Division of Math offers 13 courses based on National Chinese Curriculum Standards (NCCS), Common Core State Standards (CCSS) and Advanced Placement (AP), three of which are AP certified.
The goal of the mathematics department is to inspire our learners to understand and appreciate the beauty and utility of mathematics. Taking mathematics as a powerful tool to understand natural and human phenomena, we equip our learners with mathematical competencies (e.g. logical reasoning, mathematical operation, data analysis, mathematical modeling, use of appropriate tools etc.) to solve theoretical and practical problems.
The flexibility of the math curriculum allows all learners to enter math classes at any time. The core courses are designed from elementary to advanced level so that learners are able to challenge their understanding and interpretation of mathematics throughout time. For learners intending to pursue STEM-related majors and careers in the future, or simply interested in exploring more about the development of mathematics, we provide various elective courses, including advanced calculus, advanced statistics, linear algebra and multivariable calculus. For learners intending to pursue language and art-related majors, we provide statistics modeling the world and math seminars to explore math in more applicable ways.
The math PA is an important part of our course in which learners will apply theoretical academic knowledge to a real-world situation and report their work to the public. A well-designed math PA allows learners to:
This course emphasizes how mathematical concepts can be applied to solve practical problems in many aspects of human life, sciences, finance, and many other aspects of human life. In this way, this course is aimed at learners who are most interested in how math relates to the world around us, and how it is used every day. The topics in the first semester include data analysis, linear functions, polynomial and nonlinear functions, radical and rational functions. The second semester involves logic and geometric proof, congruence&similarity triangles, right triangle and trigonometry, circles. This course is only recommended for learners who will pursue Art majors.
This course will focus on more abstract and theoretical concepts than Math Interpretation. This means a greater overall focus on the idea of proof, mathematical theorems, and mathematical argument. Learners who take Math Analysis should be excited about abstract mathematical thinking and keen to push the boundary of their mathematical understanding. The first semester involves descriptive statistics, linear functions and systems, parent functions and transformations, quadratic functions and polynomial functions. The second semester involves congruence and similarity, radical functions, rational functions, exponential and logarithmic functions, and trigonometry. In the first performance task, learners will collect data to perform descriptive statistical analysis. For the second performance task, learners will use graphing software to design their drawings according to mathematical functions.
This course is a continuation of Integrated Math 1: Interpretation. The course will focus on life-related mathematical applications, cultivate learners' thinking ability, and enable learners to think and solve problems from a mathematical perspective in daily situations. The first semester involves descriptive statistics, probability, matrices and quadratic functions; the second semester involves sequences and series, conic sections, trigonometry, and trigonometry identities. In the first performance task, learners will pick their future college by using statistical analysis on tuition fees, acceptance rates, neighbourhood crime rates, etc. For the second performance task, learners will design a stadium seating chart according to sequences and series. This course is recommended for learners who intended to study arts in the future.
This course is designed for learners who intend to pursue a major or career in science, technology, engineering and mathematics in the future. The goal of this course is for learners to acquire essential math concepts, procedures, methods and tools that allow learners to employ mathematics to understand, to shape, and to change the world in their respective fields of science, engineering, and technology. The course will cover probability, analytical geometry; modeling with exponential and logarithmic functions, and modeling periodic phenomena: trigonometric functions, sequence and series.
This course is designed for learners who are interested in participating in math competitions and want to improve their problem-solving skills in various mathematical topics. Whether you are preparing for the American Mathematics Competitions (AMC), the Mathematical Association of America's (MAA) competitions, or any other math competition, this course will provide you with the tools and techniques you need to succeed.
Throughout the course, you will explore a range of mathematical topics, including algebra, geometry, number theory, and combinatorics, and learn how to solve challenging problems that require creative and analytical thinking. You will also have the opportunity to practice with a variety of problem sets and gain valuable feedback from experienced instructors.
Advanced PreCalculus builds upon your existing knowledge of algebra, geometry, and trigonometry. In this course, you will explore the properties of different functions, solve equations and inequalities, graph functions, and analyze their behavior. Additionally, you will develop problem-solving skills and gain a deeper understanding of mathematical concepts through various applications. By the end of this course, you will have a strong foundation in calculus and be well-prepared for further studies in mathematics. Throughout this course, you will explore a variety of topics including polynomial and rational functions, exponential and logarithmic functions, trigonometric and polar functions, functions involving parameters, vectors and matrics.
This course is for students who demonstrate a solid foundation in basic algebra as well as sufficient interest to explore statistics as a tool in causal analysis and researches. The course is a problem-based exploration course consist four themes: exploring data, sampling and experimentation, probability and simulation, and statistical inference. The first term of the course covers one variable and two variable data, probability, random variable and distributions, and estimating. The topics in the second term includes the hypothesis testing for one and two samples distribution and regression. Students use technology, investigations, problem solving, and writing as they build conceptual understanding. At least one exploration report using statistical methods will be required.
This course emphasizes a multi-representational approach to calculus with concepts, results, and problems represented in a variety of ways: graphical, numerical, analytical, and verbal. The first term of the course covers basic functions and models; limits and continuity; differential calculus essentials and applications. The second term includes integral calculus essentials and its application; differential equations. We will equip you with any necessary training for the AP Calculus AB test and an exploration report about the application of calculus will be required.
This course is for learners who demonstrate a solid foundation in basic algebra as well as sufficient interest to explore statistics as a tool in causal analysis and research. The first term of the course covers one variable and two variable data, probability, random variables and distributions, and estimating. The topics in the second term include hypothesis testing for one and two samples distribution and regression. Also, we will equip you with any necessary training for the AP statistics test and an exploration report using statistical methods will be required.
This course emphasizes a multi-representational approach to calculus with concepts, results, and problems represented in a variety of ways: graphical, numerical, analytical, and verbal. The first term of the course covers basic functions and models, limits and continuity, differentiation rules and applications, and integrals and application of integration. The second term includes differential equations, parametric equations and polar coordinates, infinite sequences and series, and vector analysis. We will equip you with any necessary training for AP Calculus BC test and an exploration report about the application of calculus will be required.
Math Seminar is a course for learners who are interested in mathematics and are willing to fully understand the subject. This course is centred around mathematics and humanities. Some courses focus on the history of mathematics, mathematicians, mathematical thoughts and method, frontier of mathematics and other more mathematical subjects. Some courses aim to break the artificial barriers of the subject and design the learning content in the form of themes, such as mathematics and life, mathematics and philosophy, mathematics and music, mathematics and art, weights and measures in ancient literature, etc. The journey of exploring mathematics cannot be separated from the active participation of learners. Sharing learning experiences and making classroom presentations based on the content they are interested in is an important part of the course and the main basis for daily grades. A math essay written in English is required for both midterms and finals.
This course is for learners who demonstrate a solid foundation in basic algebra as well as sufficient interest in those majors in college like AI algorithms, social network and graph theory, or advanced micro-economics and macro-economics, which requires math a lot. This course will enrich learners' abstract understanding by triggering their thoughts on big ideas including "linear" and "space". The main contents for this course are vector space, matrix, the solutions of linear equations, determinant, eigenvalue and eigenvector, and linear transformation. Learners will also learn to apply the knowledge by basic Python coding on linear algebra computation and modelling analysis.
This course covers vector and multivariable calculus. As its name suggests, multivariable calculus is the extension of calculus to more than one variable. Topics include vectors and matrices, parametric curves, partial derivatives, double and triple integrals, and vector calculus in 2- and 3-space. In the real world, many things depend on more than one independent variable, such as:
-In thermodynamics pressure depends on volume and temperature.
-In electricity and magnetism, the magnetic and electric fields are functions of the three space variables (x,y,z) and one time variable t.
-In economics, functions can depend on a large number of independent variables, e.g., a manufacturer’s cost might depend on the prices of 27 different commodities.
In this course, we will also study graphs and relate them to derivatives and integrals. One key difference is that more variables mean more geometric dimensions. This makes visualization of graphs both harder and more rewarding and useful. After completing this course, students should have developed a clear understanding of the fundamental concepts of multivariable calculus and a range of skills allowing them to work effectively with the concepts.
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