a test. Violation of the student honor code will be handled IAW the ATC Student Handbook.
• Daily Quiz: Daily quizzes are 10% of total grade. Each daily quiz will contain 4 questions and be graded as follows: 4 correct 100, 3 correct  85, 2 correct  70, 1 correct  50. Normally, a daily quiz will be given during the first 10 minutes of class. Additional quizzes may also be given at times. Daily quizzes missed due to excused absences will not be made up and will not count towards final grade. Daily quizzes missed due to unexcused absences or tardies will be assigned a grade of zero.
• Homework: Homework is 15% of total grade. Homework will be checked daily during the first 510 minutes of class while the daily quiz is being taken. All work must be shown to receive credit, answers only will receive no credit. All work must be neat and organized. Full credit for a homework assignment is 2 points. Partially completed homework will receive half credit, 1 point. No late homework will be accepted. Homework will normally be given every class period.
• Notebook: Class Notes Notebook is 15% of total grade. Notebook will be graded IAW the Notes Grading Rubric on a scale of 0 to 20. Late notebooks will be graded IAW the ATC student handbook.
• Course grades: A: 100–90 B+: 8987 B: 8680 C+:7977 C: 7670 D+: 6967
D: 6660 F: 590.
• Makeup work: All makeup homework will be completed in accordance with the student handbook. However, previously assigned work is due the day of return. Makeup homework will be presented during the normal homework check upon your return to class. Makeup tests will be completed in class on the day of return to class. Makeup tests and homework not completed within the required time period will be assigned a grade of zero. Quizzes missed due to excused absence are not made up and do not count toward the final grade.
• Extra Credit: Up to 10 points extra credit is available on each chapter test for your vocabulary/theorem notebook. The vocabulary/theorem notebook is graded on completeness, legibility, and neatness.
Restroom Passes:
Restroom passes are only to be used for their stated purpose and should normally take
about 5 minutes. Only one person at a time will be allowed to go to the restroom. A restroom
pass will be posted, just go and return the pass. You do not have to ask permission. Restroom
passes are a privilege. If a student abuses their restroom privileges, then they lose them.
Electronic Devices:
IAW the student code of conduct and ATC student handbook, forbidden devices (including,
but not limited to laptops, iPods, mp3 players and cell phones not turned off and out of sight) will
be confiscated. Warnings will not be given.
Classroom Rules:
#1 Be prepared for class.
#2 Do not disrupt the class (talking, horseplay, joking around, etc.).
#3 Remain in assigned seat.
#4 Participate in all class activates (note taking, working problems, etc.).
#4Class starts and ends IAW the bell schedule.
Consequences of breaking the above rules are IAW the ATC student handbook.
Informal Geometry/Geometry Course Pacing Guide
Days

Essential Questions

Skills

Chapter/Sections

Assessment

10

What are the basics of Geometry?
Why are patterns important to making predictions?

• Find patterns and use them to make predictions
• Use inductive reasoning to make conjectures
• Use postulates and undefined terms
• Sketch simple figures and their intersections
• Measure segments.
• Add segment lengths
• Measure and classify angles
• Add angle measures

Chapter 1
11 Finding and Describing Patterns
12 Inductive Reasoning
13 Points, Lines, and Planes
14 Sketching Intersections
15 Segments and Their Measures
16 Angles and Their Measures

Homework Assignments
Daily Quiz
Note Taking
Chapter 1 Test

10

Why are theorems important in geometry?
What types of angles can be formed?

• Bisect a segment
• Find the coordinates of the midpoint of a
segment
• Bisect an angle.
• Find measures of complementary and supplementary angles
• Find the measures of angles formed by intersecting lines
• Use properties of equality and
congruence

Chapter 2
21 Segment Bisectors
22 Angle Bisectors
23 Complementary and Supplementary Angles
24 Vertical Angles
26 Properties of Equality and Congruence

Homework Assignments
Daily Quiz
Note Taking
Chapter 2 Test

13

What are the two
most important relationships between pairs of lines?
What are the
properties of
parallel and perpendicular lines?

• Identify relationships between lines
• Use theorems about perpendicular lines
• Identify angles formed by transversals
• Find the congruent angle formed when a
transversal cut parallel lines
• Show that two lines are parallel
• Construct parallel and perpendicular lines
• Use properties of parallel and perpendicular lines
• Identify and use translations
• Identify and use reflections and lines of symmetry
• Identify rotations and rotational
symmetry

Chapter 3
31 Relationships Between Lines
32 Theorems About Perpendicular Lines
33 Angles Formed by Transversals
34 Parallel Lines and Transversals
35 Showing Lines are Parallel
36 Using Perpendicular and Parallel
Lines
37 Translations
57 Reflections and 118 Symmetry
Rotations

Homework Assignments
Daily Quiz
Note Taking
Chapter 3 Test

12

How are triangles classified?
How is the distance
formula used?
What is the use of
the Pythagorean Theorem?

• Classify triangle by their sides and their
angles
• Find angle measures in triangles
• Use properties of isosceles and equilateral triangles
• Simplify square roots
• Use the Pythagorean theorem and the distance formula
• Use the converse of the Pythagorean theorem
• Use side lengths to classify triangles
• Identify medians in triangles
• Use triangle measurements to decide which side is longest and which angle is largest

Chapter 4
41 Classifying Triangles
42 Angle Measures of Triangles
43 Isosceles and Equilateral Triangles
101 Simplifying Square Roots
44 The Pythagorean Theorem and the Distance Formula
45 The Converse of the Pythagorean Theorem
46 Medians of a Triangle
47 Triangle Inequalities

Homework Assignments
Daily Quiz
Note Taking
Chapter 4 Test

10

How does the
important property of congruence relate to triangles?
How can you identify the corresponding parts of congruent triangles?

• Identify congruent triangles and
congruent parts
• Show triangles are congruent using SSS and SAS
• Show triangles are congruent using ASA and AAS
• Use the HL congruence theorem and summarize congruence postulates and theorems
• Show corresponding parts of congruent triangles are congruent
• Use angle bisectors and perpendicular bisectors

Chapter 5
51 Congruence and Triangles
52 Proving Triangles are Congruent:
SSS and SAS
53 Proving Triangles are Congruent:
ASA and AAS
54 HypotenuseLeg Congruence Theorem: HL
55 Using Congruent Triangles
56 Angle Bisectors and Perpendicular
Bisectors

Homework Assignments
Daily Quiz
Note Taking
Chapter 5 Test

10

How do you identify a given quadrilaterals?
What are the properties of a quadrilateral?
How do you identify a special quadrilateral?

• Identify and classify polygons
• Find angle measures of quadrilaterals
• Use properties of parallelograms
• Show that a quadrilateral is a
parallelogram

Chapter 6
61 Polygons
62 Properties of Parallelograms
63 Showing Quadrilaterals are Parallelograms
64 Rhombuses, Rectangles, and Squares
65 Trapezoids
66 Reasoning About Special Quadrilaterals

Homework Assignments
Daily Quiz
Note Taking
Chapter 6 Test

10

How are ratios and
proportions used in problem solving?
How do you determine if
polygons are similar?
How does similarity apply to triangles?

• Use ratios and proportions
• Identify similar polygons
• Show that two triangles are similar using the AA similarity postulate
• Show that two triangles are similar using the SSS and SAS similarity theorems
• Use the triangle proportionality theorem and its converse
• Identify and draw dilations

Chapter 7
71 Ratio and Proportion
72 Similar Polygons
73 Showing Triangles are Similar: AA
74 Showing Triangles are Similar: SSS and SAS
75 Proportions and Similar Triangles
76 Dilations

Homework Assignments
Daily Quiz
Note Taking
Chapter 7 Test

15

What are the tools of geometry?
What is a geometric construction?
How is a geometric construction done?

• Introduce the rules of geometric constructions.
• Construction methods to duplicate a segment, an angle, and a polygon.
• Methods for constructing perpendicular bisectors, midpoints of line segments, the perpendicular through a point to a line, angle bisectors, and parallel lines.
• Explore how to construct special angles.
• Explore points of concurrency of angle bisectors, perpendicular bisectors, altitudes of a triangle, and medians.
• Distinguish constructions from sketches and drawings.

Constructions Chapter
1 Duplicating Segments and Angles
2 Constructing Perpendicular Bisectors
3 Constructing Perpendiculars to a Line
4 Constructing Angle Bisectors
5 Constructing Parallel Lines
6 Construction Problems
7 Constructing Points of Concurrency
8 The Centroid

Homework Assignments
Daily Quiz
Note Taking
Construction Test

11

How can you find the measures of the
angles in a polygon?
How can you find the area of
quadrilaterals?
How are
circumference and
area of circles
applied?

• Describe polygons
• Find the measures of interior and
exterior angles of polygons
• Find the area of squares and rectangles
• Find the area of triangles
• Find the area of parallelograms
• Find the area of trapezoids
• Find the circumference and area of
circles

Chapter 8
81 Classifying Polygons
82 Angles in Polygons
83 Area of Squares and Rectangles
84 Area of Triangles
85 Area of Parallelograms
86 Area of Trapezoids
87 Circumference and Area of Circles

Homework Assignments
Daily Quiz
Note Taking
Chapter 8 Test

10

How can you name and identify a solid
figure?
What do you need to do to find the surface and volume of solids?

• Identify and name solid figures
• Find the surface areas of prisms and cylinders
• Find the surface area of pyramids and
cones
• Find the volumes of prisms and cylinders
• Find the volumes of pyramids and cones
• Find surface area and volumes of
spheres

Chapter 9
91 Solid Figures
92 Surface Area of Prisms and
Cylinders
93 Surface Area of Pyramids and Cones
94 Volume of Prisms and Cylinders
95 Volume of Pyramids and Cones
96 Surface Area and Volume of Spheres

Homework Assignments
Daily Quiz
Note Taking
Chapter 9 Test

10

How do you apply the properties of the
special right triangles and the right triangle ratios to solve problems?

• Find the side lengths of 45°45°90°
triangles
• Find the side lengths of 30°60°90°
triangles
• Find the tangent of an acute angle
• Find the sine and cosine of an acute
angle

Chapter 10
102 45°45°90°
Triangles
103 30°60°90°
Triangles
10.4 Tangent Ratio
10.5 Sine and Cosine Ratios

Homework Assignments
Daily Quiz
Note Taking
Chapter 10 Test

11

What are the parts of the circle?
How do you apply the properties of circles?

• Identify segments and lines related to circles
• Use properties of a tangent to a circle
• Use properties of arcs of circles
• Use properties of chords of circles

Chapter 11
111 Parts of a Circle
112 Properties of Tangents
113 Arcs and Central Angles
114 Arcs and Chords
115 Inscribed Angles and Polygons

Homework Assignments
Daily Quiz
Note Taking
Chapter 11 Test

15

What are the basic methods of reasoning?
How is a 2column proof written?

• Make conjectures and find counterexamples
• Determine truth values of conjunctions and disjunctions
• Construct truth tables
• Analyze statements in ifthen form
• Write the converse, inverse and contrapositive of ifthen statements
• Use the laws of Detachment and
Syllogism
• Identify and use basic postulates about points, lines, and planes
• Write paragraph proofs
• Use algebra to write twocolumn proofs
• Use properties of equality in geometry proofs
• Write proofs involving segment addition, segment congruence, supplementary and complementary angles, and congruent and right angles

Deductive Reasoning and Proofs Chapter
1Inductive Reasoning and Conjecture
2 Logic
3 Conditional Statements
4 Deductive Reasoning
5 Postulates and Paragraph Proofs
6 Algebraic Proof
7 Proving Segment Relationships
8 Proving Angle Relationships

Homework Assignments
Daily Quiz
Note Taking
Deductive Reasoning and Proofs Test

15

What is the Geometry EOC?
How does the geometry EOC effect may final grade?


Review for Geometry EOC

Homework Assignments
Daily Quiz
Note Taking
Practice Geometry EOC exams

15



After EOC review Algebra I topics for Algebra II

Homework Assignments
Quizzes

Geometry is about spatial relationships and glistening shapes that span dimensions. It’s the Silly Putty of mathematics.
~ Clifford Pickover
