Geometry
Beechwood High School, 2015-16
Ms. Stacey Brand,
room 12
stacey.brand@beechwood.kyschools.us
859-331-1220, ext. 6012
Webpage: http://www.beechwood.kyschools.us/webpages/sbrand/
Planning Period: 2
ndhour (9:15am – 10:15am)
Course Description:
Geometry is the branch of mathematics that deals with the deduction of the properties,
measurement, and relationships of points, lines, angles, and figures in space from their defining conditions by means of certain assumed properties of space. This course is designed so the students can develop skills and concepts from the relevant statements in the Kentucky Core Academic Standards for Mathematics in order to earn the high school graduation credit for Geometry. Content includes congruence, proof, constructions, similarity, trigonometry, extending to three-dimensions, connecting algebra and geometry through coordinates, circles, and applications of probability. The pre-requisite for this course is successful completion of Algebra I.
Course Content:
(as defined by the Kentucky Core Academic Standards)
Unit #1:
Congruence, Proof, and Constructions
(Chapters 1 – 6)
We will experiment with transformations in the plane, understand congruence in terms of rigid motion, begin proving geometric theorems and make many geometry constructions.
Unit #2:
Similarity, Proof, and Trigonometry
(Chapters 7 – 8)
We will understand similarity in terms of transformations, prove theorems involving similarity, define trigonometric ratios, apply geometric concepts in modeling situations, and solve problems using trigonometric ratios (in right and non-right triangles).
Unit #3:
Extending to Three Dimensions
(Chapters 10 – 11)
We will explain volume formulas and use them to solve problems, visualize the relationship
between two-dimensional and three-dimensional objects, and apply geometric concepts in modeling situations.
Unit #4:
Connecting Algebra and Geometry through Coordinates
(Sections 1.8,
1.9, 3.6, 3.7, 6.6, 6.7)
We will use coordinates to prove simple geometric theorems algebraically and translate between the geometric description and the equation for a conic section (parabola).
Unit #5:
Circles With and Without Coordinates
(Chapter 12 and Sections 6.6, 6.7,
10.6)
We will understand and apply theorems about circles, find arc lengths and areas of sectors of circles, translate between the geometric description and the equation for a conic section (circle), use
coordinates to prove simple geometric theorems algebraically, and apply geometric concepts in modeling situations.
Unit #6:
Applications of Probability
(Section 10.8 and supplemental materials)
We will understand independence and conditional probability and use them to interpret data, use the rules of probability to compute probabilities of compound events in a uniform probability model, and use probability to evaluate outcomes of decisions.
Course Outline:
First Quarter:
Tools of Geometry (Chapter 1)
• Patterns and Inductive Reasoning • Drawings, Nets, and Other Models • Space Figures and Cross Sections • Points, Lines, and Planes
• Segments, Rays, Parallel Lines, and Planes • Measuring Segments and Angles
• Basic Constructions • The Coordinate Plane
• Perimeter, Circumference, and Area • Introduction to Linear Regression
Parallel and Perpendicular Lines (Chapter 3)
• Properties of Parallel Lines• Proving Lines Parallel
• Properties of Perpendicular Lines • The Polygon-Angle Sum Theorem • Lines in the Coordinate Plane
• Constructing Parallel and Perpendicular Lines • Slopes of Parallel and Perpendicular Lines
Reasoning and Proof (Chapter 2)
• Conditional, Converse, Inverse, and Contrapositive Statements • Biconditionals and Definitions
• Deductive Reasoning • Algebraic Reasoning • Proving Angles Congruent
Second Quarter:
Congruent Triangles (Chapter 4)
• Properties of Congruent Figures• Triangle Congruence by SSS, SAS, ASA, AAS, HL • Using Properties of Congruent Triangles
• Isosceles Triangles and Equilateral Triangles
• Using Corresponding Parts of Congruent Triangles (CPCTC) • Geometric Proofs
• Probability
Relationships Within Triangles (Chapter 5)
• Midsegments of Triangles• Concurrent Lines, Medians, and Altitudes • Inequalities in Triangles
• Applying Theorems about Triangles
Quadrilaterals (Chapter 6)
• Classifying Quadrilaterals
• Properties of Parallelograms, Rectangles, Squares, Rhombuses, Trapezoids, and Kites • Placing Figures in the Coordinate Plane
• Proofs Using the Coordinate Plane • Interpreting Data
Third Quarter:
Transformations (Chapter 9)
• Translations, Reflections, Rotations, and Dilations • Symmetry
• Composition of Transformations • Cyclic and Dihedral Figures • Tessellations
• Frieze Patterns
• Introduction to Vectors and Matrices
Similarity (Chapter 7)
• Ratios and Proportions • Similar Polygons
• Proving Triangles Similar • Similarity in Right Triangles • Proportions in Triangles
• Accuracy and Precision in Measuring • Simplifying Radicals
Right Triangles and Trigonometry (Chapter 8)
• The Pythagorean Theorem• Special Right Triangles
• Trigonometric Ratios (Sine, Cosine, and Tangent) • Angles of Elevation and Depression
• Vectors
Fourth Quarter:
Circles (Chapter 12)
• Tangent Lines • Chords and Arcs • Inscribed Angles• Angle Measures and Segment Lengths • Circles in the Coordinate Plane
• Locus
Area, Surface Area, and Volume (Chapters 10-11)
• Areas of Parallelograms, Triangles, Trapezoids, Rhombuses, and Kites • Areas of Regular Polygons
• Trigonometry and Area • Circles and Arcs
• Areas of Circles and Sectors • Geometric Probability
• Surface Area of Prisms and Cylinders • Surface Area of Pyramids and Cones • Volume of Prisms and Pyramids • Volume of Pyramids and Cones • Surface Area and Volume of Spheres • Areas and Volumes of Similar Figures
**The instructor reserves the right to make modifications to the course outline as needed.
Textbook/Online Resource:
Primary Textbook
(A set of the primary textbooks is kept in the classroom.)
Kennedy, Dan, Randall I. Charles, Basia Hall, Laurie E. Bass, and Art Johnson. Geometry. Upper Saddle River: Pearson Education, 2009. Print.
The primary textbook and support materials are also available online at www.pearsonsuccessnet.com.
Supplies:
Pencil (all work must be completed in pencil)
Scientific Calculator (please see me before purchasing a new calculator) 3-subject spiral notebook
2-pocket folder
Online Textbook Enrollment
Go to
www.pearsonsuccessnet.com
and enter the class access code:
2F29072E47E9955EFA11
Ms. Brand, 1 - Geometry (1st)
When you enroll, type the access code exactly as shown above.
Use all uppercase letters, and include dashes.
Record your information below:
User Name: ___________________________________
Password: _____________________________________
Be sure to do this by
Wednesday, August 26, 2015
Within the first week of school, you will receive a construction tool set to keep for the year
(compass, ruler, and protractor). You may leave the set in the classroom or take it with you each day. It is your responsibility to keep the tools in good working order, as we will need them
throughout the year for various units of study.
Items such as colored pencils, markers, scissors, tracing paper, graph paper, plain white paper, glue sticks, and tape will be provided for use in class as needed. Additional supplies may be required for projects.
Responsibilities/Expectations:
Overall, it is the responsibility of both the teacher and student to be prepared, respectful, involved, dependable, and ethical. Your active participation is necessary to the success of this class. Each day I ask you to take “PRIDE” in your work, behavior, and attitude and we will have a very successful year!
The students shall:
• Be prepared by bringing appropriate materials and a positive attitude to class every day. • Be respectful by treating people and their property the way you would like to be treated. • Be involved by actively listening and participating in class in a mature manner.
• Be dependable by regularly attending class, taking notes and completing assignments. • Be ethical by doing your own work and being honest.
The teacher shall:
• Be prepared by having all needed materials and a positive attitude every day. • Be respectful by valuing the students’ work and effort on all assignments.
• Be involved by actively listening to students’ needs and addressing those issues.
• Be dependable by grading assignments and tests promptly and doing what I say I will do. • Be ethical by being honest and trustworthy.
Please refer to the Beechwood High School Student/Parent and Code of Conduct Handbook for additional information on the school code of conduct and academic course of studies. I will strictly enforce all school policies and will hold you accountable for any breech of your responsibilities.
Assignments/Grading Policy:
Your final grade is made up of grades on daily assignments, quizzes, tests, and projects. Each item will be given a certain point value and you can determine your grade at any time by dividing the number of points that you have earned by the number of points possible. Infinite Campus will be updated regularly with that information as well.
Daily Assignments
You will have an assignment of some kind most every day. Daily homework assignments are
worth 5-10 points each. You will be awarded all of the points if you have completed the assignment and have shown an effort to give thoughtful answers to all questions asked. If this is not the case, you will receive a 0 for the assignment. Please be prepared to show your work and/or demonstrate your understanding of the practice problems every day. Late work may be accepted, but only within the current unit of study for which the work was assigned and a letter grade deduction will be given for each day the assignment is late.
As a rule, I do not give extra credit assignments, regardless of the situation. Your best course of action is to complete assignments on time and to the best of your ability, therefore not needing “extra credit.”
Each week, the daily assignments will be posted in the classroom and on the newsletter portion of Infinite Campus. Remember, it is your responsibility to keep track of your assignments and any important due dates.
Quizzes/Tests
You will have a test at the conclusion of each chapter or unit (generally 100 points each). Some
tests will be traditional (multiple choice, short answer, etc.) while others will be more project-based. Project-based tests will be discussed in detail several days in advance of the due date and may
require additional materials (if they are not provided in class). Quizzes may be announced and will
vary in size and value (generally not exceeding 50 points). The grading scale is as follows:
A 92-100 B 84 – 91 C 76 – 83 D 70 – 75 F below 70
Make-up Homework
It is your responsibility to get your assignments when you are absent. I will save a copy of any worksheet and/or handout for you if you are absent. You can find those papers in the ABSENT BOX in the back of the room (filed under your class period). You will have one day for each day
absent to make-up your missed work due to an excused absence.
Make-up Tests/Quizzes
Make-up tests are given before or after school at the teacher’s discretion. Make-up quizzes can be completed at various times: before or after school or during class (if time allows). All make-up tests and quizzes must be completed within the nine-week grading period in which the original test or quiz was given. Otherwise, the grade will be recorded as a zero.
Additional Questions/Concerns?
If you need any additional help or have questions about anything throughout the year, please e-mail me or see me during my planning period(2nd period), before or after school. For additional help
with homework or test preparation, please check with me to see when I may be available before or after school. Some days may be better than others.
