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Syllabus

Westerly High School Geometry Syllabus
2016-2017
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Instructor: Mrs. Octeau
Location: Rm 307
Email: jocteau@westerly.k12.ri.us
Course: Geometry CP
Credits: 1
Course Description:
This course blends the concepts and skills that must be mastered before enrollment in a
college level Calculus course. This course includes the study of relations and functions, exponential and logarithmic functions, trigonometry, trigonometric functions, trigonometric identities, and equations.
 

Course Sequence:
 
GEOMETRY CP TOPICS SEMESTER 1 Quarter 1: - Unit 1.1: Geometric Foundations, Constructions, and Relationships o Points, lines, planes, angles (complementary, supplementary, vertical ∡, linear pair) o Parallel and perpendicular lines o Parallel lines and transversal (alt. int. ∡, same-side int. ∡, alt. ext. ∡, corresponding ∡ theorems and their converse) o Logic (conditional, converse, inverse, contrapositive, bi-conditional) o Inductive and deductive reasoning o Distance along a line, midpoint, angle and segment addition o Constructions (∡ bisector, ⊥ bisector, copying an ∡) o Triangle Sum Thm, Exterior ∡s Thm. - Unit 1.2: Transformations o Def. of rigid motion (isometry, congruence transformations) o Rules for Reflections (along x-axis, y-axis, y = x), Rotations (90°, 180°, 270°), Translations, Dilations o Scale factor problems for a dilation Quarter 2: - Unit 2.1: Triangle Congruence o Def. of congruence (if two ∆� are ≅, then all of their corresponding parts are ≅) o Prove thms using triangle congruence criterions (SSS, SAS, ASA, AAS, HL) and CPCTC o Def. of ∡ bisector and ⊥ bisector o Isosceles Triangles Thm. and its Converse o Midsegment of a triangle, median, altitude, centroid, orthocenter - Unit 2.2: Triangle Similarity o Identify triangle by its angles and sides o Def. of similarity (if two ∆� are ~, then all of their corresponding sides are proportional) o Similarity Criterions (AA, SAS, SSS) o ∆ Proportionality Thm and its converse o Solve similarity problems (ex. shadow and height problem) o Pythagorean Thm and its Converse o Geometric Mean (Similar triangles within triangles) SEMESTER 2 Quarter 3: - Unit 3.1: Right Triangle Trigonometry o Special Right Triangles (30-60-90, 45-45-90) o Use sine, cosine, tangent ratios to solve for missing sides (SOH-CAH-TOA) o Use inverse sine, cosine, and tangent to solve for missing angles o ∡� of elevation and depression problems o Law of Sines and Law of Cosines (extended) - Unit 3.2: Polygons: Thms, Proofs, and Applications On and Off the Coordinate Plane o Prove properties about parallelograms o Know properties of quadrilaterals (parallelograms, rectangles, rhombi, squares, kites, and trapezoids, and isosceles trapezoids) o Coordinate Proof (ex. prove whether a figure on the coordinate plane is a rectangle or not using either distance or slope) o Write the equation of a line parallel or perpendicular to another line given a point on the line. o Partitioning a segment Quarter 4: - Unit 4.1: 2D and 3D Measurements and Modeling o Def. of regular and irregular polygons, convex vs. concave o Name polygons (ex. hexagon, heptagon, etc) o Sum of Int. ∡s of a polygon, sum of the ext. ∡s of a polygon o Area of triangles, parallelograms, rhombi and kites, trapezoids, regular polygons, and circles (area and circumference) o Name polyhedrons and other solids (prisms, pyramids, cones, cylinders, spheres) o L.A. and S.A. of prisms, pyramids, cones, cylinders, and spheres (S.A. only) o Volume of the five solids above o Composite solids (ex. cone on top of a cylinder) o Similar polygons and the ratio of their S.A. �!: �! and volume (�!: �!) - Unit 4.2: Relationships in Circles o Def. of circle, radius, chord, diameter, tangent, secant o Major and minor arcs, semicircle, central and inscribed angles. o Arc length vs. arc measure o Area of a sector of a circle o Convert from degrees to radians and radians to degrees o Thms of relationships in a circle (ex. chords and radius, tangent and secant, special segments: solve for length of segment or measure of angle) o Quadrilateral inscribed in a circle, Triangle inscribed in a semicircle. o Def. of inscribed and circumscribed Algebra Skills: - Solve linear and quadratic equations (by factoring, completing the square, taking square root, and quadratic formula) - Simplify radicals, rationalize denominators (using fancy 1) - FOIL - Write equation of a line​
 
Classroom Materials:
  • 1.5” 3-ring binder
  • White lined paper
  • Graph paper
  • Supply of pencils with erasers (pens will not be accepted on tests and/or quizzes)
  • Graphing Calculator
  • Highlighters/Colored Pencils
 
Educational Support
  • After School Extra Help: As needed, please make an appointment.
  • Take advantage of after school study groups before tests.
  • Mathematics Support Websites: coolmath.com, khanacademy.com, purplemath.com, YouTube (see links on my fusion page for more)
 
Student Expectations
Come to class on time, prepared and ready to learn.
∙ Treat all people in the classroom with common courtesy and respect.
∙  Participate in class to the best of your ability.
∙  Remain quiet and in their seats until they are dismissed by the teacher at the end of class.
∙  Maintain a personal standard of academic ethics.
∙ In no way participate or give the appearance of contributing to any cheating, copying, or plagiarizing.
∙  Communicate with their parents/guardians about their progress in the course.
∙ Aim for success!!! Do your best to successfully complete the course and aim for an “A”!
 
Daily Classroom Procedures
 
Before Entering the Classroom:
Use the restroom. Students are asked not to use the restroom during the lesson
∙ Make sure you have your binder, pencil, calculator, and completed assignments.
 
When You First Enter the Classroom:
Take out your homework.
∙ Sit in your assigned seat.
∙ Place everything but the instructional materials on the floor or under your desk.
∙ Begin "drill" problems as part of the next assignment while attendance is being taken.
 
When You Leave the Classroom:
Make sure you have written down the homework.
∙ Leave your desk area clean.
∙ Return any supplies that you used to the teacher.
 
You must keep all returned tests and quizzes in your binder! Do not throw away any assignment!  This will be your study guide for your midterm and final exams!!
 
Homework Policy:
  • Homework is an important part of learning mathematics and will be assigned daily
  • Full credit will only be given if all work is shown and all problems are attempted
 
There may be problems that are unusually difficult that you have not seen yet. It is ok to get frustrated, I am hoping that the homework will challenge you to think.  Thinking is part of learning. If you are having difficulty with your homework, keep the following in mind:
 
∙ Write down what you know.
∙ Write down what the problem is asking you to do.
∙ Look through your notes for examples.
∙ RE-READ the current section of your textbook, your notes and possibly other sections. This
implies that you are already reading each section. THE EXAMPLES IN OUR TEXTBOOK ARE
EXTREMELY GOOD. USE THEM AS A GUIDE.
∙ Go online and/or phone a friend.  
∙ If you are still lost, please come and ask questions.




Make-Up Work/Incomplete Grades Guidelines:
It is the responsibility of the student to get missed notes and assignments when absent.  Please see the student handbook for the make-up policy.
 
Tardiness Policy
On your first unexcused tardiness to class, you will be given a warning. After two unexcused tardies, you will be required to stay after school with the teacher the following day to make up the time that you have missed in class. If tardiness becomes a repeat offense, you will be referred to the office.
 
Grading Policy
Coursework - 76%     
  • Summative: 50%
  • Interim: 50%
Includes Skills Builders
Anchor Task - 12%
Exam - 12%