Geometry

GEOMETRY

Course Outline  (1) Discovery Points, Lines, Planes, and Angles (a) Points, lines, and planes (b) Measuring segments (c) Midpoints and distance (d) Exploring angles (e) Angle relationships (f) Constructing perpendiculars (g) Two dimensional figures (h) Three dimensional figures

(2) Connecting Reasoning and Proof (a) Inductive reasoning and conjecture (b) Logic (c) If-then statements (d) Using proof in algebra (e) Verifying segment relationships (f) Verifying angle relationships

(3)Using Perpendicular and parallel lines (a) Parallel lines and transversals (b) Angles and parallel lines (c) Slope (d) Equations of lines (e) Equations of perpendicular bisectors (f) Proving lines parallel (g) Parallels and distance

(4) Identifying congruent triangles (a) Classifying triangles (b) Angles of triangles (c) Exploring congruent triangles (d) Proving triangles congruent (e) More congruent triangles (right triangles) (f) Analyzing isosceles triangles (g) Triangles and the coordinate plane

( 5) Applying Congruent Triangles (a) Special Segments in Triangles(bisectors, medians, and altitudes) (b) Inequalities for sides and angles of a triangle (c) The triangular inequality (d) Inequalities involving two triangles

(6) Exploring Quadrilaterals (a) Polygons (b) Parallelograms (c) Tests for parallelograms (d) Rectangles (e) Squares and rhombi (f) Kites (g) Trapezoids (h) Coordinate proof with quadrilaterals

(7) Connecting Proportion and Similarity (a) Using Proportions (b) Exploring similar polygons (c) Identifying similar triangles (d) Parallel lines and proportional parts (e) Parts of similar triangles

(8) Applying Right Triangles and Trigonometry (a) Geometric mean and the Pythagorean theorem (b) Converse of the Pythagorean theorem (c) Special right triangles (d) Trigonometry (e) Angles of elevation and depression (f) Using the law of sines (g) Using the law of cosines

(9) Analyzing Circles (a) Definition (b) Angles and arcs (c) Arcs and chords (d) Inscribed angles (e) Tangents (f) Secants, tangents, and angle measures (g) Special segments in a circle

(10) Exploring Polygons and Area (a) Areas of parallelograms (b) Area of triangles, rhombi, and trapezoids (c) Area of regular polygons and circles (d) Areas of composite figures (e) Geometric probability and areas of sectors

(11) Investigating Surface Area and Volume(a) Exploring three dimensional figures (b) Nets and surface area (c) Surface area of prisms and cylinders (d) Surface area of cone, pyramids and spheres

(12) Volumes (a) Volume of prisms and cylinders (b) Volumes of pyramids and cones (c) Volume of spheres

*********************************************************************************************
 * Course Title: Geometry Grade: 9 **
 * Teacher Name: Steman Year: 2012 **
 * Mission Statement: **Beaufort Academy is an independent school designed to instill in students the intellectual curiosity and strength of character for success in college and beyond. The school is committed to developing the whole person within the framework of its core values and the Judeo-Christian tradition. Beaufort Academy seeks to inspire in each student a sense of responsibility to one’s self, the community and the environment, and to build in each student the capacity to become a positive contributor and leader in an increasingly interconnected world.

Geometry is a yearlong course emphasizing both plane and solid geometric approaches. Emphasis is also placed on deductive and inductive reasoning as well as logic. Included in this course is an introduction to right triangle trigonometric concepts. In addition, students will engage with SAT practice questions and gain strategy tips for SAT preparation.Full year course; typically during the 9 th or 10 th grade year
 * Course Description: **


 * Text(s): **//Geometry, Glenco McGraw-Hill, copyright 2008 //
 * Course Objectives: **
 * 1) To appreciate the beauty of geometry in nature by seeing patterns
 * 2) <span style="font-family: 'Times New Roman','serif';">To classify geometric shapes
 * 3) <span style="font-family: 'Times New Roman','serif';">To develop the ability to think critically by understanding deductive reasoning
 * 4) <span style="font-family: 'Times New Roman','serif';">To develop and apply the formulas for perimeter, area, and volume of geometric shapes
 * 5) <span style="font-family: 'Times New Roman','serif';">To use spatial perception activities to understand how lines, planes, and solids relate to each other in space
 * 6) <span style="font-family: 'Times New Roman','serif';">To enjoy learning and to develop a positive attitude toward mathematics

Grades will be given in each of the three following categories: tests, quizzes, and homework. You will be made aware not only of the grade you earned but also into which category this grade falls. It is important for you to keep track of your grades. In doing so, you will know at all times your standing in this class and will not need to ask me for your grades. Your grade should be as important to you on the first day of class as it is on the last day of class.
 * <span style="font-family: 'Times New Roman','serif';">Student Evaluation: **

<span style="font-family: 'Times New Roman','serif';">TEST AVERAGE (arithmetic mean) 50% <span style="font-family: 'Times New Roman','serif';">QUIZ AVERAGE (arithmetic mean) 25% <span style="font-family: 'Times New Roman','serif';">HOMEWORK AVERAGE 25%

<span style="font-family: 'Times New Roman','serif';">Example: <span style="font-family: 'Times New Roman','serif';">Test: 90%, 79%, 100%, 89%, Quizzes: 100%, 95%, 98%, Homework: 100%

<span style="font-family: 'Times New Roman','serif';">Tests: (90+79+100+89)/4=89.5 89.5(.50)=44.75 <span style="font-family: 'Times New Roman','serif';">Quizzes: (100+95+98)/3=97.67 97.67(.25)=24.52 <span style="font-family: 'Times New Roman','serif';">Homework: 100(.25)=25.00

<span style="font-family: 'Times New Roman','serif';">Grade: 44.75+24.52+25=**94%** <span style="font-family: 'Times New Roman','serif';">
 * <span style="font-family: 'Times New Roman','serif';">Supplies and Materials: **
 * 1) <span style="font-family: 'Times New Roman','serif';">Textbook
 * 2) <span style="font-family: 'Times New Roman','serif';">Notebook/pencils
 * 3) <span style="font-family: 'Times New Roman','serif';">Colored pencils and markers
 * 4) <span style="font-family: 'Times New Roman','serif';">Scientific calculator or TI NSpire CAS calculator
 * 5) <span style="font-family: 'Times New Roman','serif';">Protractor, compass, and straightedge


 * <span style="font-family: 'Times New Roman','serif';">Expectations **<span style="font-family: 'Times New Roman','serif';">:
 * 1) <span style="font-family: 'Times New Roman','serif';">All work must be done in **PENCIL!**
 * 2) <span style="color: black; font-family: 'Times New Roman','serif';">All cell phones (and other electronic devices not required for classroom instruction) are to be placed in the cell phone caddy.
 * 3) <span style="font-family: 'Times New Roman','serif';">Bring your book, paper, **pencil**, (and calculator where appropriate) to class regularly, unless otherwise instructed.
 * 4) <span style="font-family: 'Times New Roman','serif';">Homework will be assigned and checked on a regular basis. Failure to **__complete__** the assignment will result in five points being deducted from your homework average.
 * 5) <span style="font-family: 'Times New Roman','serif';">Missed homework assignments should be completed in a timely manner. It is the student’s responsibility to check the homework folder and turn in the missed assignment.
 * 6) <span style="font-family: 'Times New Roman','serif';">Notes, assignments, handouts, etc. should be kept in a notebook of some sort and not crammed in the textbook.
 * 7) <span style="font-family: 'Times New Roman','serif';">I dismiss the class. Students need to be seated and quiet before dismissal.
 * 8) <span style="font-family: 'Times New Roman','serif';">Pencils are to be sharpened before the class begins. (Mechanical pencils work well.)
 * 9) <span style="font-family: 'Times New Roman','serif';">Having your books, etc. on your desk is not the same thing as you being in class. You need to be in your seat at the start of class!
 * 10) <span style="font-family: 'Times New Roman','serif';">School rules are to be followed at all times.

<span style="font-family: 'Times New Roman','serif';">All BA Blue Book Rules will be enforced. Reminder: <span style="color: red; font-family: 'Times New Roman','serif';">As a student, you should fulfill ALL of the following requirements: <span style="color: red; font-family: 'Times New Roman','serif';"> Follow all the attendance rules in the BA Blue Book. It is difficult to pass if you do not attend regularly. <span style="color: red; font-family: 'Times New Roman','serif';">o **__<span style="color: red; font-family: 'Times New Roman','serif';">ABSENCES: __**<span style="color: red; font-family: 'Times New Roman','serif';"> Any absence in excess of five class periods in one trimester will result in a 3% lowering of the final trimester grade. Four tardies in a class count as one absence and fall within this policy. <span style="color: red; font-family: 'Times New Roman','serif';">o **__<span style="color: red; font-family: 'Times New Roman','serif';">TARDIES: __**<span style="color: red; font-family: 'Times New Roman','serif';"> All students are required to be in their first period classroom at 8:00AM each day of school. Students arriving any time after 8:00AM are considered tardy. Students will be allowed two (2) unexcused tardy days per trimester. On the third tardy, the school will send an electronic warning to the parents to inform them a work detail or a detention will be assigned on the fourth tardy of the trimester. <span style="color: red; font-family: 'Times New Roman','serif';">o **__<span style="color: red; font-family: 'Times New Roman','serif';">SPORTS: __**<span style="color: red; font-family: 'Times New Roman','serif';"> Students who arrive at school after 8:30AM on the day of an athletic contest or performing arts presentation will not be allowed to participate in that contest or presentation. Exceptions may be granted by the administration for legitimate reasons and such exceptions must be pre-approved <span style="color: black; font-family: 'Times New Roman','serif';">. //<span style="font-family: 'Times New Roman','serif'; font-size: 16px;">Phone: 524-3393 //
 * <span style="font-family: 'Times New Roman','serif';">Electronics in caddy **
 * <span style="font-family: 'Times New Roman','serif';">Due Date Policy: **<span style="font-family: 'Times New Roman','serif';">All BA Blue Book Homework, Late Work and Make-Up Work policies will be enforced.
 * <span style="font-family: 'Times New Roman','serif';">Extra Credit Policy: **//<span style="font-family: 'Times New Roman','serif';"> Extra credit may be available and when it is, it is an opportunity given to the entire class not individuals. //
 * <span style="font-family: 'Times New Roman','serif'; font-size: 16px;">Closing: **<span style="font-family: 'Times New Roman','serif'; font-size: 16px;">I am available for individual help after school with prior notice or before school any day of the week. <span style="font-family: 'Times New Roman','serif';">//email//: psteman@beaufortacademy.org