
The subject of Mathematics is a series of academic courses necessary for entry into some Science courses and college admission. It is paramount that students and parents investigate and seek consultation regarding the required mathematics courses and suggested sequence of study needed in preparation for higherlevel Mathematics and Science courses.
All mathematics courses will give students the opportunities to discover concepts, on their own, describe patterns and relate topics to one another, as well as to employ appropriate use of vocabulary, show adequate working steps and attempt a variety of methods to solve a problem. Mathematics courses provide opportunities for students to solve realworld applications, and offer students opportunities to learn concepts through a variety of instructional strategies that include projectbased instruction.
Further, all courses and levels are steeped in inquiry and project based instruction, and require students to develop inquiring minds and curiosity about Mathematics and related concepts, and communicate their ideas, arguments and practical experiences accurately in a variety of ways, including written and verbal modes. They will also have the opportunity to think analytically, critically and creatively to solve problems, judge arguments and draw conclusions. All students will embark upon interdisciplinary projects that involve the introduction and development of Mathematicsbased research skills and writing as a core requirement of all courses and, in some courses, culminate into formal research papers.
Beginning with the class of 2021, the IB has changed the series of mathematics courses that students are able to enroll. The names of the two new courses, each at the Higher and Standard Level, are Applications & Interpretations and Analysis & Approaches. Please see the descriptions and content for each of these courses in the next section of the mathematics course descriptions.
Algebra I (Grade 9)
Algebra I is the first course in the series of academic math courses necessary for college admission as well as the satisfaction of state/national mathematics content standards. The course will include the following content: the real number system, solving onevariable equations and inequalities, linear equations and inequalities, systems of linear equations and inequalities, coordinate graphing, factoring polynomials, simplifying rational and radical expressions, properties of exponents, and answering questions based on data displays, statistical calculations, and probability. Students will work on problem solving and completing openended responses. At the end of this course, students will take the Algebra I Keystone exam.
PD Geometry (Grades 9/10)Geometry is one in a series of academic math courses necessary for entry into the International Baccalaureate courses, state mandated assessments, and college admission. The course includes the systematic study of points, lines, planes, circles congruence and similarity of polygons (with a focus on triangles and quadrilaterals), as well as area and volume of solid figures. This course also studies deductive reasoning through the introduction of two  column proofs. In addition, the course requires students to calculate probability, using area and define geometric shapes algebraically and graphically.PD Algebra II (Grades 9/10)Algebra II is one course in the series of academic math courses necessary for entry into the International Baccalaureate courses, state mandated assessments, and college admission. The course includes functions, systems of equations, quadratic functions, polynomial functions, exponents, radical equations, rational functions, exponential functions, statistics, and probability. In addition, students are required to explore and apply matrix operations, logarithms, and conics. The primary goal of this cour se is the genuine working comprehension of the fundamental concepts of Algebra necessary for all higher  level math and science courses.PD Math Analysis (Grade 10)Math Analysis is a rigorous course designed to pr epare students for the International Baccalaureate Higher Level Mathematics and college admission. The course begins with a review and extension of functions and their graphs, followed by proofs of theorems through mathematical induction. Trigonometry is introduced through circular functions and trigonometric functions of general angles. Practical applications are studied through right triangles, law of sines and cosines, and area formulas. The course also requires students to study limits, sequences an d series, exponential and logarithmic functions and functions emphasizing curve sketching and differentiation. A TI  83 or 84 series graphing calculator is highly recommended. TI  89 model calculators are not permitted on tests.IB MATHEMATICS (Grade 11/12)
The nature of mathematics can be summarized in a number of ways: for example, it can be seen as a welldefined body of knowledge, as an abstract system of ideas, or as a useful tool. For many people it is probably a combination of these, but there is no doubt that mathematical knowledge provides an important key to understanding the world in which we live. Mathematics can enter our lives in a number of ways: we buy produce in the market, consult a timetable, read a newspaper, time a process or estimate a length. Mathematics, for most of us, also extends into our chosen profession: artists need to learn about perspective; musicians need to appreciate the mathematical relationships within and between different rhythms; economists need to recognize trends in financial dealings; and engineers need to take account of stress patterns in physical materials. Scientists view mathematics as a language that is central to our understanding of events that occur in the natural world. Some people enjoy the challenges offered by the logical methods of mathematics and the adventure in reason that mathematical proof has to offer. Others appreciate mathematics as an aesthetic experience or even as a cornerstone of philosophy. This prevalence of mathematics in our lives provides a clear and sufficient rationale for making the study of this subject compulsory within the Diploma Programme.
*Students wishing to attend a college or university in Germany to study technology, mathematics, or natural sciences (excluding medicine and pharmacy) must complete IB Mathematics at the Higher Level. Please see your counselor or the IB Coordinator for more information if needed.
ST5034 IB Mathematics Applications & Interpretations Year One  SL
ST5044 IB Mathematics Applications & Interpretations Year Two  SL
ST5035 IB Mathematics Applications & Interpretations Year One  HL
ST5045 IB Mathematics Applications & Interpretations Year Two  HL
According to the International Baccalaureate Organization this course is designed for students who enjoy describing the real world and solving practical problems using mathematics, those who are interested in harnessing the power of technology alongside exploring mathematical models and enjoy the more practical side of mathematics. This course is aimed at students who will go on to study subjects such as social sciences, natural sciences, statistics, business, some economics courses, psychology, and design.
The Higher Level Course will include new content, including statistics. It is intended to meet the needs of students whose interest in mathematics is more practical than theoretical but seek more challenging content and requires strong Algebra 2 skills.
ST5134 IB Mathematics Analysis & Approaches Year One  SL
ST5144 IB Mathematics Analysis & Approaches Year Two  SL
ST5135 IB Mathematics Analysis & Approaches Year One  HL
ST5145 IB Mathematics Analysis & Approaches Year Two  HL
According to the International Baccalaureate Organization this course is intended for students who wish to pursue studies in mathematics at university or subjects that have a large mathematical content; it is for students who enjoy developing mathematical arguments, problem solving and exploring real and abstract applications, with and without technology. This course is aimed at students who will go onto study areas of substantial mathematics content such as mathematics itself, engineering, physical sciences, or some economics courses.