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MYP Honors Integrated Mathematics 2

(Y) Credits: 1.0
Course Number: 53002
 
Prerequisite: Integrated Math 1 or an Algebra 1 course in grade 8
Course Description:
 
This is an integrated course. The student will study the algebraic concepts of quadratic equations and their graphs, linear systems, rational equations, complex numbers, and law of exponents. The geometric concepts which will be studied include similarity and congruency, proof, coordinate geometry, transformational geometry, and special right triangles. The statistics and probability concepts include sampling methods, simulation, histograms, measures of central tendency, measures of dispersion, and binomial distribution. The logical reasoning concepts include inductive and deductive reasoning, valid and invalid reasoning, negation, implication and equivalences. The discrete math concepts include matrix operations, transformation matrices, and counting techniques. Scientific and graphing calculators and computers will be used regularly throughout the course.


MYP Honors Integrated Mathematics 3

(Y) Credits: 1.0
Course Number: 53003
 
Prerequisite: Integrated Math 2 or a Geometry course in grade 8
Course Description:
 
This is an integrated course. Students will study a variety of algebraic, geometric, statistical and discrete mathematical concepts. These include, but are not limited to, inscribed figures, vectors, triangular and circular trigonometry, geometric proofs, logic, sequence and series, recursion, and polynomial, exponential and logarithmic functions.
 
Prerequisite: Geometry and demonstration of mastery for both Algebra and Geometry on the IA placement test or the completion of MYP Hon Integrated Math II at the International Academy.
 


DP Math Studies (SL)

(Y) Credits: 1.0
Course Number: 53200 , 53205
 
Prerequisite: Integrated Math 2 or 3
Course Description:
 
This is a two-year course that concentrates on mathematics which can be applied to contexts related as far as possible to other curriculum subjects, to common general world occurrences and to topics that relate to home, work and leisure situations. Students will study the topics of numeration and algebra, sets and logic, geometry and trigonometry, statistics and probability, functions, and financial mathematics. In addition students will study one of the following: matrices and graph theory, further statistics and probability, or introductory differential calculus.
IB Final Assessment:
External - 2 examinations lasting a total of 3 hours;
Internal - a project involving the collection and/or generation of data, and the analysis and evaluation of that data.


DP Mathematics SL

(Y) Credits: 1.0
Course Number: 53201, 53206
 
Prerequisite: Integrated Math 3 (minimum 84% on all tests) or permission of department.
Course Description:
 
This two-year course is designed to accommodate the student with a solid background in Integrated Math 3 and planning to pursue a math related field at the university. The compulsory core is comprised of studies in algebra, functions and equations, circular functions and trigonometry, vector geometry, statistics and probability, and calculus. Students will also study on of the following options: statistical methods, further calculus, or further geometry.
 
IB Final Assessment:
External - Two examinations totaling 3 hours;
Internal - a portfolio of five assignments representing the following three activities: mathematical investigation, extended closed-problem solving, and mathematical modeling.


DP Mathematics HL

(Y) Credits: 1.0
Course Number: 53202, 53207
 
Prerequisite: Math Methods in grade 10
Course Description:
 
This two-year course is usually studied by the student who is expecting to include mathematics as a major component of their university studies. The required advanced core topics are number and algebra, functions and equations, circular functions and trigonometry, vector geometry, matrices and transformations, statistics, probability, and calculus. Students will also study one of the following options: statistics, sets, relations and groups, discrete mathematics, analysis and approximation, and Euclidean geometry and conic sections.
 
IB Final Assessment:
External - Two examinations totaling 5 hours;
Internal - a portfolio of five assignments representing the following activities: mathematical investigation, extended closed-problem solving, mathematical modeling, and mathematical research.


IB Further Mathematics HL

(Y) Credits: 1.0
Course Number: 53210
Prerequisite: Mathematics HL in grades 10 and 11
Course Description:
 
This course caters to students with a good background in mathematics who have attained a high degree of competence in a range of analytical and technical skills, and who display considerable interest in the subject. Most of these students will intend to study mathematics at university, either as a subject in its own right or as a major component of a related subject. The course is designed specifically to allow students to learn about a variety of branches of mathematics in depth and also to appreciate practical applications.


The course consists of a rigorous study of Euclidean geometry, as well as the four Mathematics Higher Level option topics: Statistics and Probability; Sets, Relations and Groups; Series and Differential Equations, and Discrete Mathematics. Students will be presumed to have studied one of the option topics as part of the Mathematics Higher Level course. Furthermore, students must also be familiar with the topics listed as presumed knowledge and in the core syllabus for the Mathematics Higher Level course

 
Prerequisite: Completion of DP Mathematics Higher Level and passing grade (4) on IB Mathematics Higher Level exam in May of junior year.
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