 # Mathematics

Math 1

Primary course topics include the study of linear, quadratic, and exponential functions; congruent and similar triangles; the geometric concepts of polygons and circles; the right triangle trigonometric ratios; and probability and statistics. Students utilize their experience to create models and solve contextual problems.

Math 2

Primary course topics include further exploration into quadratic functions; formally defining higher degree polynomial, square root, absolute value, and rational functions with applications; co-ordinate graphing and transformations of geometric figures; unit circle and general triangle trigonometry; further work with circles (arcs and sectors); statistics and probability. Students utilize their experience to create models and solve contextual problems.

Math 2AG

This is first year of a two-year course sequence. Designed for sophomores, the course focuses on solidifying algebra and geometry skills.

Math 2GT

The second year of a two-year course sequence, the course is designed for juniors, the course focuses on solidifying geometry skills, right triangle trigonometry, Law of Sines, Law of Cosines, and Trigonometry Applications. Algebra I and Algebra II skills will also be integrated throughout the course.

Math 3

This course focuses on developing an interconnected, conceptual understanding of the skills, techniques, and habits of mind necessary for mathematical problem solving. Students will grow in their ability to recognize and model patterns, communicate about math both verbally and in writing, and apply course content to solve non-routine problems. The first part of the course addresses one of the most essential concepts in mathematics – the function – including its applications for modeling and problem solving. Students will explore more deeply the quadratic, polynomial, and exponential families, as well as gain exposure to logarithmic and trigonometric functions. The content for the latter portion of the year will be developed according to the needs and interests of the class, and may include analytic geometry, polar and parametric functions, matrix theory, probability, or other advanced topics.

Math 4

This course is intended as a problem-solving seminar that spans several math content areas and makes connections among different concepts and topics. Topics will be chosen according to student readiness and interest, and will combine familiar content from previous math courses (i.e. algebra, geometry, trigonometry) with the exploration of less familiar areas of math. Students will engage in the creative process of problem solving by collaborating with peers and presenting and analyzing different solution methods. Special attention will be given to developing both verbal and written communication skills.

Mathematics: Analysis and Approaches HL (11th grade only)

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.

Mathematics: Applications and Interpretations SL (11th grade only)

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 aspects of mathematics.

Mathematics: Applications and Interpretations HL (11th grade only)

This class moves quickly through the content that the SL course will cover, but will also include new content, including advanced statistics. It is intended to meet the needs of students whose interest in mathematics is more practical than theoretical, but also seek more challenging content.

IB Math Studies SL (12th grade only)

This course focuses on important interconnected mathematical topics: placing more emphasis on student understanding of fundamental concepts than on symbolic manipulation and complex manipulative skills; giving greater emphasis to developing students’ mathematical reasoning rather than performing routine operations; solving mathematical problems embedded in a wide range of contexts; and using the calculator effectively. There is an emphasis on applications of mathematics and statistical techniques. The course is designed to offer students with varied mathematical backgrounds and abilities the opportunity to learn important concepts and techniques and to gain an understanding of a wide variety of mathematical topics, preparing them to solve problems in a variety of settings, develop more sophisticated mathematical reasoning, and enhance their critical thinking.

IB Mathematics SL (12th grade only)

This course focuses on developing an interconnected, conceptual understanding of the skills, techniques, and habits of mind necessary for mathematical problem solving. Students will grow in their ability to recognize and model patterns, communicate about math both verbally and in writing, and apply course content to solve non-routine problems. Content will come primarily from the six core areas of mathematics established by the IB curriculum: algebra, functions, trigonometry, vectors, probability and statistics, and calculus. In addition to the external written assessment, students will have the opportunity to engage in a project in which they deeply explore and write about an area of mathematics of personal interest. Where appropriate, students will also learn effective use of mathematical technology, including graphing calculators and Excel. The standard level course is intended for students with a strong interest in math who are looking for a challenging, conceptual treatment of the material.

IB Mathematics HL (12th grade only)

This course focuses on developing an interconnected, conceptual understanding of the skills, techniques, and habits of mind necessary for mathematical problem solving. Students will grow in their ability to recognize and model patterns, communicate about math both verbally and in writing, and apply course content to solve non-routine problems. Special emphasis will be placed on the development of formal mathematical language and notation, as well as rigorous justification and proof of results. Content will come primarily from the six core areas of mathematics established by the IB curriculum – algebra, functions, trigonometry, vectors, probability and statistics, and calculus – as well as the in-depth treatment of an optional topic to be chosen as a class. In addition to the external written assessment, students will have the opportunity to engage in a project in which they deeply explore and write about an area of mathematics of personal interest. Where appropriate, students will also learn effective use of mathematical technology, including graphing calculators and Excel. The HL course is intended for students with a strong interest in and aptitude for math who are looking for a challenging, rigorous treatment of the material.