Hon Geom Syllabus

Honors Geometry Syllabus

Mrs. Linda Howse

E-mail:  lhowse@cullmancats.net

I.                   Topics to be covered in Honors Geometry

A.    Chapter 1 – points, lines, planes, linear measure and precision, distance and midpoints, angle measure, angle relationships, polygons

B.     Chapter 2 – inductive reasoning and conjecture, logic, conditional statements, deductive reasoning, postulates and paragraph proofs, algebraic proof, proving segment relationships, proving angle relationships

C.     Chapter 3 – parallel lines and transversals, angles and parallel lines, slopes of lines, equations of lines, proving lines parallel, perpendiculars and distance

D.    Chapter 4 – classifying triangles, angles of triangles, congruent triangles, proving congruence—SSS, SAS, ASA, AAS, isosceles triangles, triangles and coordinate proof

E.     Chapter 5 – bisectors, medians, altitudes; inequalities and triangles; indirect proof; triangle inequality; inequalities involving two triangles

F.      Chapter 6 – proportions, similar polygons, similar triangles, parallel lines and proportional parts, parts of similar triangles, fractals and self-similarity

G.    Chapter 7 – geometric mean, Pythagorean Theorem and its converse, special right triangles, trigonometry, angle of elevation and depression, Law of Sines, and Law of Cosines

H.    Chapter 8 – angles of polygons, parallelograms, rectangles, rhombi and square, trapezoids, coordinate proofs

I.       Chapter 9 – reflections, translations, rotations, tessellations, dilations, vectors

J.       Chapter 10 – circles and circumference, angles and arcs, arcs and chords, inscribed angles, tangents, secants, angle measures, special segments in a circle, equations of circles

K.    Chapter 11 – areas of parallelograms, areas of triangles, trapezoids, and rhombi, areas of regular polygons, and circles, areas of irregular figures, geometric probability

L.     Chapter 12 – threee-dimensional figures, nets and surface area, surface areas of prisms, cylinders, pyramids, cones, and spheres

M.   Chapter 13 – volumes of prisms, cylinders, pyramids, cones, and spheres, congruent and similar solids, coordinates in space

II.                Objectives for Honors Geometry

A.    Determine the equation of a line parallel and perpendicular to a second line through a given point.

B.     Justify theorems related to pairs of angles, including angles formed by parallel and perpendicular lines, vertical angles, adjacent angles, complementary angles, and supplementary angles.

C.     Verify the relationships among different classes of polygons by using their properties.

D.    Determine the missing lengths of sides of measures of angles in similar polygons.

E.     Determine the measure of interior and exterior angles associated with polygons.

F.      Solve real-life and mathematical problems using properties and theorems related to circles, quadrilaterals, and other geometric shapes.

G.    Deduce relationships between two triangles, including proving congruence or similarity of the triangles from given information, using the relationships to solve problems and to establish other relationships.

H.    Use inductive reasoning to make conjectures and deductive reasoning to justify conclusions.

I.       Apply distance, midpoint, slope formulas to solve problems and to confirm properties of polygons.

J.       Apply the Pythagorean Theorem to solve application problems, expressing answers in simplified radical form or as decimal approximations, using Pythagorean triplets when applicable.

K.    Use the ratios of the sides of special right triangles to find lengths of missing sides.

L.     Find the missing measures of angles and sides in right triangles by applying the right triangle definitions of sine, cosine, and tangent.

M.   Determine the areas and perimeters of regular polygons, including inscribed or circumscribed polygons, given the coordinates of vertices or other characteristics.

N.    Classify polyhedrons according to their properties, including the number of faces.

O.    Calculate measures of arcs and sectors of a circle from given information.

P.      Calculate surface areas and volumes of solid figures, including spheres, cones, and pyramids.

Q.    Analyze sets of data from geometric contexts to determine what, if any, relationships exist.

R.     Construct with precision a circle graph to represent data from given tables or classroom experiments.

III.             Class Expectations 

A.    Have respect for yourself, teachers, others, and their property.  Treat others as you would like to be treated.

B.     Talk only during appropriate times.  Participate during class and do not talk while someone else is talking.

C.     The academic misconduct policy of the school will be followed in this course.

D.    The attendance policy of the school will be followed for this course.

E.     Any student who receives failing grades during this course is urged to discuss this with the teacher.

F.      Bottled drinks are permitted. No food.

G.    Pencils must be used on homework and tests.

H.    Be in the room, seated, and ready to begin before the bell rings.

I.       NO SLEEPING!

J.       Have a positive attitude.  Don’t whine, and only complain when you have  a legitimate reason. 

K.    You must take the Alabama State-Wide Geometry Examination

L.     Attending all of the math tournaments is encouraged.  However, you are allowed to miss one math tournament.  (The policy stated in the student handbook is incorrect.  It incorrectly states that you only have to attend two math tournaments.)

IV.             Assessing your Performance

A.  Grading:  Tests                        100 points each

                      Quizzes                   varies

    Homework              varies

    Writing                    50 points each

                                        Notebook                50 points

1.      Homework:  Each class will begin by reviewing the homework.  Some days the homework will be turned in and some of the  problems will be graded.  They will be worth two points each.  To receive two points, the problem must be worked correctly and have the correct answer.  If the problem is worked in the correct manner but a minor mistake prevented the student from getting the correct answer, one point will be awarded.  The student will not receive any homework points for a problem when necessary work is not shown.  Other days, the student may have a quiz that contains problems like the homework problems.    

2.      Tests:  A test will be given at the end of each chapter.  Be prepared to be tested on the vocabulary, as well.  The students will not be allowed to use calculators on the tests.

3.      Quizzes:  Announced and unannounced quizzes will be given. 

4.      Notebook:  Each student must complete a notebook containing all important formulas, theorems, and postulates.  These notebooks should be reviewed before competing at a math tournament. 

5.      Writing:  Each student will complete two writing assignments during the trimester.

B    Make-up work:  It is the student’s responsibility to make-up the work in a timely manner.  Any work not made up in the allowed time will receive a zero for the missing work.  Any tests, quizzes, or homework missed must be made up within two days upon return to school when absent for one day.  If absent for two consecutive days, the student will have three days to make-up the work.  If the student is absent for three or more days, the student will be given a customized schedule to make-up the work.  In a math class, it is important to make up work as soon as possible because skills taught in one section are then used in subsequent sections.  Any student having to make up a test or quiz will not be given the same test as the other students.  The make-up test/quiz is usually shorter.  Make-up tests/quizzes will only be given before school, unless other arrangements are made.  (If the absence is unexcused, the student will receive a zero for missed work.)

C.  Late Work:  A student may turn in a homework assignment one day late for half credit.

D.  Tutoring:  I will be available most days by 7:00 am.  I will be available in the afternoons on a more limited basis.  If you need an afternoon session, please check a day in advance to make sure that I will be available.  The State Library of Alabama is now offering a free tutoring service on-line at no cost to the students.  The web site is www.homeworkalabama.org. (There is also a link from the Cullman High School website.)  It is available between 3 pm and 12 am for high school students in grades 4-12 and through the second year of college.  This website is highly recommended.  The tutors do not give the students the answers but help them understand how to work the problems. 

E.  Student Files:  All tests are kept in the classroom for use in the trimester review and parent conferences.  Conferences may be scheduled through the guidance office at 734-3923.

F.  Math Tournaments:  I expect each student to be on their best behavior when attending a math tournament while representing Cullman High School. 

G.  Curriculum:  I will first cover the sections in the book that will most benefit the students for math tournament competition.  After that, we will cover the material that was skipped. 

V.                Materials

A.    pencils

B.     ruler

C.     notebook – either large wire-bound notebook or three-ring binder

D.    graph paper - no smaller than 5 quadrille (5 squares per inch)

E.     compass

________________________________________________________________________

I have received and read the course syllabus for Honors Geometry.  I understand that the student is expected to attend all math tournaments, but may be excused from one.  The student is required to take the Alabama State-Wide Geometry Examination.

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          Parent Signature                             Student Signature                            Date