Math is fun. It is everywhere. It is a set of tools by which we try, as human beings, to explain our physical universe. We will explore the vastness of the Creation and as we travel and explore from the innermost portions of the atom to the outer reaches of the known physical universe...and beyond!
So don't miss anything! I am excited to teach you all of these things!
Whether or not you may think of yourself a mathematician, I really want to teach you how to act and THINK like one!
All real scientists, mathematicians, and engineers are curious little kids in grownup bodies. We are inquisitive, annoying creatures who need to know everything: how something works, why something works, what will happen if we do this or that, and so on. Bring out that curious inner child within you  Be Childlike, not Childish. 
Honors Math Analysis
Beverly Hills High School  Honors Math Analysis Syllabus  J. Berkeley
 20152016 
This is the preparatory course for taking AP Calculus AB/BC. It is an indepth course in all of the topics necessary for succeeding at the college/university level in the technical disciplines of professional mathematics, calculusbased physics, engineering, architecture and related subjects.
The student is expected to function at the very highest level of achievement throughout the course with the goal of matriculating to such advanced courses in the near future. It will satisfy the UC AthruG requirements for a proper Honorslevel designation.
General Course Topics Include (but are not limited to):
1) Graphical and analytical representations of algebraic, logarithmic, exponential,
trigonometric and transcendental functions and related
2) Indepth analysis of the conic sections, i.e., analytic geometry of circles, ellipses,
hyperbolae, parabolae, etc.
3) Analysis of systems of two and threedimensional equations and methods of solving
4) Complex Numbers, Polar Equations, and Parametric Equations
5) Limits and other foundational calculus concepts
Naturally I reserve the right to present related topics as necessary, both for enlightenment and for interest’s sake. This gives an overall view of what it is we will be covering. There may or may not be a project this semester.
There will be a final exam. Most commonly my final exams are 50% new material and 50% old material, taken from prior tests. Again, I reserve the right to give a final as I see fit.
Such a final normally constitutes 1520% of the total points for the semester. 
Activities, lab inquiries, projects and demonstrations are of course intended to stimulate the students to a greater comprehension of the prevailing concepts at hand. Objectives and procedures will be clearly stated for each. Activities and labs normally involve a writeup to be included in a mandatory lab notebook/journal, as are all lab experiments and demonstrations. Usually intended to test a certain hypothesis, such activities and demonstrations may be presented merely to enlighten.
A typical laboratory inquiry involves a proper expression of a problem, a possible explanation of an observed phenomena, and a method by which such a hypothesis can be either verified or discounted. These also the students to produce a formal lab writeup which includes materials and procedure, data acquisition, calculations (where necessary), conclusions, and error considerations. Later analysis of the class’ results by the class as a whole is mandatory for each.
The course is designed to cover the following topics through careful text reading, analysis and synthesis of progressive learning. Text assignments will include response to section, chapter, and unit review questions, as well as quizzes, informal checks for understanding, and embedded assessments. Research and demonstration of understanding will include webbased research and presentation, research of current mathematics studies through published reports, and current events examination and reporting. Assessments and grading procedures are covered in the certification handout and need not be repeated here. 
CLASS RULES (normally I detest rules, but good fences make good neighbors)
1) Okay, here’s the deal: I will do all I can to teach and you will do all you can to learn.
2) I wish to train you to think logically  bring your inner child, be curious, be inquisitive  always ask the how and why questions.
3) Though I do not require you bring your textbook every day (though it’s not a bad idea), I do require you to bring your notebook/journal every day  every class note, every problem, and all lab data will be in there  and it will be graded for completion. You will also need a calculator though we won’t always use it. (Believe it or not, they can be purchased at the 99 cent store.)
4) It is YOUR responsibility to read your textbook. I reserve the right to use any homework questions on exams. Just because we may not have actual class time to discuss them all does not mean that you are not responsible for the information contained in them. I will do my best to discuss them all of course.
5) If you have to miss class, that will be too bad for you (and for me too) but it is YOUR responsibility to get the notes and assignments you missed. If homework was due that day, you may turn it in the next day without penalty. If homework was assigned that day, you will need to get that from me, your fellow students or my website and turn it in on time (or when you return).
6) Your work is your work. Their work is their work. Never copy another student. Automatic zero for copying  both for the student who copied and for the student who permitted it. A grade of F for the semester for a second offense (yikes!).
7) If notecards are permitted for an exam, only original handwritten or typed ones are allowed.
8) All notes in your notebook/journal must be written in your own handwriting/printing. Copying someone else’s notes and stapling them in will not be accepted.
9) Do not ditch my class. Any unexcused absence will result in a zero for any work due that day AND for any work assigned that day...besides, you’ll probably miss some good stuff (my class is fun!).
10) Late homework is accepted, but at halfcredit at best. No late homework will be accepted after each exam. Once an exam is given, all missing assignments will be given a score of zero. Get all your work in BEFORE the exam.
11) Though the grading software and your teacher make mistakes (I’m only human you know), it is YOUR responsibility to see that your grades were entered correctly. Once an exam is given, all prior grades will remain unchanged.
12) If you were on campus for just one period, it is your responsibility to see that any work due on that day is received by me; either give it to the office, put it in my box, have a friend give it to me, or slide it under my door. No excuses will be granted to athletes, halfday field trips, early doctor’s appts., hangnails, nauseousness, etc.
13) This is a “family show.” No profanity, no violence, no disrespect, no taunting or antagonism.
14) All of BHHS’ rules stated in the student handbook are always in force, including dress code, cell phone usage, unexcused absences and tardies and decorum.
Please see the certification for your agreement to and understanding of these rules and other class concerns. 
Trigonometry
Beverly Hills High School  Trigonometry Syllabus  J. Berkeley
 20152016 
Trigonometry is simply the indepth study of triangles. But its worth is far more general than that. It is an invaluable tool in physics, engineering, and architecture and constitutes the first real mathematics course beyond high school algebra and geometry. It leads to studies in calculus and beyond. Understand we are dealing in plane trigonometry, as spherical
trigonometry is a study aside from this and which will be helpful in ocean and space navigation.
This course covers all of the six plane trigonometric functions and their operations. Emphasis will be placed on the unit circle and circular functions. Investigation and verification of the fundamental trigonometric identities will be an intricate part of this semester’s study in
preparation for higher level math courses. Hopefully this class provides a thorough treatment of trigonometry both with and without the use of the graphing calculator.
General Course Content:
1) Trigonometric Basics – Angles in degrees and radians, the six trigonometric functions, special angles, simple identities, applications
2) A Closer Look at Right Triangles  Pythagorean triples, unit circle, trig applications
3) Graphs of the Circular Functions – Graphing trig functions, amplitude, period, shifting, and significant applications
4) Solving Trigonometric Identities – Sum and difference, doubleangle, halfangle, and product/sum identities
5) Inverse Trigonometric Functions – Inverse trig functions, trigonometric equations
6) More Applications of Trigonometry – Law of sines, ambiguous case, law of cosines
7) Complex Numbers, Polar Equations, and Parametric Equations
8) Exponential and Logarithmic Functions – exponential and logarithmic functions and their graphs
Naturally I reserve the right to present related topics as necessary, both for enlightenment and for interest’s sake. This gives an overall view of what it is we will be covering. There may or may not be a project this semester.
There will be a final exam. Most commonly my final exams are 50% new material and 50% old material, taken from prior tests. Again, I reserve the right to give a final as I see fit. Such a final normally constitutes 1520% of the total points for the semester. 
Activities, lab inquiries, projects and demonstrations are of course intended to stimulate the students to a greater comprehension of the prevailing concepts at hand. Objectives and procedures will be clearly stated for each. Activities and labs normally involve a writeup to be included in a mandatory lab notebook/journal, as are all lab experiments and demonstrations. Usually intended to test a certain hypothesis, such activities and demonstrations may be presented merely to enlighten.
A typical laboratory inquiry involves a proper expression of a problem, a possible explanation of an observed phenomena, and a method by which such a hypothesis can be either verified or discounted. These also the students to produce a formal lab writeup which includes materials and procedure, data acquisition, calculations (where necessary), conclusions, and error considerations. Later analysis of the class’ results by the class as a whole is mandatory for each.
The course is designed to cover the following topics through careful text reading, analysis and synthesis of progressive learning. Text assignments will include response to section, chapter, and unit review questions, as well as quizzes, informal checks for understanding, and embedded assessments. Research and demonstration of understanding will include webbased research and presentation, research of current mathematics studies through published reports, and current events examination and reporting. Assessments and grading procedures are covered in the certification handout and need not be repeated here.

CLASS RULES (normally I detest rules, but good fences make good neighbors)
1) Okay, here’s the deal: I will do all I can to teach and you will do all you can to learn.
2) I wish to train you to think logically  bring your inner child, be curious, be inquisitive  always ask the how and why questions.
3) Though I do not require you bring your textbook every day (though it’s not a bad idea), I do require you to bring your notebook/journal every day  every class note, every problem, and all lab data will be in there  and it will be graded for completion. You will also need a calculator though we won’t always use it. (Believe it or not, they can be purchased at the 99 cent store.)
4) It is YOUR responsibility to read your textbook. I reserve the right to use any homework questions on exams. Just because we may not have actual class time to discuss them all does not mean that you are not responsible for the information contained in them. I will do my best to discuss them all of course.
5) If you have to miss class, that will be too bad for you (and for me too) but it is YOUR responsibility to get the notes and assignments you missed. If homework was due that day, you may turn it in the next day without penalty. If homework was assigned that day, you will need to get that from me, your fellow students or my website and turn it in on time (or when you return).
6) Your work is your work. Their work is their work. Never copy another student. Automatic zero for copying  both for the student who copied and for the student who permitted it. A grade of F for the semester for a second offense (yikes!).
7) If notecards are permitted for an exam, only original handwritten or typed ones are allowed.
8) All notes in your notebook/journal must be written in your own handwriting/printing. Copying someone else’s notes and stapling them in will not be accepted.
9) Do not ditch my class. Any unexcused absence will result in a zero for any work due that day AND for any work assigned that day...besides, you’ll probably miss some good stuff (my class is fun!).
10) Late homework is accepted, but at halfcredit at best. No late homework will be accepted after each exam. Once an exam is given, all missing assignments will be given a score of zero. Get all your work in BEFORE the exam.
11) Though the grading software and your teacher make mistakes (I’m only human you know), it is YOUR responsibility to see that your grades were entered correctly. Once an exam is given, all prior grades will remain unchanged.
12) If you were on campus for just one period, it is your responsibility to see that any work due on that day is received by me; either give it to the office, put it in my box, have a friend give it to me, or slide it under my door. No excuses will be granted to athletes, halfday field trips, early doctor’s appts., hangnails, nauseousness, etc.
13) This is a “family show.” No profanity, no violence, no disrespect, no taunting or antagonism.
14) All of BHHS’ rules stated in the student handbook are always in force, including dress code, cell phone usage, unexcused absences and tardies and decorum.
Please see the certification for your agreement to and understanding of these rules and other class concerns. 
Consumer Math
Beverly Hills High School  Consumer Math Syllabus  J. Berkeley
 20152016 
This is a one semester course which will teach you the methods whereby you can function
within modern society regarding money and its transactions and their impact in your life.
We will also touch on the various ways mathematical data is presented in the modern world, that is, when information is found in books, newspapers and magazines informing you about things in your world.
General Course Topics:
1) Interest  Simple, compound, loans, credit cards, fractions, decimals and percents
2) Working for a Living  Paychecks, deductions, taxes, tax returns, checking/savings accounts, COLA, inflation
3) A Home and a Car  Buying, mortgages, financing, repairs, services, paying the bills
4) Buying Stuff  Discounts, best buys on food etc., marketing strategies, consumer price index
5) Investments  Stocks and stock market, bonds, commodities, precious metals, land, mutual funds, life insurance, others
6) Charts and Graphs  Data, presentation, interpretating, calculating
7) Mental Math  methods, shortcuts, speed, fractions
Naturally I reserve the right to present related topics as necessary, both for enlightenment and for interest’s sake. This gives an overall view of what it is we will be covering. There will probably be a project this semester.
There will be a final exam. Most commonly my final exams are 50% new material and 50% old material, taken from prior tests. Again, I reserve the right to give a final as I see fit. Such a final normally constitutes 1520% of the total points for the semester. 
CLASS RULES (normally I detest rules, but good fences make good neighbors)
1) Okay, here’s the deal: I will do all I can to teach and you will do all you can to learn.
2) I wish to train you to think logically  bring your inner child, be curious, be inquisitive  always ask the how and why questions.
3) Though I do not require you bring your textbook every day (though it’s not a bad idea), I do require you to bring your notebook/journal every day  every class note, every problem, and all lab data will be in there  and it will be graded for completion. You will also need a calculator though we won’t always use it. (Believe it or not, they can be purchased at the 99 cent store.)
4) It is YOUR responsibility to read your textbook. I reserve the right to use any homework questions on exams. Just because we may not have actual class time to discuss them all does not mean that you are not responsible for the information contained in them. I will do my best to discuss them all of course.
5) If you have to miss class, that will be too bad for you (and for me too) but it is YOUR responsibility to get the notes and assignments you missed. If homework was due that day, you may turn it in the next day without penalty. If homework was assigned that day, you will need to get that from me, your fellow students or my website and turn it in on time (or when you return).
6) Your work is your work. Their work is their work. Never copy another student. Automatic zero for copying  both for the student who copied and for the student who permitted it. A grade of F for the semester for a second offense (yikes!).
7) If notecards are permitted for an exam, only original handwritten or typed ones are allowed.
8) All notes in your notebook/journal must be written in your own handwriting/printing. Copying someone else’s notes and stapling them in will not be accepted.
9) Do not ditch my class. Any unexcused absence will result in a zero for any work due that day AND for any work assigned that day...besides, you’ll probably miss some good stuff (my class is fun!).
10) Late homework is accepted, but at halfcredit at best. No late homework will be accepted after each exam. Once an exam is given, all missing assignments will be given a score of zero. Get all your work in BEFORE the exam.
11) Though the grading software and your teacher make mistakes (I’m only human you know), it is YOUR responsibility to see that your grades were entered correctly. Once an exam is given, all prior grades will remain unchanged.
12) If you were on campus for just one period, it is your responsibility to see that any work due on that day is received by me; either give it to the office, put it in my box, have a friend give it to me, or slide it under my door. No excuses will be granted to athletes, halfday field trips, early doctor’s appts., hangnails, nauseousness, etc.
13) This is a “family show.” No profanity, no violence, no disrespect, no taunting or antagonism.
14) All of BHHS’ rules stated in the student handbook are always in force, including dress code, cell phone usage, unexcused absences and tardies and decorum.
Please see the certification for your agreement to and understanding of these rules and other class concerns. 
Algebra
Beverly Hills High School  Algebra Syllabus  J. Berkeley
 20152016

Algebra 1 is a oneyear course in mathematics, whereas Algebra A/B is a twoyear course covering the same curriculum. It will give you a solid foundation should you continue onward into more difficult and advanced courses. Throughout the course we will concentrate on the general idea of functions, but there will be time to explore much more and it is my hope you will have a greater appreciation for logical problemsolving skills a course in algebra teaches.
The key to success is simply practice, practice, practice. No matter what you do in life, you always improve with practice. So if you wish to score well on quizzes and exams, be ready. Get ready by doing lots of practice problems. I will always help you if you wish to improve.
TEXTBOOK: Algebra 1 Common Core ==> PEARSON  ISBN 9780133283204
Algebra I students are expected to:
* Read mathematical problems actively and critically.
* Write effective solutions to problems and projects.
* Present solutions to problems effectively.
* Use a variety of appropriate resources including the computer and calculator to solve mathematical problems.
* Employ multiple critical and creative thinking strategies in reasoning and problem solving.
* Demonstrate a knowledge and appreciation of how mathematics can be used outside the mathematics classroom.
* And meet all of the course objectives listed below...
Course Objectives
The student will be able to:
* Apply and demonstrate the different way numbers are represented and used in the real world.
* Determine the effects of operations on numbers and the relationships among these operations.
* Select appropriate operations in their proper order, and compute for problem solving.
* Write and solve single and multistep equations including realworld applications.
* Explain how rates and ratios are similar or different.
* Use rates and ratios to model and solve reallife problems.
* Articulate under what conditions a relation is a function.
* Describe, analyze, and generalize a wide variety of patterns, relations, and functions.
* Display representations of a functions (equations, graphs, and tables).
* Connect representations of a function in a real world context and communicate mathematical thinking.
* Solve systems of equations using various methods.
* Use inequalities in an applied application to solve/evaluate real world data.
* Identify, graph and analyze an exponential growth and decay function.
* Apply various types of factoring methods to solve realworld problems.
* Graph, analyze and solve quadratic equations.
* Explain the concept of radical functions as applied to Geometry.
* Explain the concept of rational functions as applied to a specific realworld situations.
* Find probabilities of simple and compound events.
* Analyze, create, display and interpret data using statistical methods.
ALGEBRA TOPICS include:
* Connecting with Algebra
* Using Real Numbers
* Balancing Equations
* Graphing to find slope
* Writing linear equations
* Solving and graphing linear inequalities
* Systems of linear equations and inequalities
* Rules of exponents
* Polynomials and Factoring
* Solving quadratic equations and functions
* Radicals and Geometry
* Rational Equations and Functions
* Probability and Statistical Data Analysis 

Activities, lab inquiries, projects and demonstrations are of course intended to stimulate the students to a greater comprehension of the prevailing concepts at hand. Objectives and procedures will be clearly stated for each. Activities and labs normally involve a writeup to be included in a mandatory lab notebook/journal, as are all lab experiments and demonstrations. Usually intended to test a certain hypothesis, such activities and demonstrations may be presented merely to enlighten.
A typical laboratory inquiry involves a proper expression of a problem, a possible explanation of an observed phenomena, and a method by which such a hypothesis can be either verified or discounted. These also the students to produce a formal lab writeup which includes materials and procedure, data acquisition, calculations (where necessary), conclusions, and error considerations. Later analysis of the class’ results by the class as a whole is mandatory for each.
The course is designed to cover the following topics through careful text reading, analysis and synthesis of progressive learning. Text assignments will include response to section, chapter, and unit review questions, as well as quizzes, informal checks for understanding, and embedded assessments. Research and demonstration of understanding will include webbased research and presentation, research of current mathematics studies through published reports, and current events examination and reporting. Assessments and grading procedures are covered in the certification handout and need not be repeated here.
CLASS RULES (normally I detest rules, but good fences make good neighbors
1) Okay, here’s the deal: I will do all I can to teach and you will do all you can to learn.
2) I wish to train you to think like a scientist  bring your inner child, be curious, be inquisitive  always ask the how and why questions.
3) Though I do not require you bring your textbook every day (though it’s not a bad idea), I do require you to bring your lab notebook every day  every class note, every demonstration, and all lab data will be in there  and it will be graded for completion. You will also need a scientific calculator.
(Believe it or not, they can be purchased at the 99 cent store.)
4) It is YOUR responsibility to read your textbook. I reserve the right to use any homework questions on exams. Just because we may not have actual class time to discuss them all does not mean that you are not responsible for the information contained in them. I will do my best to discuss them all of course.
5) If you have to miss class, that will be too bad for you (and for me too) but it is YOUR responsibility to get the notes and assignments you missed. If homework was due that day, you may turn it in the next day without penalty. If homework was assigned that day, you will need to get that from me, your
fellow students or my website and turn it in on time (or when you return).
6) Your work is your work. Their work is their work. Never copy another student. Automatic zero for copying  both for the student who copied and for the student who permitted it. A grade of F for the semester for a second offense (yikes!).
7) If notecards are permitted for an exam, only original handwritten or typed ones are allowed.
8) All notes in your lab notebook must be written in your own handwriting/printing. Copying someone else’s notes and stapling in will not be accepted.
9) Do not ditch my class. Any unexcused absence will result in a zero for any work due that day AND for any work assigned that day...besides, you’ll probably miss some good stuff (my class is fun!).
10) Late homework is accepted, but at halfcredit at best. No late homework will be accepted after each exam. Once an exam is given, all missing assignments will be given a score of zero. Get all your work in BEFORE the exam.
11) Though the grading software and your teacher make mistakes (I’m only human you know), it is YOUR responsibility to see that your grades were entered correctly. Once an exam is given, all prior grades will remain unchanged.
12) If you were on campus for just one period, it is your responsibility to see that any work due on that day is received by me; either give it to the office, put it in my box, have a friend give it to me, or slide it under my door. No excuses will be granted to athletes, halfday field trips, early doctor’s appts., etc.
13) This is a “family show.” No profanity, no violence, no disrespect, no taunting or antagonism.
14) All of BHHS’ rules stated in the student handbook are always in force, including dress code, cell phone usage, tardies and decorum.
Please see the certification for your agreement to and understanding of these rules and other class concerns. 