IB Math HL Syllabus 2013-2014
TEACHER: Mr. Rice
CONFERENCE: 1st period 7:25- 8:14
SCHOOL PHONE: (832) 484 - 4840
(please leave a message and I will return your call as soon as possible)
EMAIL: brice1@kleinisd.net (this is the quickest way to reach me)
ROOM: 288
Feel free to call or email anytime!
GRADING POLICY:
Each six weeks:
10% - Homework
20% - Daily(Quizzes, Warm-Ups, etc.)
70% - Tests (usually 3 per six weeks)
LATE WORK PROCEDURE: Homework will be received one or two days late at 50% off. Projects will be received one day late
for 10% off, 2 days late for 20% off, and 3 days late for 30% off. No credit will be given after 3 days late.
RETEACH/RETEST PROCEDURE: If a non-zero, failing test grade is posted, tutoring will be available for those students that
would like to improve their grade. Students will be allowed 5 school days to re-test the material to try and improve the grade for a
maximum of 70%.
PROJECTS: A portfolio will be assigned during the year. This portfolio will be counted as a major grade. Students will be working
on this portfolio throughout the year.
COURSE DESCRIPTION: Students who choose this course will be expecting to include mathematics as a major component of
their university studies, either as a subject of its own right or within courses such as physics, engineering , or technology. Others may
take this course because they have a strong interest in mathematics and enjoy meeting its challenges and engaging with its problems.
The nature of the course is such that it focuses on developing important mathematical concepts in a comprehensible,
coherent, and rigorous way. This is achieved by means of a carefully balanced approach. Students are encouraged to apply their
mathematical knowledge to solving problem sets in a variety of meaningful contexts. Development of each topic should feature
justification and proof of results. Students embarking on this course should expect to develop insight into mathematical form and
structure, and should be intellectually equipped to appreciate links between concepts in different topic areas. They should also be
encouraged to develop the skills needed to continue their mathematical growth in other learning environments.
The internally assessed component, the portfolio, offers students a framework for developing independence in their
mathematical learning through engaging in mathematical investigation and mathematical modeling. Students will be provided with
opportunities to take a considered approach to these activities, and to explore different ways of approaching a problem. The portfolio
also allows students to work without the time constraints of a written examination and to develop skills in communicating
mathematical ideas.
This course is a demanding one, requiring students to study a broad range of mathematical topics through a number of
different approaches and to varying degrees of depth.
OUTLINE/CALENDAR: Six weeks lesson plans are kept current on LMS. Below is a rough course outline; time periods are
approximations* and may vary according to students’ needs.
Unit #1 – Statistics – (6 days) – Frequency Tables, Frequency Distributions, Histograms, Box and Whisker Plots, Cumulative
Frequency, Variance, Standard Deviation
Unit #2 – Probability (7 days) – Conditional Probability, Independent, Dependent, Baye’s Theorem, Permutations, Combinations,
Unit #3 – Statistics (9 days) - Discrete Random Variable, Expectation, Binomial Distribution, Poisson Distribution,
Continuous Random Variable, Probability Density Function, Normal Distributions
Unit #4 – Functions and Quadratics (9 days) – Composite Functions, Inverse Functions, Absolute Value, Rational, Factoring,
Quadratic Formula, Completing the Square, Inequalities, Discriminant, Quadratic
Graphs
Unit #5 - Polynomials , Exponential, and Logarithmic Functions (10 days) - Synthetic Division, Long Division, Factor Theorem,
Remainder Theorem, Polynomial Equations , Graphs,
Properties of Logarithms, Natural Log, e
Unit #6 – Sequences and Series (11 days) - Arithmetic, Geometric, Infinite, Sigma Notation, Permutations, Combinations,
Binomial , Expansion
Unit #7 – Trigonometry (8 days) – Trigonometric Ratios, Law of Sines, Law of Cosines, Graphs, Unit Circle, Trigonometric
Equations, Inverse Trig , Trig Identities, Compound angle Identities, Double-Angle Identities,
Half-Angle Identities, Wave Functions
Unit #8 Matrices and Mathematical Induction - Adding, Subtracting, Multiplying, Determinants, Inverse,
Equations, Proof by Mathematical Induction, Forming and Proving Conjectures
Solving Simultaneous
Unit #9 – Vectors (10 days) – Adding and Subtracting Vectors, Dot Product, Cross Product, Vector Equation of a Line, Equation of a
Plane, Intersecting Lines and Planes
End of 1st Semester
Unit #10 – Complex Numbers and Mathematical Induction – (7 days) – Operations with Complex Numbers, Argand Diagrams,
de Moivre’s Theorem,
Unit #11 – Differential Calculus (6 days) – Basic Principles, Gradient of a Tangent, Stationary Points, Inflexion Points, Curve
Sketching,
Unit #12 - Differential Calculus (6 days) – Product Rule, Quotient Rule, Chain Rule, Derivatives of Trig, Exponential, Logarithmic,
and Inverse Trig Optimization, Related Rates, Velocity and Acceleration
Unit #13 – Integral Calculus (7 days) – Indefinite Integrals, Definite Integrals, Initial Conditions, Area under the Curve, Riemann
Sums, Area Between two Curves
Unit #14 - Integral Calculus (9 days) - Direct Reverse, Powers of trig, u-substitution, Inverse Trig, Integration by Parts, Algebraic
Methods
Unit #15 – Integral Calculus (6 days) – Separation of Variables, Velocity and Acceleration, Volumes of Revolution
Unit #16 – Series and Differential Equations (8 days) – Convergence and Divergence of Series, p-series, Ratio Test, Integral Test,
Comparison Test, Limit
Comparison Test, Alternating Series, Absolute and Conditional Convergence ,
Unit #17– Taylor Polynomials (7 days) – Power Series, Radius of Convergence, Interval of Convergence, Taylor Series, Maclaurin
Series, LaGrange Error
Unit #18 - Slope Fields, Euler’s Method, Homogeneous Differential Equations, Integrating Factor
Unit #19 Review – (Until exam)
End of 2nd semester
STUDENT ABSENCE PROCEDURE: Students are allowed the same number of days that they were absent to make-up homework.
If a test is missed, the student should make it up as soon as possible to maximize performance. Two weeks is the typical make-up time
limit for testing.
Room 289 is the test make-up location. There is one after-school and one before-school make-up time typically offered each week.
This year it will be Tuesdays after school from 2:35 – 3:30 pm and Fridays before school 6:30 – 7:20 pm. If there are conflicts with
these times, I am typically available to administer the make-ups in my room upon prior arrangement.
TEST DAYS: Standard test days are Mondays and Wednesdays. Tests are allowed on other days with principal approval. Due to the
nature of the course, we will often Test in non-test days. Students have more than two tests on any test day, may take the test at an
alternate time.
TUTORIALS:
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Any student needing extra help is welcome to come in after school. My tutorial times are:
o Monday through Friday 6:45 a.m. – 7:20 a.m.
o Monday – Thursday 2:30 p.m. - 3:30 p.m.
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Please check to make sure I am available that day. There will be days when I am required to attend other meetings or have
Mu Alpha Theta and UIL, and will be unable to tutor.
SUPPLIES:
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Organizational materials to take and keep notes, handouts, and graded papers.
A graphing calculator. Students will need a Texan Instruments calculator. We will be using a
TI-Nspire in the classroom.
A pencil (extra eraser) or pen if you prefer (no blue or green pens).
A laptop with stylus and charger are required everyday!