Group 5: Mathematics

IB MATH Applications and Interpretations SL I (Standard Level year 1 of a 2 year course) 
Grade: 11 

This is the 1st year of IB Math Standard Level Students are in the same course.  This course is compropable to a pre-Calculus at a traditional high school.  This course is intended for highly proficient students engaged in meeting and or exceeding state and district standards in:

Probability Non-Right Triangle Trigonometry Voronoi Diagrams Surface Area and Volume

-Functions, Domain, Range, Composite and Inverse Functions -Quadratics -Exponentials and Logarithms -Arithmetic and Geometric Sequences and Series

It is designed to prepare students for the International Baccalaureate (IB) Mathematics – Standard Level Exam which is given at the 2nd year of the program. Special attention is paid to the internationalism of mathematics and to help students to appreciate the multiplicity of cultural and historical perspectives of mathematics. Students complete investigation and/or modeling portfolios related to the topics taught in this course. A graphing calculator is required. (recommended calculator: TI-83, TI-84)  

 IB MATH Applications and Interpretations SL II (Standard Level, year 2) 
Grade: 2 (Year 2 of a 2 year course + May Exam)

This college level course is designed for highly proficient students.  This course gives students an introduction and exposure to Calculus and Statistics.   This course is intended for highly proficient students engaged in meeting and or exceeding state and district standards in:

-Descriptive Statistics -Bivariate Data, Pearson & Spearman Correlation Coefficients -Discrete Random Variables and Binomial Distribution

-Continuous Random Variables and Normal Distribution  -Derivative Calculus Introduction -Integral Calculus Introduction -Financial Mathematics

It is designed to prepare students for the International Baccalaureate Mathematics – Standard Level Exam which is an intensive comprehensive exam given at the end of 2nd year of the course in May.  During this year students complete an internal assessment (IA) which consists of a written paper of a mathematical topic of their choice.  A graphing calculator is required. (recommended calculator: TI-83, TI-84)  

IB MATH Applications and Interpretations HL II (Higher Level, year 3) 
Grade: 12 + May Exam

This college level course is designed for highly proficient students who finish IB Math Applications and Interpretations SL11 during 11th grade.  It consists of advanced calculus, differential equations, linear algebra, and statistics.

-Trigonometric Phase Transformations -Vectors, Magnitude, Dot-Product, Cross Product, Vector Equations of lines -Complex Numbers, Argand Diagrams, Cartesian, Polar & Euler Form, Combining periodic functions using complex numbers. -Matrices:  Determinant, Inverse Matrices, Solving systems of equations using matrices, Transformations of Matrices, Transition Matrices and Markov Chains, Eigenvalue and Eigenvector characteristic equations, Diagonalization and Powers of Matrices -Derivatives, Chain Rule, Product Rule, Derivatives of Trig, exponential and log functions, 2nd derivatives, concavity and points of inflection, properties of curves and Kinematics

-Integration: Area between 2 curves, Antiderivative family of functions, Integration by substitution, Solid of Revolution -Differential Equations, Slope fields, Euler’s method for solving differential equations -Vector Motion with Variable velocity -Coupled Differential Equations & Phase Portraits -Complex Eigenvalue and phase portraits -Euler’s method for coupled Linear Equations -Predator and Prey real life models -Second Order Differential Equations -Graph Theory: Paths, walks, trails and transition Matrices. -Kruskal’s Algorith and Prim’s Algorithm -Chinese Postman Problem, Hamiltonian cycles and paths, Traveling Salesman Problem (TSP) -Poisson Distribution

It is designed to prepare students for the International Baccalaureate Mathematics – Higher Level Exam which is an intensive comprehensive exam given at the end of 3rd year of the course in May.  During this year students revise their internal assessment (IA) paper from last year.  A graphing calculator is required. (recommended calculator: TI-83, TI-84)