Division of Math offers 12 courses based on National Chinese Curriculum Standards (NCCS), Common Core State Standards (CCSS) and Advanced Placement (AP), three of which are AP certified.
We encourage all our learners to understand and appreciate the beauty and utility of mathematics. Considering mathematics as a powerful tool to understand the natural and human phenomena, we equip our learners with mathematical competencies (e.g. logical reasoning, mathematical operation, data analysis, mathematical modeling, use appropriate tools, critical thinking, etc. to solve both theoretical and practical problems.
The flexibility of the math curriculum allows all learners to enter math classes at any time. The mandatory courses are designed from elementary to advanced level so that learners are able to challenge their understanding and interpretation of mathematics. For learners who intend to pursue STEM-related majors and careers in the future, or are simply interested in exploring more about the development of mathematics, we also provide various elective courses, including math history, calculus, statistics, and math modeling.
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 is for learners who demonstrate the need for thorough learning of algebra in the placement test. Most incoming students who have finished 8 years of math education are recommended to take this course unless they demonstrate a strong background in algebra. The topics in the first term include data handing (descriptive one variable statistics), equations and inequalities, introduction-to functions and quadratic functions, logic and geometric proof, congruence &similarity. In the second term, right triangle trigonometry, coordinate geometry, circle, rational and irrational numbers, data handling (descriptive two variables statistics).
This course is designed for learners who intend to study STEM subjects such as science, technology, engineering and mathematics. We 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. Students 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 probability and statistics, equations and inequalities, linear functions and systems, parent functions and transformations, quadratic equations and complex numbers. The second semester involves polynomial functions, radical functions, exponential and logarithmic functions, rational functions and trigonometry.
This course is designed for learners who intend to study subjects such as humanity, statistics, business, psychology, art and design in the future.
This course focuses on life-related applications of mathematics that enable learners to develop the ability and confidence to think numerically and spatially for the interpretation and critical analysis of problem-solving in daily scenarios. The first term of the course involves Analyzing Data; Quantifying Chance; Mathematics As A Language and Modeling Relationship With Functions. The topics in the second term will cover Modeling Rational and Polynomial Functions; Mathematics As the Science of Patterns; Modeling Relationships with Circular Functions and Application of Trigonometric Functions.
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, shape, and change the world in the respective fields of science, engineering, and technology. The first term of the course will cover bivariate statistics, intro to probability, functions, and exponential and logarithmic functions. The second term will cover rational and polynomial functions, sequences and series, trigonometric functions and the applications of trigonometric functions.
This course is designed for learners who intend to study subjects such as humanity, statistics, business, psychology, art and design in the future. This course is appropriate for learners who are interested in developing their mathematical skills with a special emphasis on solving practical problems. The first term of the course will cover modeling relationships with polynomial and rational functions, trigonometry and polar coordinates, introduction to limits, complex numbers, and sequence and series. The second term will cover conics and analytic geometry, topics in statistics including sampling methods, random variables and distribution, and simulation.
Applied Mathematics is an alternative to the Precalculus/AP Calculus sequence. It is designed for students who do not intend to pursue study in the STEM fields during college years. In addition to teaching how to apply concepts taught in Algebra 1, Algebra 2, and Geometry to real world situations it also focuses on teaching the appreciation of mathematics.
This lesson has been organized around seven key mathematical domains which are relations between quantities and algebraic expressions, ratio and proportional reasoning, connecting measurement and decimals, spatial and geometrical reasoning, reasoning about data, reasoning about uncertainty, and functional relations between variables. Students are assessed using a range of assessments including presentations, projects, and class discussions.
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 their application, and differential equations. We will equip you with any necessary training for 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 interests in exploring statistics as a tool in causal analysis and researches. The first term of the course covers one variable and two-variable data, probability, random variable and distributions, estimating. The topics in the second term include the hypothesis testing for one and two samples distribution and regression. Also, we will equip you with any necessary training for AP statistics test and an exploration report using the 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.
This course is for students who demonstrate a solid foundation in basic algebra as well as sufficient interest in those major 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 students' abstract understanding by trigger the thoughts on big ideas including "linear" and "space". The main contents for this course is vector space, matrix, the solutions of linear equations, determinant, eigenvalue and eigenvector, and linear transformation. Students will also learn to apply the knowledge by basic Python coding on linear algebra computation and modeling 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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