Mathematics

Information

Mathematics
Start: 06 September, 2018
Duration :
Instructors: Adam Lichty, Nicole Cerone
Phone : +43662824617
Fax: +43662824555
Email : alichty@ais-salzburg.at

The department of mathematics has a mission to provide all students with a solid understanding of mathematical concepts and the ability to relate and apply mathematics to real-world situations. We strive to maximize our students abilities to solve multi-step problems with and without the aid of handheld technology, thus best preparing them for the ultimate pursuit of a career in mathematics or related fields.

The department of mathematics at AIS-Salzburg believes that mathematics is of the most interdisciplinary use and is therefore considered one of the core subject areas. All students at AIS-Salzburg must be enrolled in at least one full-credit mathematics course each year in the seventh and eight grades, and complete a minimum of three academic credits in mathematics in grades nine through twelve.

It is our goal to make the transition from Pre-algebra to AP Calculus a smooth, seamless journey where the students are able to easily carry forward and relate the key concepts and ideas from their previous course.

Junior High Mathematics is a required academic course for all students in the 7th and 8th grades at AIS-Salzburg and meets daily for a total of five hours per week throughout the school year. Junior High Mathematics I at AIS-Salzburg is a general mathematics course with the purpose of providing students with a broad range of fundamental skills necessary for further study of mathematics at the high school level. The goal of the course is to strengthen students’ understanding of arithmetic while providing a strong foundation for a wide range of mathematical topics. The main topics covered by the course are: expressions and equations, inequalities, ratios and proportions, percents, circles, area and volume, exponents, and probability and statistics. Junior High Mathematics II at AIS-Salzburg is a general mathematics course with the purpose of further developing students’ skills in the fields of Algebra and Geometry. The goal of the course is to provide students with a variety of mathematical tools which can be used to solve problems, while maintaining an appropriate level of academic rigor which is often lacking from application based math courses. The main topics covered by the course are: linear equations and inequalities, exponential functions and sequences, perimeter and area, angles, triangles, and transformations. The course also teaches students how to display and analyse data, and the foundations of mathematical reasoning and proofs.
Geometry is a required, credit-bearing academic course for all students in grade 9 at AIS-Salzburg and meets daily for a total of five hours per week throughout the school year. Geometry is the study of points, lines, shapes, and solids. The students will be engaged with fascinating theories concerning these which have been proven by mathematicians over thousands of years and learn to prove them themselves. The study of geometry develops the student’s spatial awareness and ability to think and imagine in 2 and 3 dimensions. Students will learn to draw diagrams accurately and construct shapes precisely using a compass. Course content includes the study of lines, points, and planes, angles, transformations, perimeter, area and volume, congruency and similarity, the Pythagorean Theorem. Finally students will be introduced to trigonometry.
Algebra II is a required, credit-bearing academic course for all students in grade 10 at AIS-Salzburg and meets daily for a total of five hours per week throughout the school year. The Algebra II course focuses primarily on the intermediate algebra level with the goal to evolve to circular and trigonometric functions and some advanced algebra. The ultimate unity of algebra and trigonometry will provide the foundation necessary for continuing on to precalculus and AP calculus in the following years. Major objectives for the course include the study of linear, quadratic, exponential, rational, and irrational functions and the ability to graph them by hand and on an automatic grapher; the ability to select a function and derive an equation that suits the information given within the problem; use of a variety of mathematical concepts to solve the same problem; and the ability to create mathematical models of phenomena in the real world.
Precalculus is a required, credit-bearing academic course for all students in grade 11 at AIS-Salzburg and meets daily for a total of five hours per week throughout the school year. Precalculus is a full-year course which is designed to help further improve algebraic skills with particular reference to functions. Students will be introduced to and learn to manipulate a number of important functions. As well as providing the foundations for the AP Calculus course the following year, precalculus covers a wide range of skills that will support the use of algebra, graphing and logical reasoning in many other subject areas.
Advanced Mathematics is a full-credit academic course chosen by students in the 12th grade at AIS-Salzburg who do not desire the challenge that AP Calculus represents. Advanced Mathematics meets daily for a total of five hours per week throughout the school year. Advanced Mathematics is a comprehensive mathematics course in which we integrate functions, statistics, and trigonometry and apply the algebra and geometry previously studied. Major objectives of the course include making connections to other areas of mathematics, to other disciplines, and to the real world, the review and extension of ideas about linear, quadratic, exponential, and logarithm functions, as well as polynomial, trigonometric, and circular function, and the ability to collect and interpret statistics through a large variety of methods including circle graphs, histograms, box plots, etc. The Advanced Mathematics course at AIS-Salzburg is generally reserved for students whose mathematics skills do not allow them to take the pre-calculus and AP calculus courses.
AP Calculus is a full-credit academic course which meets the College Board standards of the Advanced Placement parameters for the subject of Calculus. This course can be chosen by students in the 12th grade and meets daily for a total of five hours per week throughout the school year. Senior students who complete the course with success may also choose to sit the Advanced Placement Examination in this subject. Calculus is widely recognized as one of the most fundamental areas of mathematics. This course aims to help students develop an understanding of what calculus is and then to pride them with the knowledge and skills to use it in a number of contexts. It has many uses within mathematics and the sciences generally (e.g. drawing curves, finding maximums and minimums, calculating rates of change such as acceleration, finding areas under curves and the volumes of solids generated by curves. This course is considered preparatory for students who wish to sit the AP Calculus AB Examination in May.