THE WILLIAMSBURG HIGH SCHOOL
FOR ARCHITECTURE AND DESIGN
Advanced Algebra and Trigonometry Syllabus
Introduction
MRS33 is the third term of the Advanced Algebra and Trigonometry course sequence. The
course terminates with the Advanced Algebra and Trigonometry Regents Examination, which is
a requirement for students to graduate with an Advanced Regents Diploma. It is my goal that all
students enrolled in this course will pass the Algebra 2 / Trigonometry Regents examination this
January.
I am personally excited and optimistic about this semester. Although challenges do lie ahead, I
firmly believe that all of my students are capable of tackling on such challenges. However, it is
up to you to do what is expected from you and for us to work as a team, to learn and to listen
from one another. This document details such expectations.
Grading Breakdown
According to the Williamsburg High School for Architecture and Design’s Math Department
standards, your final grades will be based on the following:
Tests and Quizzes
Performance Assessments
Classwork, Notebook and Participation
Homework
50%
20%
20%
10%
Tests & Quizzes – 50%
There will be a quiz or a test once a week, every week. Make-up quizzes and tests will only be
accepted with an excuse note signed by a parent.
Cheating of any kind will not tolerated. Any student(s) caught cheating will automatically receive
a zero for the quiz/test and will be reported to administration to face further consequences.
Cheating is constituted of: (1) use of unauthorized cheat sheets, etc. during an exam, (2)
speaking with the person seated next to you, (3) looking at the test of the person seated next to
you, and (4) using electronic devices to look up answers.
Performance Assessments – 20%
There will be at least one culminating unit project at the end of each unit, and at least three
times each marking period. Each unit assignment focuses on the Common Core State
Standards, with special focus on the following domains:
1) Reasoning with equations and inequalities;
2) Modeling with mathematics; and
3) Constructing viable arguments and critiquing the reasoning of others.
Gill Cornell, Principal
257 North Sixth Street Brooklyn New York 11211 718-388-1260 Fax 718-486-2580


The Keystone to Your Education


THE WILLIAMSBURG HIGH SCHOOL
FOR ARCHITECTURE AND DESIGN
Classwork, Notebook and Participation – 20%
One of the main rules in this class is to maintain an active notebook—everything that goes on
the board/slide goes in your notes. If properly maintained, your notebook could very well be the
most valuable resource/study guide you may have in preparation for a major exam.
You are expected to attend class on time and ready to listen to the teacher and to complete
your assigned work. I will check your work during class on a daily basis, beginning with your Do
Now, in order to ensure that you are participating with the classroom activities.
Homework – 10%
Homework will be assigned everyday. Place your homework on your desk as soon as you take
your seat, ready to be checked at the beginning of class. Homework will be graded based on
completion and effort, not correctness of answers. In my experience as an instructor, there is a
direct, positive correlation between completing homework assignments and doing well in
classroom exams.
If you missed class, it is your responsibility to make up the work you missed. If you forgot to
copy the day’s homework, you may get the information daily from my website,
www.whsad.org/basilio. Late homework will not be accepted for full credit without a note
from your parent!
Progress Reports
Ms. Basilio will provide you with an updated progress report each Monday. All students are
expected to monitor their progress throughout the semester. Any work missed will be accepted
each Friday, but with a late penalty, unless accompanied by an excuse note from home. Ms.
Basilio will be mailing home progress reports one Friday of each month, so take
advantage of this opportunity!
Class Rules
All students are expected to adhere to the following class rules. Failure to follow these rules
consistently will lead to the appropriate disciplinary action.
 Raise your hands and wait to be called upon before speaking.
 Maintain an active notebook.
 Stay on your seats unless otherwise stated.
 Respect our classroom community.
Classroom Materials
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A notebook for math class only!
A pencil with an eraser.
A folder for handouts and returned work.
Gill Cornell, Principal
257 North Sixth Street Brooklyn New York 11211 718-388-1260 Fax 718-486-2580


The Keystone to Your Education


THE WILLIAMSBURG HIGH SCHOOL
FOR ARCHITECTURE AND DESIGN
Units of Study
The following table outlines the scope and sequence that we will be following this semester.
Each unit culminates in a Performance Assessment writing project, which counts for 20% of
your overall grade.
Unit Name
Topics of Study
Functions and Their Properties
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Definition of a function
Types of functions
Inverse of a function
Compositions of functions
Quadratic Equations
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Solving quadratics by factoring
The Quadratic Formula
Discriminant
Completing the square
Sum and product of the roots of quadratic
equations
Radicals
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Simplifying radicals
Adding and subtracting radicals
Multiplying and dividing radicals
Solving quadratics with irrational solutions
Complex Numbers
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Properties of imaginary numbers
Properties of complex numbers
Adding and subtracting complex numbers
Multiplying and dividing complex numbers
Solving quadratics with complex solutions
Rational Expressions
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Simplifying rational expressions
Multiplying rational expressions
Dividing rational expressions
Adding and subtracting rational expressions
Exponential Functions
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Solving exponential equations
Definition of logarithms
Properties of logarithms
Solving logarithmic equations
Word problems involving exponential equations
Word problems involving logarithmic equations
Gill Cornell, Principal
257 North Sixth Street Brooklyn New York 11211 718-388-1260 Fax 718-486-2580


The Keystone to Your Education


THE WILLIAMSBURG HIGH SCHOOL
FOR ARCHITECTURE AND DESIGN
Periodic Functions
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Radian measure
Finding the length of an arc
Trigonometric identities
Graphs of sine, cosine and tangent functions
Graphs of the inverse trigonometric functions
Identifying period, frequency and amplitude
Solving Trigonometric Equations
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Solving linear trigonometric equations
Solving quadratic trigonometric equations
Solving trigonometric equations that involve more
than one trigonometric function
Law of Sines and Law of Cosines
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Proof of the Law of Sines
Real-world applications involving the Law of Sines
Proof of the Law of Cosines
Real-world applications involving the Law of
Cosines
Vector forces involving magnitude and direction
Understanding which law to use when solving
problems
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Probability
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Normal distribution
Permutations
Combinations
Binomial distribution
Statistics
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Linear regression
Interpolation and extrapolation
Exponential regression
Power regression
Quadratic regression
Trigonometric regression
Gill Cornell, Principal
257 North Sixth Street Brooklyn New York 11211 718-388-1260 Fax 718-486-2580


The Keystone to Your Education

