MRS. ABHILASHA Singh
Originally from India I moved to this country in October 2006 on a teaching assignment .I have been teaching Honors Calculus and Honors Algebra 2 previous to joining AAEC. This year I will be teaching Algebra 3 & 4, Advanced Math and Applied Math. I acquired my bachelors and masters from Punjab University, Chandigarh, India. Additionally, I have Diploma certification in Computer Application. Although I belong to Bangalore, the city known as the Silicon Valley of India, I find teaching algebra and calculus more fun than writing code in C++. Though I was never much into sports, I do enjoy trekking and hiking. Apart from Olympics, I also enjoy following cricket and tennis. In India, cricket is what basketball is to the U.S. I am also a regular writer on Mathematics topics for the Times of India teacher's newsletter “Mindfield.”
COURSE OVERVIEW: Advanced Math
This course is designed to provide students with the mathematical background necessary to meet college entrance requirements. Students in this course will continue their investigation into the concepts introduced in Algebra 3-4. By doing inductive and deductive reasoning, students will obtain abstract and logical thinking. This course will provide a solid skill base and understanding of pre-calculus concepts in algebra and trigonometry that will be used in future college math courses as well as courses in the social and natural sciences.Students will be introduced to
· Basic concepts of Algebra (review)
· Graphs, Functions and Models
· Functions, Equations and Inequalities
· Exponential and Logarithmic functions
· The Trigonometric Functions
· Trigonometric Identities, Inverse Functions, and Equations
· Applications of Trigonometry
· System of Equations and Matrices
· Conic Sections
· Sequences, Series, and Combinatorics
Texts:
Algebra and Trigonometry Beecher~Penna~Bittinger
ISBN 0-201-74141-5
Algebra 3 & 4
Course Description : This course will provide a solid skill base and understanding of algebra concepts such as order of operation, solving equations, absolute values, radical equations, and graphing. Students will be expected to learn how to use a scientific calculator in this course.
Students will be introduced to
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Chapter 1: Real numbers and their graphs Simplifying expressions Basic properties of real numbers Sums and differences Products Quotients Solving equations in one variable Words into symbols Problem solving with equations
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Chapter 2: Solving inequalities in one variable Solving combined inequalities Problem solving using inequalities Absolute value in open sentences Solving absolute value sentences graphically Theorems and proofs Theorems about order and absolute value
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Chapter 3: Open sentences in two variables Graphs of linear equations in two variables The slope of a line Finding and equation of a line Systems of linear equations in two variables Problem solving: Using systems Linear inequalities in two variables Functions Linear functions Relations |
Chapter 4: Polynomials. Using laws of exponents. Multiplying polynomials. Using prime factorization. Factoring polynomials. Factoring quadratic polynomials Solving polynomial equations. Problem solving using polynomial equations Solving polynomial inequalities |
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Chapter 5: Quotients of monomials. Zero and negative exponents. Scientific notation and significant digits. Rational algebraic expressions. Products and quotients of rational expressions. Sums and differences of rational expressions. Complex fractions. Fractional coefficients Fractional equations |
Chapter 6: Roots of real numbers Properties of radicals. Sums of radicals. Binomials containing radicals. Equations containing radicals. Rational and irrational numbers. The imaginary number, i. Complex numbers.
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Chapter 7: Completing the square The quadric formula The discriminant Equations in quadratic form Graphing y – k = a(x – h)2 The quadratic function Writing quadratic equations and functions |
Chapter 8: Direct variation and proportion Inverse and joint variation Dividing polynomials Synthetic division The remainder and factor theorems Some useful theorems Finding rational roots Approximating irrational roots Linear interpolation |
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Chapter 9: Distance and midpoint formulas Circles Parabolas Ellipses Hyperbolas More on central conics The geometry of quadratic systems Solving quadric systems Systems of linear equations in three variables |
Chapter 10: Rational exponents Real number exponents Composition and inverses of functions Definition of Logarithms Laws of logarithms Applications of logarithms Exponential growth and decay Natural logarithm function
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Chapter 11: Types of sequences Arithmetic sequences Geometric sequences Series and sigma notation Sums of arithmetic and geometric series Infinite geometric series Powers of binomials The general binomial expansion |
Chapter 12: Angle and degree measure Trigonometric functions of acute angles Trigonometric functions of general angles Values of trigonometric functions Solving right triangles The law of cosines The law of sines Solving general triangles Area of triangles |
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Chapter 13: Radian measure Circular functions Periodicity and symmetry Graphs of sine and cosine Graphs of other functions The fundamental identities Trigonometric addition formulas Double angle and half-angle formulas Formulas for the tangent |
Chapter 14: Vector operations Vectors in the plane Polar coordinates The geometry of complex numbers DeMoivre’s Theorem The inverse cosine and inverse sine Other inverse functions Trigonometric equations
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Chapter 15: Presenting statistical data Analyzing statistical data The normal distribution Correlation Fundamental counting principles Permutations Combinations Sample spaces and events Probability Mutually exclusive and independent events |
Chapter 16: Definition of terms Addition and scalar multiplication Matrix multiplication Applications of matrices Determinants Inverses of matrices Expansion of determinants by minors Properties of determinants Cramer’s rule
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TEXTS: Algebra and Trigonometry; Structure and Method; Book 2; Brown, Richard G., Dolciani, Mary P., Sorgenfrey, Robert H., Kane, Robert B.; Houghton Mifflin Company ,1990 ISBN 0-395-47-56-0
EVALUATION PROCEDURES:
Grades are earned via homework, projects, participation, writings, assignments, and exams. The grading system is simple; the total number of points earned will be divided by the total points possible.
90 + = A
80 – 89.99 = B
70 – 79.99 = C
NOTE BOOK/PORTFOLIO
A notebook is required. All completed work, bell work; notes, this syllabus, and any additional handouts should be kept in a 3 ring binder. These binders will be collected by the teacher periodically to grade.
LATE POLICY:
In order to receive credit for work, it must be submitted at the beginning of class the day it is due. It is worth half credit for the next 48 hours when the student attends a study hall of 20 minutes with me (between 3 and 3:30p.m that day). It is worth zero credit after that. After that late work will not be accepted. I cannot over stress the importance of turning in all assignments. Too many times, students and parents come to me towards the end of the semester asking how they can “fix” their grade. The answer is: take full responsibility for all your actions by turning in your work in a timely manner. Students cannot skate through a whole semester and expect to fix their grades at the end. It is unfair to the students who do the right thing each and every day, and it is unfair to the student who may be cheating himself/herself out of learning. If the student has an excused absence then of course the student can make up the work the next day with no penalty. However, it is the students’ responsibility to get the missed work from the teacher. It is not the teacher’s responsibility to seek out the student. Exams missed due to absence will be taken within three school days after the student returns, unless prior arrangements are made.
CHEATING:
Cheating will be defined as copying or plagiarizing another person’s paper, homework, daily work, or tests. It also includes having unsanctioned notes/text messages during a test, looking on another student’s paper during a test, and/or speaking out loud during a test. Any student caught cheating will receive a zero on the class work and parents will be notified.
CLASSROOM EXPECTATIONS:
1. Come ready to Learn. Bring everything you need to participate in class. This includes your materials (three-ring binder, paper, pencil, and eraser), finished assignments, and a positive attitude everyday.
2. Participate and be on time. Come into the classroom, get your materials ready, and start working on the assignment. Participation in class discussion is crucial to your success. Late arrival prevents your participation, and distracts your classmates.
3. Help others when you can, this does not mean cheat but if someone asks you for help during an activity you have an obligation to help, if you need help you have an obligation to ask.
4. Respect yourself and others. Treat your teacher, classmates, and the school with respect. If you feel the need to disagree, be critical of the idea NOT the person. Your criticism must at all times be respectful and constructive. Also please do not begin putting your papers away with three minutes or so left in the class. We have a lot of work to do and a short period of time to accomplish our objectives. The teacher will dismiss the class, when the class is complete.
5. Follow the AAEC P.L.A.N, Professionalism (Dress appropriately), Language (speak appropriately)/Listen (Listen to others)/Learn (Learn all you can), Attitude = Achievement, Never give up, Never quit!
Contact Information:
Office Hours: Monday – Thursday, 3:00 – 4:00, later with arrangements ahead of time.
Email: asingh@aaechighschools.com
T Disclaimer: The instructor reserves the right to amend the classroom policy and procedures. The instructor reserves the right to alter the syllabus in order to meet the needs of the students in the class. It is the student’s responsibility to attend class regularly and make note of any announced changes