Syllabus

Hayden Catholic High School

School Year 2020-2021

GEOMETRY

(Planning entails flexibility, any changes of the course will be addressed by the teacher to the students)

Prerequisite: Algebra I or Accelerated Algebra I and approval of math department

1 credit (10, 11, 12)

Instructor: Mr. Primo Arbon email: arbonp@haydencatholic.net

Description: This math course is designed to prepare students to a university and their future career. The series is about connecting math content, rigor and adaptive instruction for students success. This covers basic concepts, properties and geometric relationships, triangle congruence, proofs and its applications. Students will also be exploring concepts in transformations, symmetry, congruence and similarity. The connection 2 dimensional shapes and 3 dimensional figure will be investigated in order to differentiate the notion of area and volume. Predicting the outcomes of events as well as quantifying predictions will be an essential knowledge and activity will be an essential part of probability.

Learning Goals and Intentions: Students are expected to...

1) use and identify basic geometric terms (points, lines and planes) and concepts to solve problems.

2) calculate and solve distance between two points.

3) measure and classify congruent and special angles and internalize the concepts of angle

bisector.

4) identify and familiarize the types of polygons by solving its perimeter and circumference.

5) calculate the coordinates of the vertices of images after reflection, translation and

rotation given the coordinates of the preimage

6) identify and solve the surface area and volume of the given three-dimensional figures.

7) write and analyze conjectures by using inductive reasoning or disprove conjectures using

counterexamples.


8) write compound and conditional statements and determine the truth value.


9) analyze figures to identify and use postulates to prove statements.


10) identify and write proofs of special pairs of angles.


11) use angle and line segment relationship to prove theorems.


12) solve and use the slope of a line to identify parallel and perpendicular lines.


13) classify triangles by their side or angle measures.


14) prove triangles congruent and its parts using the definition of congruence and

postulates and theorems.


15) identify and use perpendicular/angle bisectors, median and altitude in solving the

measure of the missing length.


16) recognize and apply properties of inequalities to the measures/relationships of the

angles /sides of a triangle.


17) write indirect and geometric proofs.

18) solve and use the sum of the measures of the interior/exterior angles of polygons.


19) prove that a set of points forms a parallelogram in the coordinate plane.


20) recognize and apply the properties of special parallelograms.


21) identify dilations and verify them as similarity transformation.


23) use the properties of similarity to compare polygons.


24) apply and use proportions to solve problems between similar triangles.


25) solve problems involving relationships between parts of a right triangle and the altitude

to its hypotenuse.


26) use the Pythagorean theorem to develop the Distance Formula.


27) apply and use the properties of special right triangles.


28) use trigonometric ratios to solve angle measures in right triangles.


29) solve problems involving angles of elevation and depression.


30) familiarize and use the Law of Sine/Cosines to solve triangles.


31) solve problems involving the circumference and area of a circle.


32) internalize the major parts and its relationship of a circle.


33) solve problems involving circumscribed polygons and apply the properties of secant and

tangent lines.


34) express and graph the equation of a circle.

35) solve for the area of special parallelograms.


36) solve the area of a regular and composite polygons.


37) identify three-dimensional objects generated by rotations of two dimensional figures.


38) familiarize and use the formula of solving the surface area and volume of prisms,

cylinders, pyramids, cones and spheres.


39) solve real-world problems involving density by using volume.


40) use the Fundamental Counting Principle to count outcomes.


41) describe events as subsets of sample spaces by using intersections and unions.


42) use permutations and combinations with probability.


43) solve probabilities by using the length and area of the figure.


44) apply the multiplication rule to situations involving independent and dependent events.


45) apply the addition rule to situation involving mutually exclusive and not mutually

exclusive.


46) find the probability of events given the occurrence of the other events.


47) explain conditional probability and independence of everyday events.


48) approximate conditional probabilities by using two-way frequency tables.



Text/Authors: Geometry, Glencoe McGraw-Hill., 2018.


John A. Carter; Ph.D - Mathematics Teacher

Gilbert J. Cuevas; Ph.D. - Professor of Mathematics

Roger Day, Ph.D. - Mathematics Teacher

Carol Malloy, Ph.D. - Mathematics Educator

Jerry Cummins - Mathematics Educator

Dinah Zike - Educational Consultant

Jay McTighe - Educational Consultant

Grade Scale: Grades are reported as letter grades. The following grading scale is used:

100-91.5% A

91-83.5% B

83-74.5% C

74-66.5% D

Below 66.5% Failing


GRADING PROCEDURE


The grade for each student will be calculated as follows:

30% Quizzes

20% Homework/Assignments 85% Semester average

50% Assessments/Test *15% semester final exam

*At this time we are expecting to give a semester final, but please be aware that this may change.



QUIZZES (30%)

Quizzes will count as 30% of your grade. All quizzes will be announced in advance. If you are absent on the day of a quiz, it is your responsibility to set up a time to make-up the quiz within 2 days of your return to school. If this is not done the student will receive a zero on the quiz. If you are at school the day a quiz is announced but are not present for the review, you will still be expected to take the quiz as scheduled.


HOMEWORK/ASSIGNMENTS (20%)

You will be assigned homework frequently and are expected to do it on time whether we are in class or online. You will receive 4 points when it is completed satisfactorily and on time. You can obtain 3 points when your homework is completed and is late. However, all homework must be completed before each assessment in order to obtain points.


TEST/ASSESSMENTS (50%)

Tests and projects can be included in the assessment category. Make sure you are prepared and ready for the assessments when they are given. Tests and projects can be included in the assessment category. Retakes for quizzes and tests will be offered. The only time a student is eligible for a retake is if (s)he received a grade below 75%. The retake may only raise the grade to a maximum of 75%. Make sure you are prepared and ready for the assessments when they are given. (The retake policy may change if we are in a completely remote setting.)


Policies

  • All homework assignments, quizzes, and exams must be done in pencil in order to receive credit.

  • Retests for quizzes and exams will be offered, but they must be completed by the student before or after school. Class time will not be allowed to make up any tests or quizzes. A student may only take a retest if ALL homework is completed and turned in on time.

  • The only time a student is eligible for a quiz retake is if (s)he received a grade below a 75%. The retake may only raise your grade to a maximum of 75%. For example, if a student gets a 56% on a quiz, a 90% on the requiz, (s)he will receive a final grade of 75%.

  • The only time a student is eligible for a test retake is if they score below a 75%, the same policy as quiz retakes will be followed.

  • Quiz retakes will only be given until the day of the chapter test. Test retakes must be taken within a week of when the tests are handed back.

  • All quizzes and exams will be graded by the teacher and returned to the student as soon as possible.

  • Homework will be checked by the student at the beginning of the class period when it is due. Homework will be due the class period after it is assigned. All late homework is due by the end of the chapter in which it is assigned.

  • Homework will be graded on a four point system at the beginning of class. A student will only receive full credit for an assignment only if the assignment is completed

  • Homework quizzes will be given periodically. These quizzes will count as the homework grade for the assignment and will consist of copying answers to homework problems.

  • If a student has an excused absence from class, (s)he will have one day per class missed to make up the homework.

  • Should there be a teacher error or oversight, it is absolutely imperative that the student keeps all homework assignments. Mr. Arbon will keep all of the quizzes and exams.




Classroom Rules

The student handbook will be followed. Please make sure to follow the general rules such as being in uniform (shirts tucked in, uniform jackets, no cell phones, etc.) following directions, bring necessary materials to class, and being respectful of others.

The tardy policy in the handbook will be enforced.


Please make sure that if you have a cell phone it stays in your locker or book bag during class. Do not have them out or in your pocket or I will keep it until the end of class. If it continues to be a problem, I will contact your parents/guardian. All book bags/purses will be required to be at the back of the room when we have quizzes or tests. Your cell phone and smart watches will need to be in your bag too. Thank you.