Curriculum
At Atara Girls High school, we aim to produce young women who have a sophisticated grasp and appreciation of both Jewish and secular topics, and who will engage in a lifelong pursuit of learning and development. We provide a wellrounded and wholistic education.
Our academic goals for each student are to increase the depth and scope of her knowledge in both Judaic and General Studies, refine her critical thinking abilities and learning skills, and to foster a lifelong love of learning within her.
Ultimately, our goal is for each Atara graduate to be steeped in the knowledge of Torah, knowledgeable in the Arts and Sciences, and possessing the skills necessary to flourish and find success in all areas of her life.
We have developed a rigorous curriculum with dynamic, fastmoving courses that reflects those goals. The school has a dual education program in Judaic and college preparatory studies. The Judaic studies curriculum aims to foster a deep and lifelong appreciation of Jewish learning, philosophy, and laws while building a wide knowledge base and textual skills. The General Studies curriculum is designed to develop a broad knowledge in the humanities and sciences, and to prepare students to take full advantage of higher education opportunities.
The deeply committed and intellectually proficient Torah Jew elevates all of Hashem’s creation to morality, spirituality, and holiness. Over four years, we hope to give each of our students the gift of a comprehensive Jewish education and the tools for a meaningful relationship with her Creator.
JUDAIC STUDIES
The extensive reach of our Judaic Curriculum has been developed with deeper mission in mind. With the Torah each student learns, we wish to instill within her a love and reverence of Gd and Judiasm that will stand at the core of her developing adult identity. Our students are the next generation of Jewish women, and the continuity of the Jewish people rests in their hands. It is not enough for them to master the comprehensive curriculum; it must be incorporated into the very lives and essence of every student.
Torah is internalized through study and dedication. All students take between three and four years of Chumash (Be’iyun and Bekius), studying texts in both the original Hebrew and in translation. Our Chumash courses are designed to develop the students’ textual skills, with the goal of enabling the students to read and comprehend the text of Tanach and its commentaries with ease. We work to achieve a depth of understanding of the text that allows the students to use the text as a springboard for evaluation, analysis, and synthesis of ideas. Our Chumash Bekiyus classes give the girls a sense of the scope and major philosophical themes of each sefer.
Both our Chumash Be’iyun classes and our Ivrit Classes are tracked to allow for the homogeneity that assists in rapid skill development.
Equally important are classes that are rich in Torah life approach, Jewish philosophy, and Torah thought. It is crucial to us that students are given a powerful hashkafic grounding so they can begin their adult lives wellinformed, welleducated, and confident in their beliefs.
The four years of Navi are taught through a Mussar paradigm, where relevant life lessons are culled from the text and storyline. We require four years of Halacha, with a focus on the laws necessary for Jewish living and running a Jewish home. We also offer three years of Ivrit classes to learn how to speak, write and understand Modern Hebrew. Our curriculum is rounded out with classes in Tefillah, Parsha, Yahadus, and Jewish Philosophy.
GENERAL STUDIES
Following the motto of excellence, Atara has designed an excellent college preparatory General Studies program, with a wide variety of course work and an extensive familiarity with the tools and skills that are needed to be successful in the modern world. Each student is provided with a strong educational base, with which she can go on to attend university and pursue the career of her choice. Our curriculum is thorough and engaging enough to challenge the advanced student, and at the same time is accommodating and flexible to cater to a variety of scholastic levels.
JUDAIC STUDIES
ספר במדבר: The Book of Numbers – Track A
TEXTS:
 Sefer Bamidbar – Hebrew with commentaries for classroom use.
 Sefer Bamidbar – Metzudah for out of class use.
 Supplements are provided by teacher containing Midrashim, Acharonim, Gemara, and Halacha that are pertinent to subject matter.
Course Description:
This Bible study course is track based to allow for appropriate and focused skill development. It allows for an in depth study of the fourth book of the Torah, the Book of Numbers. Emphasis is on mastery of content, focusing mainly on the text, Rashi, and a sampling of early and later commentaries. Textual skills begin to be developed through a variety of learning strategies.
Course Objectives:
 Gain a command of loshon hakodesh and a profound appreciation of Gd’s Torah and our classic interpreters of the texts.
 Learn middos development and moral and ethical standards as portrayed in the lives of the Patriarchs, Matriarchs, and other Biblical personalities.
 Use the text as a spark to explore the philosophical concepts contained therein and expand the scope and depth of their understanding of תורה השקפה.
 Become comfortable and selfsufficient reading Biblical text, including the ability to:
 develop reading fluency and speed in both print and rashi script.
 expand their vocabulary and understanding of Biblical Hebrew
 comprehend root words and be able to recognize and translate different conjugations of root words.
 break down and translate a פםוק.
 develop proficiency reading commentaries including the ability to:
 identify the question, answer, and supporting evidence from within a commentary.
 bridge the commentary back into the text to enhance understanding.
 compare and contrast different commentaries
Scope and Sequence:
Unit 1: Bamidbar
 Uniqueness of Shevet Levi
 Moshe’s talmidim
 Numbering the Sons of Levi
 Bad Neighbors/Good Neighbors
Unit 2: Naso
 Sotah
 Birkas Kohanim
Unit 3: Behaaloscha
 Chovav and the Aron’s Travels
 The Complainers
 Kivros Hata’ava
 Loshon Hora about Moshe
Unit 4: Korach
 The uprising and Related Topics
Unit 5: Chukas
 Miriam;s Death and Mai Meriva
 Aharon’s Death
 Copper Snake
Unit 6: Balak
 Bilam and Balak
 Sin in Shitim
Assessments
 Students will be tested with a written assessment approximately twice a month on the content they have learned.
 Students will be quizzed daily with translation review assessments
 Students will have oral midterm and final. It will be a skill based review of key commentaries learned throughout the semester.
JUDAIC STUDIES
ספר במדבר: The Book of Numbers – Track B
TEXTS:
 Sefer Bamidbar – Hebrew with commentaries for classroom use.
 Sefer Bamidbar – Metzudah for out of class use.
 Suppliments are provided by teacher containing Midrashim, Acharonim, Gemara, and Halacha that are pertinent to subject matter.
Course Description:
This Bible study course is track based to allow for appropriate and focused skill development. It allows for an in depth study of the fourth book of the Torah, the Book of Numbers. Emphasis is on mastery of content, focusing mainly on the text, Rashi, and a sampling of early and later commentaries, but depth of analysis is increased. This level delves into more interpretations of text and Rashi than Track A, and there is an expectation of mastery appropriate for a level 2 course. Goals are advanced proficiency in all commentaries to prepare students for intensive seminary studies.
Course Objectives:
 Gain a command of loshon hakodesh and a profound appreciation of Gd’s Torah and our classic interpreters of the texts.
 Learn middos development and moral and ethical standards as portrayed in the lives of the Patriarchs, Matriarchs, and other Biblical personalities.
 Use the text as a spark to explore the philosophical concepts contained therein and expand the scope and depth of their understanding of תורה השקפה.
 Become comfortable and selfsufficient reading Biblical text, including the ability to:
 develop reading fluency and speed in both print and rashi script.
 expand their vocabulary and understanding of Biblical Hebrew
 comprehend root words and be able to recognize and translate different conjugations of root words.
 break down and translate a פםוק.
 develop proficiency reading commentaries including the ability to:
 identify the question, answer, and supporting evidence from within a commentary.
 bridge the commentary back into the text to enhance understanding.
 compare and contrast different commentaries
Scope and Sequence:
Unit 1: Bamidbar
 Uniqueness of Shevet Levi
 Moshe’s talmidim
 Numbering the Sons of Levi
 Bad Neighbors/Good Neighbors
Unit 2: Naso
 Sotah
 Birkas Kohanim
Unit 3: Behaaloscha
 Chovav and the Aron’s Travels
 The Complainers
 Kivros Hata’ava
 Loshon Hora about Moshe
Unit 4: Korach
 The uprising and Related Topics
Unit 5: Chukas
 Miriam;s Death and Mai Meriva
 Aharon’s Death
 Copper Snake
Unit 6: Balak
 Bilam and Balak
 Sin in Shitim
Assessments
 Students will be tested with a written assessment approximately twice a month on the content they have learned.
 Students will be quizzed daily with translation review assessments
 Students will have oral midterm and final. It will be a skill based review of key commentaries learned throughout the semester.
JUDAIC STUDIES
ספר במדבר: The Book of Numbers – Track C – Honors
TEXTS:
 Sefer Bamidbar – Hebrew with commentaries for classroom use.
 Sefer Bamidbar – Metzudah for out of class use.
 Suppliments are provided by teacher containing Midrashim, Acharonim, Gemara, and Halacha that are pertinent to subject matter.
Course Description:
This Bible study course is track based to allow for appropriate and focused skill development. It allows for an in depth study of the fourth book of the Torah, the Book of Numbers. This is the most advanced Chumash class offered at Atara. Students are exposed to complex insights, interpretations, references to passages in both written and oral Torah, and a wide range of early and later commentaries. The goals are profound comprehension of the philosophy and message of the sections of Bamidbar plus proficiency in texts and commentators. Students are prepared for the most prestigious of seminaries in the United States and abroad.
Course Objectives:
 Gain a command of loshon hakodesh and a profound appreciation of Gd’s Torah and our classic interpreters of the texts.
 Learn middos development and moral and ethical standards as portrayed in the lives of the Patriarchs, Matriarchs, and other Biblical personalities.
 Use the text as a spark to explore the philosophical concepts contained therein and expand the scope and depth of their understanding of תורה השקפה.
 Become comfortable and selfsufficient reading Biblical text, including the ability to:
 develop reading fluency and speed in both print and rashi script.
 expand their vocabulary and understanding of Biblical Hebrew
 comprehend root words and be able to recognize and translate different conjugations of root words.
 break down and translate a פםוק.
 develop proficiency reading commentaries including the ability to:
 identify the question, answer, and supporting evidence from within a commentary.
 bridge the commentary back into the text to enhance understanding.
 compare and contrast different commentaries
Scope and Sequence:
Unit 1: Bamidbar
 Uniqueness of Shevet Levi
 Moshe’s talmidim
 Numbering the Sons of Levi
 Bad Neighbors/Good Neighbors
Unit 2: Naso
 Sotah
 Birkas Kohanim
Unit 3: Behaaloscha
 Chovav and the Aron’s Travels
 The Complainers
 Kivros Hata’ava
 Loshon Hora about Moshe
Unit 4: Korach
 The uprising and Related Topics
Unit 5: Chukas
 Miriam;s Death and Mai Meriva
 Aharon’s Death
 Copper Snake
Unit 6: Balak
 Bilam and Balak
 Sin in Shitim
Assessments
 Students will be tested with a written assessment approximately twice a month on the content they have learned.
 Students will be quizzed daily with translation review assessments
 Students will have oral midterm and final. It will be a skill based review of key commentaries learned throughout the semester.
JUDAIC STUDIES
HEBREW LANGUAGE I
Course Description
The focus of the Hebrew Language sequence is to stress the dual components of grammar and literature. This course concentrates on the development of a working vocabulary in conversational Hebrew. The verb and its conjugation, sentence development and composition are all stressed. Extensive reading and writing both in and out of class are necessary components of this course. Complex verb forms are stressed in grammar. Conversational Hebrew and Israeli publications are utilized throughout the program. This sequence promotes a love for the Hebrew language and to impart skills in conversation, reading and writing. Each succeeding course is designed to build upon the students’ previous knowledge.
Course Objectives
Students who completed this level will be able to:
Speak:
 in dialogues about school, family, entertainment, personal preference, the weather, or place description – 15 sentences per speaker
 in an interview: ask questions, answer, report – 15 sentences per speaker
 express an opinion and support the opinion with reasons – 56 sentences
Write:
 short notes (greeting, apology, thanks, invitation)
 a personal letter 15 sentences
 an impersonal letter (announcement, request, report) 10 sentences
Read and comprehend:
 an informative paragraph 1520 sentences
 an opinion supported by reasons
 a short story – 1530 sentences
 a simple poem, or a few biblical verses
Listen to and understand:
 a short dialogue about daily life – up to 24 sentences
 a simple song
 a short informative lecture about modern life, tradition and habits
Recognize and use the following structures:
 Morphology:
 Past tense of the following verb patterns: pa’al, pi’el, hiph’il, hitpa’el (shlemim);(in pa’al)
 Declension of the prepositions et, im, shel
 Prefixes and suffixes of the future tense
 Recognition of regular verbs (shlemim) in all seven verb patterns (binyanim)
 Syntax:
 Agreement of nouns and adjectives in number and gender and agreement using the definite article
 Three forms of nominal clauses in all three tenses
 Impersonal verbal clauses
 Impersonal nominal clauses
 Two kinds of object clauses: with the conjunction sh’ and with interrogative adverbs
 Modals
 Identifying parts of speech and word order
Scope and Sequence
The following vocabulary units will be taught and integrated into the above course objectives:
Unit 1: Household
Unit 2: School
Unit 3: Grocery
Unit 4: Clothing/Shopping
Assessments:
Attendance and participation: 15%
Assignments and homework: 25%

Frequent nightly readings and written assignments

One large project per unit
Tests and quizzes: 30%

Quizzes will be given half way through each unit.

Tests will be given at the end of each unit.

Oral discussion labs once per week
Midterm or final: 30%
JUDAIC STUDIES
HEBREW LANGUAGE II
Course Description:
The focus of the Hebrew Language sequence is to stress the dual components of grammar and literature. This course concentrates on the development of a working vocabulary in conversational Hebrew. The verb and its conjugation, sentence development, and composition are all stressed. Extensive reading and writing both in and out of class are necessary components of this course. Complex verb forms are stressed in grammar. Conversational Hebrew and Israeli publications are utilized throughout the program. This sequence promotes a love for the Hebrew language and to impart skills in conversation, reading and writing. Each succeeding course is designed to build upon the students’ previous knowledge.
Course Objectives
Students who completed this level will be able to:
Speak:
 in conversation on any topic – 20 sentences per speaker
Read:
 press releases and articles in journalistic style in elementary Hebrew of 3035 sentences
 a short story partially adapted to elementary Hebrew of 70 – 100 sentences
 poetry, midrashim, or biblical verses, with general comprehension, based on key words, syntactic structures, and morphology
Write:
 creating tables from text
 a personal or historic chronological report ~ 15 sentences
 a theoretical analysis of reasons, results, and purposes of ~ 2 sentences
Listen to and understand:
 simple TV or radio news (general understanding)
 a dialogue in standard Hebrew with ~ 25 sentences per speaker
 the main ideas of a simple song based on a single hearing
Recognize and use the following structures:
 Morphology:
 Normal formation of gerunds in the active conjugations and in the common paradigms: several irregular formations of gerunds
 Future tense in the conjugations pa’al, pi’el, hiph’il, hipa’el (shlemim); (in pa’al)
 Common paradigms in the active conjugations
 Declension of all prepositions with plural noun suffixes (el, al)
 Declension of all prepositions with singular noun suffixes (etzel, bishvil, l’yad)
 Declension of prepositins with irregular suffixes (beyn, m’)
 Past participles of pa’al (shlemim and)
 Common Hebrew suffixes and patterns of nonHebrew words
 The possessive
 Syntax:
 Placement of constructstates (smichut) in sentences
 Placement of gerunds in sentences
 Formation of expressions and clauses of cause, time, purpose, result, comparison, contrast, concession
 Actual conditional clauses
 Copulas
Scope and Sequence
The following vocabulary units will be taught and integrated into the above course objectives:
Unit 1: Review of concepts covered in Hebrew Language I
Unit 2: Restaurant and food preparation
Unit 3: Shabbos and Holidays
Unit 4: Bank, money, and financial terminology
Assessments:
Attendance and participation: 15%
Assignments and homework: 25%

Frequent nightly readings and written assignments

One large project per unit
Tests and quizzes: 30%

Quizzes will be given half way through each unit.

Tests will be given at the end of each unit.

Oral discussion labs once per week
Midterm or final: 30%
JUDAIC STUDIES
The Weekly Parsha
Course Description:
This class will feature an overview of each week’s Torah portion. The overview will present the themes and major points as they are divided by the seven Aliyos. Additionally, specific insights will be discussed, with a focus on ideas that lend themselves to practical application in the day to day lives of the students
Course Objectives:
Students will become familiar with the general content of each week’s Torah portion and acquire insights that will add meaning ot these ideas. Together, they will help the students develop an appreciation and feel for the annual cycle of the reading of the Torah and its connection to the flow of the Jewish year and our daily lives. Students will come to class knowing the number of verses and mitzohs in the current week’s portion as well as the date in the Hebrew Calendar.
Assessments:
There will be a weekly quiz on the previous week’s class and a general review and test each quarter.
Scope and Sequence:
Unit 1: Devarim
 Week 1 – Ha’azinu
 Week 2 – Vizos HaBracha
Unit 2: Braishis
 Braishis
 Noach
 Lech Licha
 Vayeira
 Chayei Sara
 Toldos
 Vayetzei
 Vayishlach
 Vayeishev
 Mikaitz
 Vayigash
 Vayechi
Unit 3: Shemos
 Shemos
 Vaera
 Bo
 Beshalach
 Yisro
 Mispatim
 Teruma
 Tetzaveh
 Ki Sisa
 Vayakhel
 Pikudei
Unit 4: Vayikra
 Vayikra
 Tzav
 Shemini
 Tazriah
 Metzorah
 Acharei Mos
 Kedoshim
 Emor
 Behar
 Bechukosai
Unit 5: Bamidbar
 Bemidbar
 Naso
 Behaloscha
 Selach
JUDAIC STUDIES
Judaic Art
Course Description
This Judaic Art course is an opportunity for students to work with many different media. The topics covered include instruction in the fundamentals of painting, drawing, and calligraphy. Each student’s creativity and expression are encouraged in a supportive and confidence boosting environment. The goal of the course is to teach the traditional principles of art within a Judaic art framework. The curriculum is focused on the use of color, proportion, technique, and imagery to create works of art that have emotional undertones. Thoughts and ideas are represented through illustration and design.
Course Objectives
Students should be able to:

select and use art media, subject matter, and symbols for expression and communication;

know the elements of art and the principles of design and how they are used in the visual arts;

solve visual arts problems with originality, flexibility, fluency, and imagination;

use materials, methods, information, and technology in a safe and ethical manner;

perceive, reflect upon, and evaluate the characteristics, purposes, and merits of their work and the work of others;

identify, analyze, and apply criteria for making visual aesthetic judgments;

understand and execute a project that allows them to take an emotional or nontangible idea and bring it to a visual form;

learn to selfcritique and peercritique art in a supportive environment;

learn to accept challenges, discover new art concepts and allow themselves to be stretched beyond their natural comfort zone;

appreciate the reality that to get more impressive and creative results, trial and error and patience are essential components;

understand the importance of negative and positive space within a design and be able to use and adjust their ideas accordingly;

learn about proper layout and correct margins within a design;

understand theory related to using color;

understand how to use the color wheel to complement their art as well as convey depth and distance based on shade and tints;
Scope and Sequence

Micrography learn the techniques of micrography art and be able to manipulate this art form to create texture and depth within their drawings

What is it?

How is it done?

Rose tutorial


What potential does it have?

“hi” visual

Negative/positive space

Leaf drawings filled



Creating a design

What is your message

What is implied

What is important

Create brainstormed word list

Translation

Association




Harry Chaplin – Flowers Are Red

Realistic vs. imaginary

No limitations


Art Psychology: Beyond Three

More difficult

More creative thinking process

Create 4 sketches

Sketch vs. drawing



Choose your design

Create 4 representations in sketch form

Draw realistic elements

Copy and paste four full size options

Hang on wall

Compare from distance and combine best aspects into final layout



Layout

Standard size/economic options for framing

Building size to include proper margins

Understanding the eye needs space

Where to create spaces



Parts of one whole

Create each image independently

Experiment with fill vs. no fill

Create natural texture

Mix and match variations

Create master template

Use guide underneath

Use reference



Micrography Tips

Cut out/ guide for following

Size matters

Extensions and spacing


Color!

Pastel color wheel

Pastel techniques

Hand/tissue/towel

Broad, tip, corner

Radial



Calligraphy

Use of traditional ink and nibs to create calligraphic Hebrew letters and designs

Fundamentals of ink properties, proper care pressure, and cleaning procedure

Basics of one Hebrew font

How to align letters within texts

Adjust kerning and leading within hand formed letters

Some “safris” rules and guidelines

“point counting” between words and lines to create personalized artwork

Projects
Project 1:
Students will learn to create proper blocked text in a standard size and color
Project 2:
Students will learn to arch and stretch letters within circular designs
Students will learn to blend color and pattern within their letters and designs
Students will learn to use ink and color for illumination
Project 3:
Students will create a final piece of artwork that incorporates all of their skills. This project will be the culmination of all elements learned throughout the year. Students will be asked to select one paragraph and illuminate using any or all components of micrography and calligraphy, via size and color effects and layout and design to create a personalized piece of Judaica art.
Judaic Studies
BEKIYUSBAMIDBAR
Course Description
A Chumash Bikiyus course has been adopted by many of the preeminent girls high schools across the country as a complement to the Chumah Be’iyun course. This course offers the students a broader philosophical perspective, and provides the girls with a more expansive understanding of the timeline and chronology of the Chumash. The primary focus of the course is the key elements of the Book of Bamidbar. Several classes are dedicated to learning about Rosh Hashana and Yom Kippur with each including enhanced appreciation of their precise positions on the Jewish calendar.
Course Objectives

Students will learn the major events, key personalities, and Ma’amarei Chazal from Bamidbar

Students will apply these significant lessons to their lives

Students will recognize the relevance of each book to their generation and recognize the eternal message of the sefer

Students will know key Ma’amarei Chazal

Students must review notes consistently
Scope and Sequence
Unit 1 Names of the Sefer and the meanings and messages of each name

Bamidbar

Chumash Hapikudim
Unit 2

Counting Shevet Levi

Degalim

Nazir
Unit 3

Birchas Kohanim

Pesach Sheini

Yisro the rest of the story
Unit 4

Miriam’s complaint against Moshe

Misonenim

Korach
Unit 5

Moshe’s “failure”

Bilaam

Pinchas
Unit 6

Kashering

Tevilas Keilim

Bnos Tzelafchad

Ir Miklat
Unit 7

Authenticity of the Torah record

Brochoh

Prophecy
Unit 8

Authority of Leadership

Humanity of Leadership

Land of Israel

Zealotry
Included in what is addressed while analyzing each theme will be:

Timing

Context

Characters and their backgrounds

Impact on the characters

Impact on the “klal”

Impact on our destiny
Assessments
Students will be assessed through a combination of factors

Class participation

Frequent quizzes

Projects

Homework assignments
 Quarterly Tests
Judaic Studies
Jewish Philosophy
Text:
Orchos Tzaddikim, The Ways of the Righteous
Course Description:
Jewish Philosophy class meets once per week. Its main purpose is to awaken an awareness of selfimprovement in students, and to instill a striving within each student to work on one’s middos, character traits. The sefer Orchos Tzaddikim, The Ways of the Righteous, is used as a tool to highlight certain character traits, while the rest will be summarized outside of the text. It is split into 28 chapters. Certain key paragraphs of each chapter will be read in the text. The students will take notes as well as discuss the various points. Each chapter focuses entirely on one middah.
Course Objectives:

To awaken an awareness of selfimprovement in students

To instill a striving within each student to work on her middos

To serve as a forum in which each student will feel comfortable expressing herself and listening to her peers

To use the text as a springboard for many meaningful discussions in which many important religious ethics questions will be answered
Scope and Sequence:

Chapter 1: Shaar HaGa’ava/ Haughtiness

Good pride vs. bad pride

Confidence vs. arrogance

What ga’ava leads to

How to uproot ga’ava

Chapter 2: Shaar Ha’anava/Humbleness

7 ways to recognize a humble person

A humble person’s relationship with Hashem

What anava leads to

People in Tanach who displayed anava

Chapter 3: Shaar Habusha/Shame

4 levels of Busha in regard to sinning

Feeling shame after sinning

Abusing busha; embarrassing someone

Good shame vs. bad shame

Chapter 4: Shaar Ha’azus/Impudence

What azus leads to

How Hashem views & judges an “az panim”

When to use azus for the good

Chapter 5: Shaar Ha’ahava/Love

Highest level in serving Hashem

6 types of corrupt love

Mitzvah of Loving fellow Jew

People in Tanach who displayed ahavas Hashem

Shir HaShirim as a mashal

Chapter 6: Shaar Ha’sinah/Hatred

What sinah causes

Sinas chinam: baseless hatred

2 types of sinah

People in Tanach who displayed sinah

Mitzvah to hate sheker/falsehood
Assessments:
Attendance and participation: 15%
Assignments and homework: 25%

Nightly reading will be given as homework.

Periodic written homework will be given as a review of material covered in class.

Writing assignments will be given quarterly.
Tests and quizzes: 30%

Quizzes will be given half way through each unit.

Tests will be given at the end of each unit.
Midterm or final: 30%
Pacing
The entire Sefer Orchos Tzadikim will be learned with the following timeline:
Sept Oct: the first 4 chapters (Conceit, Humbleness, Shame, Impudence)
Nov Dec: the next 6 chapters (Love, Hatred, Mercy, Cruelty, Happiness, Worry)
Jan: 3 chapters (Regret, Anger, Desire)
FebMarch: the next 7 chapters (Jealousy, Alacrity, Laziness, Generosity, Stinginess, Memory, Forgetting)
April –May: the next 6 chapters (Silence, Lies, Truth, Flattery, Slander, and Repentance)
June: the final 2 chapters (Torah, Fear of Heaven)
GENERAL STUDIES
Modern World History
Course Description:
Modern History surveys world events from the Renaissance to the present. The major
focus is on Western civilization. Political and cultural events associated with the
Renaissance, the rise of nationstates, war and diplomacy, changing economic
systems, and revolutions. The course will end with an indepth study of World War I
and II. Historical fiction, biographies, films, and other audiovisual materials are part of
the classroom experience. A variety of approaches – chronological, thematic,
historiographic, and biographical – are possible.
Course Objectives:
Students will:
 Read maps and predict the effects of geography on human cultures and societies
 Use primary and secondary sources to construct valid answers to the essential
questions  Defend premises and arguments with valid support from primary and secondary
sources  Debate historical issues and interpretations using precise language and supporting
evidence  Write persuasive paragraphs and papers with strong theses and support from primary
and secondary sources  Develop and apply terms for analyzing religions, and social, political, and economic
organizations  Comprehend and apply elements of art criticism to historical works of art
 Prepare for and argue in debates or discussion
 Apply refined historical skills (construction of written and oral arguments, use of valid
primary and secondary sources to defend arguments, drawing valid inferences, use of
precise language, analysis of maps, charts, and graphs)
Scope and Sequence:
Unit 1: Renaissance and Reformation
 Renaissance art
 Renaissance humanism
 Martin Luther and his ideas
 Calvinism and Anglicanism
 Propaganda in the Protestant Reformation
 The Catholic Reformation and Counter Reformation
Unit 2: Early Modern Europe and the Old Regime
 The Price Revolution and changes to daily life in early modern Europe
 Social Hierarchy and daily life in early modern Europe
 Early modern European women and witchcraft
 English Constitutionalism Elizabeth to William and Mary
 Henry IV and Louis XIII
 Louis XIV as a model of absolutism
Unit 3: The Scientific Revolution and the Enlightenment
 Galileo
 Scientific method and discoveries
 Isaac Newton a scientific view of the universe
 The Enlightenment Locke, Rousseau, Voltaire
Unit 4: The French Revolution and Conservative Reaction
 Enlightenment Ideas
 Social and Economic Background to The French Revolution
 The Summoning of the Estates General
 The Role of Women and Working Classes
 The Liberal Constitution of 1791
 The Radical Phase and the Reign of Terror
 Napoleon
 The lasting effects of the French Revolution
 The Congress of Vienna
Unit 5: The Industrial Revolution and Early Industrial Europe
 From the cottage system to the Factory system
 Factory Life
 Worker responses to the Factory system
 Social ranking – middle class and working class
 The Growth of Industrial cities
Unit 6: Nationalism and Imperialism
 Nationalism
 The new Imperialism
 Motives and Methods of European Imperialism
 Reactions to European Imperialism
Unit 7: World War I
 Long and short term causes of World War I
 Political Geography of Europe in 1914
 The Schlieffen Plan
 Trench Warfare
GENERAL STUDIES
American Government
Course Description:
The American Government course focuses on the United States’ founding principles
and beliefs. Students will study the structure, functions, systems, powers of
government at the national, state, and local levels, and political processes. Content will
include factors that influence U.S. Government. This course prepares students to
become responsible/aware members of American society.
Course Objectives:
Students will:
 understand major political ideas and forms of government in history.
 understand how constitutional government, as developed in the United States, has
been influenced by people, ideas, and historical documents.  understand the roles played by individuals, political parties, interest groups, and the
media in the U.S. political system, past and present.  understand the American beliefs and principles reflected in the U.S. Constitution.
 understand the structure and functions of the government created by the U.S.
Constitution.  understand the processes for filling public offices in the U.S. system of government.
 understand the role of political parties in the U.S. system of government.
 understand the similarities and differences that exist among the U.S. system of
government and other political systems.  understand rights guaranteed by the U.S. Constitution.
 understand the importance of voluntary individual participation in the U.S. democratic
society.  understand the importance of the expression of different points of view in a
democratic society.
Scope and Sequence:
 Introducing Government in America
 The Constitution
 Federalism
 Civil Liberties and Public Policy
 Civil Rights and Public Policy
 Public Opinion and Political Action
 Political Parties
 Nominations and Campaigns
 Elections and Voting Behavior
 Interest Groups
 Congress
 The Presidency
 The Congress, the President, and the Budget: Taxing and Spending
 The Federal Bureaucracy
 The Federal Courts
 Economic Policymaking
 Social Welfare Policymaking
 Policymaking for Health Care and the Environment
 National Security Policymaking
 The New Face of State and Local Government
 Introduction Government in Ohio
 The Ohio Constitution
 Political Parties, Campaigns, Elections, and Interest Groups in Ohio
 The Ohio Legislature
 The Governor and Bureaucracy of Ohio
 The Texas Court System
 Local Government
GENERAL STUDIES
US History
Course Description:
This course is a comprehensive study of the development of the United States
designed to provide students with the factual knowledge and analytical skills necessary
to deal critically with U.S. history and to introduce students to important issues in the
development of our constitutional democracy. This course provides a oneyear survey
of American history from the Colonial Period and the American Revolution to the
present day, with an emphasis on the twentieth century. Students come to understand
the importance of geography in the historical process, the development of a
constitutional democracy, the social/cultural identity of a multinational and multiracial
people, the importance of science and technology in the development of an economy
based on both agriculture and industry, and the developing role of the U.S. as a world
power. Using the textbook and primary documents, students will develop skills
necessary to arrive at conclusions on the basis of informed judgment and to present
reasons and evidence clearly and persuasively orally and in writing.
Course Objectives:
 Reading and Thinking Critically
 Articulating and Defending Thoughts Logically In Oral and Written Form
 Analyzing and Evaluting Primary and Secondary Sources
 Determing Cause and Effect
 Organizing and Ranking Information
 Reading and Using Maps
 Mastering factual material
Scope and Sequence:
Unit 1: Colonial America
 England and the New World
 The Eighteenth Century
 The Colonial Crisis
 The Revolution
Unit 2: The Revolutionary Period
 Confederation and Constitution
 Foundations of American Government
 Federalists and Republicans
 The Early Republic
Unit 3: Antebellum America
 The Market Revolution
 Jacksonian America
 Abolitionism
 Slavery and Westward Expansion
 Texas and Mexico
Unit 4: The Civil War Era
 Secession and War
 The Civil War: Course
 The Civil War: Consequences
 Reconstruction
Unit 5: The Gilded Age
 Industrial America
 Urbanization
 The SpanishAmerican War
 Progressivism
Unit 6: The World and America
 The Great War and Versailles
 LaissezFaire America
 The Great Depression
 The New Deal
 The Second World War: Causes
Unit 7: Cold War America
 The Second World War: Course
 Cold War: Containment
 PostWar America
 The Civil Rights Era
 The 1960’s
 Cold War: Détente to Reagan
 The Age of Terror
GENERAL STUDIES
Physics
Course Description:
Physics provides a handson experience with the basic principles of physics, as well as
rigorous practice using logical thinking skills. Students use sophisticated computer tools
to gather and analyze data about simple physical phenomena and use their results to
develop various physical laws and to make predictions about additional phenomena.
They then confirm or refute their predictions by experiment. Topics include mechanics,
thermodynamics, electricity and magnetism, light and optics, and waves and sound.
Additional emphasis is placed on the development of computer and laboratory skills.
Course Objectives:
Students will be able to:
 Identify questions and concepts that guide scientific investigations;
 Design and conduct scientific investigations;
 Use technology and mathematics to improve investigations and communications;
 Formulate and revise explanations and models using logic and evidence (critical
thinking);  Recognize and analyze explanations and models; and Communicate and support a scientific argument.
Scope and Sequence:
UNIT 1: Motion
 Graph interpretations
 Position vs. time
 Velocity vs. time
 Acceleration vs. time
 Problem solving
 Using graphs (average velocity, instantaneous velocity, acceleration, displacement, change in velocity)
 Uniform acceleration including free fall (initial velocity, final velocity, time,displacement, acceleration, average velocity)
 Projectiles
 Independence of horizontal and vertical motion
 Problemsolving involving horizontally launched projectiles
UNIT 2: Forces, momentum and motion
 Newton’s laws applied to complex problems
 Gravitational force and fields
 Elastic forces
 Friction force (static and kinetic)
 Air resistance and drag
 Forces in two dimensions
 Adding vector forces
 Motion down inclines
 Centripetal forces and circular motion
 Momentum, impulse and conservation of momentum
UNIT 3: Energy
 Gravitational potential energy
 Energy in springs
 Nuclear energy
 Work and power
 Conservation of energy
UNIT 4: Thermodynamics
 Heat
 Temperature
 Specific heat capacity
 Heat and work
 Basic laws of Thermodynamics
UNIT 5: Waves
 Wave properties
 Conservation of energy
 Reflection
 Refraction
 Interference
 Diffraction
 Light phenomena
 Ray diagrams (propagation of light)
 Law of reflection (equal angles)
 Snell’s law
 Diffraction patterns
 Wave – particle duality of light
 Visible spectrum and color
UNIT 6: Electricity and magnetism
 Charging objects (friction, contact and induction)
 Coulomb’s law
 Electric fields and electric potential energy
 DC circuits
 Ohm’s law
 Series circuits
 Parallel circuits
 Mixed circuits
 Applying conservation of charge and energy (junction and loop rules)
 Magnetic fields and energy
 Electromagnetic interactions
GENERAL STUDIES
Algebra 2
Course Description:
This course extends the skills and concepts introduced in Algebra 1 and covers the
following topics: absolute value inequalities; linear, quadratic and absolute value
functions (their graphs and defining features); properties of exponents including
negative, zero and fractional values; systems of linear and quadratic equations and
inequalities; quadratics equations with complex number solutions; exponential and
logarithmic functions (properties, graphs, solving equations and applications);
polynomial functions (graphing, finding zeros and important theorems); square root and
cube root functions; rational functions (graphing, finding zeros, and asymptotes); and
conic sections. Also, since problem solving is an integral part of this course, students
spend a considerable amount of time translating problems presented in written form to
equivalent statements in mathematics. Then, the students find solutions to the
problems and express the results in written form. Algebra 2 is a prerequisite for all
advanced math courses.
Course Objectives:
 Students will be able to analyze and evaluate the characteristics of step, piecewise,
exponential, and quadratic functions, as well as inverses of functions  Students will interpret and apply the characteristics of functions with regard to a given
context and analyze and evaluate rates of change, both constant and variable, within
the basic function families.  Students will be able to analyze and evaluate geometric and arithmetic sequences as
functions.  Students will analyze and solve quadratic equations using a variety of techniques and
represent, simplify, and operate with complex numbers.  Students will be able to analyze and solve problems involving probabilities,
permutations, and combinations, as well as analyze and evaluate sample data,
making inferences about population means and standard deviations and using these
inferences to compare data sets.  Students will understand and apply algebraic models to quantify the association
between two quantitative variables.
Scope and Sequence:
Analyzing Equations and Inequalities
 Expressions, formulas, and properties of real numbers
 Graphs and measures of central tendency
 Solving equations and solving absolute value equations
 Solving inequalities and solving absolute value inequalities
Graphing Linear Relations and Functions
 Relations and functions
 Linear equations
 Slope
 Writing linear equations
 Scatter plots
 Special functions
 Linear inequalities
Solving Systems of Linear Equations and Inequalities
 Graphing systems and solving systems algebraically
 Cramer’s Rule
 Graphings systems of inequalities
 Linear programming and applications
 Systems in three variables
Matrices
 Adding, subtracting, and multiplying matrices
 Determinants
 Identity and inverse
 Using matrices to solve systems of equations
 Using augmented matrices
 Box and whisker plots
Exploring Polynomials and Radical Expressions
 Monomials and polynomials
 Dividing polynomials and factoring
 Roots of real numbers and radical expressions
 Rational exponents
 Solving radical equations and inqualities
 Complex numbers and simplifying expressions with complex numbers
Exploring Quadratic Functions and Inequalities
 Solving by graphing, factoring, and completing the square
 Quadratic formula and discriminant
 Sum and product of roots
 Analyzing graphs of quadratic functions
 Graphing and solving quadratic inequalities
 Standard deviation and the normal distribution
Analyzing Conic Sections
 Parabolas, circles, ellipses, hyperbolas, conic sections
 Solving quadratic systems
Exploring Polynomial Functions
 Graphing and approximating zeros
 Roots and zeros
 Using quadratic techniques to solve
 Composition of functions
 Inverse functions and relations
Exploring Rational Expressions
 Graphing Rational Functions
 Direct, inverse, and joint variation
 Multiplying, dividing, adding, and subtracting rational expressions
 Solving rational equations and inequalities
Exploring Exponential and Logarithmic Functions
 Real exponents and exponential functions
 Logarithms and logarithmic functions
 Properties of logarithms, common logarithms, natural logarithms
 Solving exponential equations
 Growth and decay
Investigating Sequences and Series
 Arithmetic sequences and series
 Geometric sequences and series
 Infinite geometric series
 Recursion and special sequences
 Fractals and the binomial theorem
Investigating Discrete Mathematics and Probability
 The counting principle
 Permutations and combinations
 Probability
 Multiplying probabilities and adding probabilities
GENERAL STUDIES
Chemistry
Course Description:
This course is a standardsbased study of fundamental chemical concepts, such as atomic theory and its relation to chemical behavior, chemical bonding, the mole and stoichiometry, molecular kinetics, energy relationships, solution dynamics, acidsbases, equilibrium, organic and biological chemistry, and nuclear interactions. This course emphasizes problemsolving skills and is designed to introduce students to both the descriptive and quantitative aspects of chemistry. When possible, new ideas are introduced through experiment or demonstration, with emphasis placed on the interpretation and analysis of data. The course teaches students to understand and apply chemical concepts while gaining an understanding of chemistry’s relationship with current societal issues and everyday life.
Course Objectives:
 Students will explore the basic building blocks of matter, investigating the quantum structure of atoms, how that structure determines properties and the organization elements on the Periodic Table. They will investigate how atoms interact, bond, and create larger structures with predictable behaviors. Students will investigate basic techniques to quantify various properties and chemical interactions and understand the mathematical means of predicting outcomes of chemical and physical changes. They will also study thermodynamic principles and the mass actions of reaction rates and equilibria that govern chemical processes. Chemistry students also will consider the larger contexts and applications of these concepts, from organic and biochemical to nuclear processes.
 Students will apply measurement, observation, statistical, and technological skills while investigating chemical concepts. Evidence and experimental data will be analyzed for reliability and possible sources of error. The use of welldesigned, memorable laboratory experiences will facilitate this application of scientific knowledge and methodology and is essential in helping students to analyze the content critically. Students will learn how ethical considerations play an important role in modern chemistryrelated fields and explore the importance of personal accountability in both individual and group work situations.
 Students will improve their ability to learn independently by researching and drawing generalizations from science related articles, books, graphs, charts, and diagrams. Regular opportunities are provided for students to clearly communicate their understanding through oral and written explanations of science concepts and laboratory experiences.
 Students will study the applications of chemistry to develop critical thinking skills.
Scope and Sequence:
Introduction to Chemistry
 What is Chemistry
 Using the Scientific Approach and Scientific Method
Measurements and Calculations
 Units
 Length, Volume, and Mass
 Uncertainty in Measurements and Significant Figures
 Unit Conversions
 Density
Matter
 Physical and Chemical Properties and Changes
 Elements and Compounds
 Pure Substances and Mixtures
 Separation of Mixtures
Chemical Foundations: Elements, Atoms, and Ions
 The Elements and Symbols
 Dalton’s Atomic Theory
 Formulas and Compounds
 Structure of an Atom
 Isotopes
 Periodic Table
 Natural States of Elements
Nomenclature
 Naming Compounds
 Naming Binary Compounds
 Naming Compounds with Polyatomic Ions
 Naming Acids
 Writing Formulas with Names
Chemical Reactions
 Evidence of Chemical Reactions
 Chemical Equations
 Balancing Chemical Equations
Reactions in Aqueous Solutions
 Predicting Reactions
 Reactions in Which a Solid Forms
 Acid Base Reactions
 Reactions of Metals and NonMetals
 Classifying Reactions
Chemical Composition
 Atomic Masses: Counting Atoms by Weighing
 The Mole and Molar Mass
 Percent Compositions and Formulas of Compounds
 Empirical Formula and Molecular Formula
Chemical Quantities
 Information Given by Chemical Reactions
 MoleMole Relationships and Mass Calculations
 Limiting Reactants
 Percent Yield
Energy
 The Nature of Energy
 Temperature and Heat; Exothermic and Endothermic Processes
 Thermodynamics and Measuring Changes in Energy
 Enthalpy – Thermochemistry
 Hess’ Law
 Quality vs. Quantity of Energy
Modern Atomic Theory
 Rutherford’s Atom
 Electromagnetic Radiation and Emission of Energy by Atoms
 Energy Levels of Hydrogen
 Bohr Model and Wave Mechanical Model
 Hydrogen Orbitals and Electron Configurations
 Atomic Properties of the Periodic Table
Chemical Bonding
 Types of Chemical Bonds
 Electronegativity, Bond Polarity, and Diapole Moments
 Stable Electron Configurations and Charges
 Ionic Bonding and Ionic Compounds
 Lewis Structures and Multiple Bonds
 Molecular Structure and VSEPR Model
 Molecules with Double Bonds
Gases
 Pressure
 Pressure and Volume: Boyle’s Law
 Volume and Temperature: Charles’ Law
 Volume and Moles: Avogadro’s Law
 The Ideal Gas Law
 Dalton’s Law of Partial Pressures
 Kinetic Molecular Theory of Gases
 Gas Stoichiometry
Liquids and Solids
 Water and Phase Changes
 Energy Requirements for Changes of State
 InterMolecular forces, Vapor Pressure, and Evaporation
 Solid State – types of Solids
 Bonding in Solids
Solutions
 Solutions
 Mass Percent and Molarity
 Dilution
 Stoichiometry of Solution Reactions
 Neutralization Reactions
 Solution Composition
Acids and Bases
 Acid Strength
 Water as an Acid and a Base
 The pH Scale
 Buffered Solutions
Equilibrium
 How Chemical Reactions Occur and Conditions that Alter Reaction Rates
 The Equilibrium Condition: a Dynamic Condition
 The Equilibrium Constant
 Heterogeneous Equilibrium
 Le Chatlier’s Principle
 Solubility Equilibrium
OxidationReduction Reactions and Electrochemistry
 Oxidation States
 OxidationReduction Between NonMetals
 Electrochemistry and Electrolysis
Organic Chemistry
 Carbon Bonding
 Alkanes
 Structural Formulas and Isomerism
 Alkenes and Alkynes
 Aromatic Hydrocarbons
 Functional Groups
 Alcohols, Aldehydes, and Ketones
 Carboxylic Acids and Esters
 Polymers
Biochemistry
 Proteins
 Enzymes
 Carbohydrates
 Nucleic Acids
 Lipids
GENERAL STUDIES
Biology
Course Description:
This course introduces students to the study of the life sciences. The ultimate goal is to produce students who are more scientifically literate and environmentally aware; therefore, the curriculum addresses attitudes, processes, knowledge science, technology, society, the environment, and careers. Topics covered include the nature of science, the structure and function of the cell, chemistry of living organisms, genetics, nucleic acid formation and function, taxonomy, a study of the characteristics of the six kingdoms of organisms, origin and diversity of life, and ecological relationships. Various laboratory investigations and other activities strengthen the mastery of topics covered.
Course Objectives:
 Understanding Organization and Development: Living organisms are composed of cellular units (structures) that carry out functions required for life. Cellular units are composed of molecules, which also carry out biological functions.
 Understanding Matter and Energy Transformations: Food is required for energy and building cellular materials. Organisms in an ecosystem have different ways of obtaining food, and some organisms obtain their food directly from other organisms. All animals and most plants depend on both other organisms and their environment to meet their basic needs.
 Understanding Heredity and Reproduction: Organisms reproduce, develop, and have predictable life cycles. Organisms contain genetic information that influences their traits, and they pass this on to their offspring during reproduction.
 Understanding Evolution and Diversity: Sometimes, differences between organisms of the same kind provide advantages for surviving and reproducing in different environments. These selective differences may lead to dramatic changes in characteristics of organisms in a population over extremely long periods of time.
 Understanding Science Practices:
 Understand Scientific Explanations: Students understand core concepts and principles of science and use measurement and observation tools to assist in categorizing, representing, and interpreting the natural and designed world.
 Generate Scientific Evidence Through Active Investigations: Students master the conceptual, mathematical, physical, and computational tools that need to be applied when constructing and evaluating claims.
 Reflect on Scientific Knowledge: Scientific knowledge builds on itself over time.
 Participate Productively in Science: The growth of scientific knowledge involves critique and communication, which are social practices that are governed by a core set of values and norms.
Assessments:
Attendance and participation: 15%
Assignments and homework: 25%
 Nightly reading will be given as homework.
 Periodic written homework will be given as a review of material covered in class.
Tests and quizzes: 30%
 Quizzes will be given half way through each unit.
 Tests will be given at the end of each unit.
 Labs will be done at least once per unit, and lab reports will count as quiz grades.
Midterm or final: 30%
Scope and Sequence:
The Nature of Life
 The Science of Biology
 What is science? How do Scientists work?
 Tools and Procedures
 The Chemistry of Life
 The nature of matter
 The properties of water
 Carbon compounds
 Chemical reactions and enzymes
Cells
 Cell Structure and Function
 Cell Theory and structure of a cell
 Plasma membrane and diffusion and osmosis
 Prokaryotic vs. Eukaryotic
 Photosynthesis
 Energy and life
 Photosynthesis overview and its chemical reactions
 Cellular Respiration
 Chemical Pathways
 Krebs Cycle and Electron Transport
 Cell Growth and Division and Regulating the Cell Cycle
Genetics
 Introduction to genetics
 Gregor Mendel
 Probability and Punnett Squares
 Mendelian Genetics
 Meiosis
 Gene linkage and maps
 DNA and RNA
 Genetic engineering
 The human genome
 Human heredity
 Human chromosomes
 Human molecular genetics
Evolution
 Darwin’s Theory of Evolution
 Evolution of populations
 Classifications
Microorganisms and Fungi
 Bacteria and viruses
 Protists
 Fungi
Plants
 Diversity
 Roots, stems and leaves
 Reproduction
 Adaptation
Invertebrates
 Sponges and Cnidarians
 Worms and mollusks
 Arthropods and echinoderms
 Comparing invertebrates
Chordates
 Nonvertebrate chordates, fish, and amphibians
 Reptiles and birds
 Mammals
 Comparing chordates
 Animal behavior
The Human Body
 Nervous system
 Skeletal, muscular, and integumentary systems
 Circulatory and respiratory systems
 Digestive and excretory systems
 Endocrine and reproductive systems
 The immune system and disease
GENERAL STUDIES
Precalculus
Course Description
In this course emphasis is placed on the many trigonometric, geometric and algebraic techniques needed for the preparation of the study of Calculus. The course takes a functional point of view towards topics and is designed to strengthen and enhance conceptual understanding and mathematical reasoning used when solving problems. The course also emphasizes the use of the graphing calculator as a tool to interpret results as well as a method of obtaining an answer. Mastery of algebraic skills is an essential prerequisite. This course surveys a variety of precalculus topics including polynomial, rational, exponential, and trigonometric functions over the real and complex numbers. Much emphasis is placed on theory, and breadth and depth of understanding as well as efficacy. A pupil who successfully completes this course is prepared for Calculus AP/AB.
Course Objectives
 Students will understand the structure of the systems of real and complex numbers, and the concept of functions and their unifying role in mathematics.
 Students will utilize algebraic and trigonometric concepts and skills, will be able to analyze and graph a variety of functions, and will acquire the necessary skills used in calculus such as evaluating limits and the concept of continuity.
 Students are expected to apply the following common skills that are relevant across all curriculum areas and career pathways: students will use technology, apply problem solving and critical thinking skills, and adapt to varied roles and responsibilities.
 Students communicate precisely about quantities, logical relationships, and unknown values through the use of signs, symbols, models, graphs, and mathematical vocabulary. Regular opportunities are provided for students to communicate through oral and written explanations of math concepts.
 Students learn to apply mathematics to everyday life.
Assessments:
Attendance and participation: 15%
Assignments and homework: 25%
 Nightly homework will be given as a review of what was covered in class
Tests and quizzes: 30%
 Quizzes will be given half way through each unit.
 Tests will be given at the end of each unit.
Midterm or final: 30%
Scope and Sequence
Linear Relations and Functions
 Relations and Functions
 Compositions of Functions
 Graphing Linear Equations
 Writing Equations
 Equations of Parallel and Perpendicular Lines
 Modeling Real World Data with Linear Functions
 Absolute Value Functions
 Graphing Linear Inequalities
Systems of Linear Equations and Inequalities
 Solving Systems of Equations in Two and Three Variables
 Using Matrices to Model Motion and Real World Data
 Determinants and Multiplicative Inverses of Matrices
 Solving Systems of Inequalities
 Linear Programming
The Nature of Graphs
 Symmetry and Coordinate Graphs
 Families of Graphs
 Graphs of Nonlinear Inequalities
 Inverse Functions and Relations
 Continuity and End Behavior
 Critical Points and Extrema
 Graphs of Rational Functions
 Direct, Indirect, and Joint Variation
Polynomial and Rational Functions
 Polynomial Functions
 Quadratic Equations
 The Remainder and Factor Theorems and the Rational Root Theorem
 Locating Zeros of a Polynomial Function
 Rational Equations and Partial Fractions
 Radical Equations and Inequalities
 Modeling Real World Data with Polynomial Functions
The Trigonometric Functions
 Angles and Degree Measure
 Trigonometric Ratios in Right Triangles
 Trigonometric Functions on the Unit Circle
 Applying Trigonometric Functions
 Solving Right Triangles
 The Law of Sines and The Law of Cosines
Graphs of Trigonometric Functions
 Angles and Radian Measure
 Linear and Angular Velocity
 Graphing Sine and Cosine Functions
 Amplitude and Period of Sine and Cosine Functions
 Horizontal and Vertical Shifts of Sine and Cosine Functions
 Modeling Real World Data with Sinusoidal Functions
 Graphing Other Trigonometric Functions and their Inverses
Trigonometric Identities and Equations
 Basic Trigonometric Identities
 Verifying Trigonometric Identities
 Sum and Difference Identities and Double Angle and Half Angle Identities
 Solving Trigonometric Equations
 Normal Form of a Linear Equation
 Distance From a Point to a Line
Vectors and Parametric Equations
 Geometric and Algebraic Vectors
 Vectors in Three Dimensional Space
 Perpendicular Vectors
 Applications with Vectors
 Vectors and Parametric Equations
 Modeling Motion Using Parametric Equations
 Transformational Matrices in Three Dimensional Space
Polar Coordinates and Complex Numbers
 Polar Coordinates
 Graphs of Polar Equations
 Polar and Rectangular Coordinates
 Polar Form of a Linear Equation
 Simplifying Complex Numbers
 The Complex Plan and Polar Form of Complex Numbers
 Products and Quotients of Complex Numbers in Polar Form
 Powers and Roots of Complex Numbers
Conics
 Introduction to Analytic Geometry
 Circles, Ellipses, Hyperbolas, and Parabolas
 Rectangular and Parametric Forms of Conic Sections
 Transformation of Conics
 Systems of Second Degree Equations and Inequalities
Exponential and Logarithmic Functions
 Real Exponents
 Exponential Functions
 The Number e
 Logarithmic Functions
 Common Logarithms and Natural Logarithms
 Modeling Real World Data with Exponential and Logarithmic Functions
Sequences and Series
 Arithmetic and Geometric Sequences and Series
 Infinite Sequences and Series
 Convergent and Divergent Series
 Sigma Notation and the nth Term
 The Binomial Theorem
 Special Sequences and Series
 Sequences and Iterations
 Mathematical Induction
Combinatorics and Probability
 Permutations and Combinations
 Permutations with Repetitions and Circular Permutations
 Probability and Odds and Probabilities of Compound Events
 Conditional Probabilities
 The Binomial Theorem and Probabilities
Statistics and Data Analysis
 The Frequency Distribution
 Measures of Central Tendency
 Measures of Variability
 The Normal Distribution
 Sample Sets of Data
GENERAL STUDIES
Algebra
Course Description:
Students will explore a variety of methods to solve equations, graph functions, use mathematical symbols to represent aspects of the physical world, and learn to communicate effectively using mathematical notation. The course covers the following topics: basic operations on polynomial expressions, solutions to linear and quadratic equations, linear functions (graphing, the slope and yintercepts of lines, writing the equations of lines), systems of linear equations and inequalities, quadratic and exponential functions (graphing and their properties), properties of exponents, properties of rational and irrational numbers, and simplification of radical expressions. Also, since problem solving is an integral part of this course, students spend a considerable amount of time translating problems presented in written form to equivalent statements in mathematics. Then, the students find solutions to the problems and express the results in written form.
Course Objectives:
 Students will translate, evaluate and simplify expressions, order of operation; Words to symbols and graph on a coordinate plane: ordered pairs, linear equations, linear inequalities, relations and functions.
 Students will solve equations and inequalities involving angle measures.
 Students will classify numbers into their appropriate systems.
 Students will calculate the probability and odds of a simple event using the results to predict the outcome of future events, and differentiate between odds and probability of a simple event.
 Students will recognize, analyze and extend patterns and recognize and use properties of Algebra.
 Students will formulate a linear equation or inequality given a word problem and vice versa.
 Students will determine if a relation is a function and evaluate a function for a given value and will identify the domain, range, and inverse of a relation showing the relation as sets of ordered pairs, tables, mappings and graphs.
 Students will perform the four basic operations on rational numbers.
 Students will determine the slope of a line given two points, a linear equation or a graph.
 Students will compare and order real numbers including square roots.
 Students will solve and graph compound inequalities.
 Students will determine the x and y intercepts of linear graphs from their equations and will solve linear equations and inequalities and graph solutions on a number line.
 Students will classify polynomials and determine the degree for any polynomial.
 Students will solve quadratic equations by factoring.
 Students will solve rational equations and identify and solve proportions using them in applications.
 Students will simplify polynomials using appropriate exponent rules and give answers in either descending or ascending order of exponents.
 Students will multiply polynomials using FOIL on the distributing property and appropriate exponent rules and give answers in either descending or ascending order of exponents.
 Students will factor out the GCF of a polynomial and factor polynomials completely using difference of two squares, perfect square trinomials, trial and error, or regrouping.
 Students will simplify rational expressions using the four basic operations and determine the undefined values.
Assessments:
Attendance and participation: 15%
Assignments and homework: 25%
 Nightly homework will be given as a review of what was covered in class
Tests and quizzes: 30%
 Quizzes will be given half way through each unit.
 Tests will be given at the end of each unit.
Midterm or final: 30%
Scope and Sequence:
Exploring Expressions, Equations, and Functions
 Variables and Patterns
 Order of Operations
 Properties
 Identity and Equality
 Distributive
 Associative and Commutative
Exploring Rational Numbers
 Integers and Number Line
 Rational Numbers
 Adding/Subtracting
 Multiplying/Dividing
 Square Roots and Real Numbers
Solving Linear Equations
 With Addition/Subtraction
 With Multiplication/Division
 MultiStep Equations and with Variables on Both Sides
 Formulas
Proportional Reasoning
 Ratios and Proportions
 Percent and Percent Change
 Probability and Odds
 Direct and Inverse Variation
Graphing Relations and Functions
 The Coordinate Plane
 Relations and Functions
 Graphing Linear Equations
 Writing Equations from Patterns
Analyzing Linear Equations
 Slope
 Writing Linear Equations
 Point Slope and Standard Form
 Slope Intercept From
 Graphing Linear Equations
 Midpoints
 Perpendicular and Parallel Lines
Solving Linear Inequalities
 With Addition/Subtraction
 With Multiplication/Division
 MultiStep
 Compound Inqualities
 Absolute Value
 Graphing Inequalities with Two Variables
Solving Systems of Linear Equations and Inequalities
 Using Graphing
 Using Substitution
 With Elimination Using Addition/Subtraction and Multiplication
 Graphing Systems of Inequalities
Exploring Polynomials
 Multiplying and Dividing Monomials
 Scientific Notation
 Polynomials
 Addition/Subtraction
 Multiplying by a Monomial
 Multiplying by another Polynomial
 Special Products
Using Factoring
 GCF and Distributive Property
 Factoring Trinomials
 Difference of Squares and Perfect Squares
 Solving Equations by Factoring
Exploring Quadratic and Exponential Functions
 Graphing Quadratic Functions
 Solving Quadratics by Graphing
 The Quadratic Formula
 Exponential Functions and Growth and Decay
Exploring Rational Expressions and Equations
 Simplifying
 Multiplying/Dividing
 Dividing Polynomials
 Rational Expressions with Like and Unlike Denominators
 Mixed Expressions and Complex Fractions
 Solving Rational Equations
Exploring Radical Expressions and Equations
 Simplifying
 Operations with Radical Expressions
 Radical Equations
 Completing the Square
GENERAL STUDIES
Economics
Course Description:
The general objective of this course is for students to master fundamental economic concepts, appreciate how the principal concepts of economics relate to each other and understand the structure of economic systems. Students will use economic concepts in a reasoned, careful manner in dealing with personal, community, national and global economic issues. They will use measurement concepts and methods such as tables, charts, graphs, ratios, percentages and index numbers to understand and interpret relevant data. They should learn to make reasoned decisions on economic issues as citizens, workers, consumers, business owners, managers and members of civic groups.
Course Objectives:
 Students understand common economic terms and concepts and economic reasoning.
 Students analyze the elements of the United States market economy in a global setting.
 Students analyze the influence of the U.S. government on the American economy.
 Students analyze the elements of the United State labor market in a global setting.
 Students analyze the aggregate economic behavior of the U.S. economy.
 Students analyze issues of international trade, and explain how the U.S. economy affects, and is affected by, economic forces beyond its borders.
 Students will demonstrate an understanding of income and spending issues facing individuals and businesses.
 Students will demonstrate an understanding of how banks and other financial institutions operate.
 Students will demonstrate an understanding of effective investment practices.
 Students will analyze the role and importance of credit in personal and business finance.
Assessments:
Attendance and participation: 15%
Assignments and homework: 25%
 Nightly reading will be given as homework.
 Periodic written homework will be given as a review of material covered in class.
 Writing assignments and/or projects will be given quarterly.
Tests and quizzes: 30%
 Quizzes will be given half way through each unit.
 Tests will be given at the end of each unit.
Midterm or final: 30%
Scope and Sequence:
Unit 1: Introduction to Economics
 What is Economics?
 Economic Systems
 American Free Enterprise
Unit 2: Introduction to Microeconomics: How Markets Work
 Demand and Supply
 Prices
 Market Structures
Unit 3: Business and Labor
 Business Organizations
 Labor
Unit 4: Money, Banking, and Finance
 Money and Banking
 Financial Markets
Unit 5: Introduction to Macroeconomics: Measuring Economic Performance
 Gross Domestic Product and Growth
 Economic Challenges
Unit 6: Government and the Economy
 Taxes and Government Spending
 Fiscal Policy
 The Federal Reserve and Monetary Policy
Unit 7: The Global Economy
 International Trade
 Economic Development and Transition
Unit 8: Financial Literacy
 Planning and goals
 Career preparation
 Spending and credit
 Consumer protection
 Income
 Money management
 Saving and investing
 Risk management