Prealgebra 1 (G.5-6)

This course introduces algebraic concepts through manipulative strategies, problem solving, and cooperative learning. Reasoning, estimation, and connections between math and real-life applications will be emphasized throughout the course. This course is intended to build connection from basic arithmetic to algebra.

Intended Learning Objectives For This Course:
Upon completion of the course, students are expected to be able to:
 Explain, classify, and perform basic operations on the set of real numbers. 
 Solve, check, and graph linear equations and inequalities in one variable. 
 Recognize and perform basic operations on polynomials.
 Use ratios, proportions, and percents to solve problems. 
 Use concepts of probability and statistics to interpret information.
 Solve, check, and graph solutions of equations and inequalities in two variables using the coordinate system.
 Use and apply properties and formulas to solve geometric problems.
 

Algebra 2 (G.6 -8)
This course introduces formal mathematical concepts such as functions, relations, algebraic expressions, the solving and graphing system  of equations and inequalities, exponents, roots, polynomial operations, linear equations, and the quadratic formula. Emphasis is placed on studying algebra in context through problem solving and real-life applications. This course will benefit the student by equipping them with the necessary skills and understanding for future math and science studies.

Intended Learning Objectives:
Upon completion of the course, students are expected to be able to:
 Use Algebra to model data through the study of functions
 Solve and graph linear and quadratic functions
 Understand and use properties of exponents
 Explore and develop strategies for factoring polynomials
 Make connections between algebra, graph and tables
 Emphasize, review, and extend practice skills learned in mathematics

AMC 8 (G.4-8) 
According to the official introduction of AMC 8 test, the AMC 8 test is a 25-question, 40-minute, multiple choice examination in middle school mathematics designed to promote the development of problem-solving skills. The AMC 8 provides an opportunity for middle school students to develop positive attitudes towards analytical thinking and mathematics that can assist in future careers. Students apply classroom skills to unique problem-solving challenges in a low-stress and friendly environment.
Based on the above introduction, the material covered on the AMC 8 includes topics from a typical middle school mathematics curriculum. Possible topics include but are not limited to: counting and probability, estimation, proportional reasoning, elementary geometry including the Pythagorean Theorem, spatial visualization, everyday applications, and reading and interpreting graphs and tables. In addition some of the later questions may involve linear or quadratic functions and equations, coordinate geometry, and other topics traditionally covered in a beginning algebra course.
In this class, we will practice many AMC 8 problems along with the general concepts that are covered on the AMC 8 individually. Students who are studying Algebra 1 and Geometry will find this course very helpful.

AMC 10 (G7-10) 
We will cover Special Factorizations, Sequences and Series, Exponents/Radicals, System of Equations/ Absolute Value Equations, Percentages, Inequalities, and Algebra Word Problems.
We will focus on the fundamentals of algebra and apply them to the specific problem-solving that is necessary on the AMC 10. The key to success on the AMC 10 is to understand 9th and 10th-grade mathematics at a fundamental and a deep level and be able to apply those concepts to AMC-type situations. The more practice with AMC problems, the more the student will understand what is demanded of them on the AMC 10.

 

Geometry (G7 & up)

The full course sequence introduces topics such as similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, introductory trigonometry, and more. Emphasis is placed on studying geometry in context through problem solving and real-life applications. This course will benefit the student by equipping them with the necessary skills and understanding for future math and science studies.

 

Precalculus (G 6 & up) 

This is a first course in Precalculus mathematics sequence. Topics will include functions and their graphs, exponential and logarithmic functions, trigonometric functions and equations, the theory of polynomials, systems of equations, sequences and analytic geometry. Emphasis is placed on studying materials in context through problem solving and real-life applications. This course will benefit the student by equipping them with the necessary skills and understanding for future courses in Calculus sequence.
Intended Learning Objectives For This Course:
Upon completion of the course, students are expected to be able to:
1) Students will be able to perform operations on polynomial, rational, exponential, logarithmic and trigonometric functions.
2) Students will be able to graph polynomial, rational, exponential, logarithmic, trigonometric using techniques and information gathered about the functions.
3) Students will be able to solve linear, quadratic, exponential, logarithmic, absolute value equations, inequalities, and systems of equations.
4) Students will be able to recognize and manipulate circle-trigonometry and common trigonometric identities.

Introduction to Counting & Probability. 

This course is designed to provide students with fundamental concepts and techniques in the realms of counting and probability theory. The course typically covers a range of topics, starting with basic counting principles, permutations, combinations, and progressing to more advanced counting techniques such as the inclusion-exclusion principle and combinatorial identities.

Throughout the class, students often engage in problem-solving exercises and real-life applications to reinforce their understanding of the concepts. The goal is to equip students with the mathematical tools and reasoning skills necessary for analyzing and solving problems involving uncertainty and counting scenarios.

Tex Book:
Introduction to Counting & Probability (AoPS)
ISBN: 978-1-934124-10-9

 

Number Theory The course delivers a thorough examination of number theory principles, empowering students with a robust understanding of essential topics, including prime and composite numbers, divisors and multiples, divisibility, modular arithmetic, and number bases. Our goal is to establish a sturdy foundation in number theory and to elevate problem-solving skills.

 

AIME This class is dedicated to having students build a strong foundation in mathematics so that they can compete in math contests successfully. The goal is to develop mathematical skills and problem-solving techniques by solving contest problems. Our focus is to build students’ ability to reason, ability to communicate their thinking, and error analysis abilities so that they can achieve perfect scores on their math assessments and contests. We will develop many problem solving strategies in class, such as looking for pattern/sequences, drawing a diagram/Graphing a function, making organized lists/ combinations and permutations and so on. Questions may cover basic topics such as exponents, fractions, reciprocals, decimals, rates, ratios, percentage, angle, perimeter, area, circumference, basic roots, patterns, sequences, integers, triangles and right triangles, Pythagorean Theorem, Geometry, Statistics and Probability, and advanced topics such as Modular Arithmetic, Number Theory, 3D Geometry, Trig, Sets, Prove method and other fascinating topics. Besides official AIME contests, our class will help students to prepare for various math contests through building a strong conceptual foundation in mathematics and exposure to a wide variety of problems and problem-solving techniques. In a typical class, students will be exposed to a variety of fun and challenging math problems, and have many opportunities to share their expertise with classmates who are also developing their mathematical creativity and foundation.

 

Geometry

The full course sequence introduces topics such as similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, introductory trigonometry, and more. Emphasis is placed on studying geometry in context through problem solving and real-life applications. This course will benefit the student by equipping them with the necessary skills and understanding for future math and science studies.
AoPS Introduction to Geometry
Text ISBN: 978-1-934124-08-6

Professor Wu  is passionate about teaching and has over 18 years of experience teaching middle school (pre-algebra, AMC8) and high school level (algebra, geometry, precalculus and calculus, SAT, high school math contests) and college level mathematics courses, including 5+ years of teaching online classes. She taught high school math in China before moving to US for graduate study. After receiving her Ph.D. in Mathematics, Professor Wu has been teaching various undergraduate level math courses, including Precalculus, Calculus Sequences, Statistics, Linear Algebra, Mathematical Probability, etc. Her courses receive consistently high ratings from students. She is a star teacher. Professor Wu enjoys helping students to tackle challenging problems. As a math lover herself, she always encourages students to explore solutions in multiple perspectives.

Teacher Guo has 5 years of experience in teaching high school level and middle school level mathematics courses. He is currently teaching high school in the Austin neighborhood of Chicago. After graduating from UC-Berkeley with a degree in Theoretical Mathematics. Mr. Guo has been teaching various high school math courses including Algebra 1, Geometry, and Precalculus. He also leads his high school math team competing in the NSML (North Suburban Math League) and ICTM Regional and State Math Contests. Mr. Guo also competed in AMC-12, the AIME, ARML, and as a 4-year math team starter at New Trier for a top-5 math team. Students enjoy Mr. Guo’s sense of humor, laid-back style, and relational teaching style.

Dr. Dong obtained her PhD in mathematics from Binghamton University. She has been teaching mathematics and statistics for over ten years. She enjoys teaching math because students can discover and understand how math is around us from engineering to nature. When she teaches math, she provides the students with a variety of knowledge, help them achieve their goals and make sure every student reach their full potential. She received very positing feedback from her students: “Dr.Dong is great, always answers question in a timely manner, and cultivates a welcoming environment in the classroom.” “ I'm going to be a math teacher, and I love the way you taught, it was super effective for me, and made managing my course load super easy.:)” “I think she did an amazing job explaining in detail concepts in problems. I am very bad at math but she explained everything so well and did example problems that were very useful in helping the class understand how to do any kind of problem we would encounter.” When she does not teach, she likes to spend time with her children teaching them math and visiting historical places.

Sangmin Park is a math instructor with a strong foundation in both economics and mathematics. With a Master of Arts in Economics from the University at Albany, SUNY, and a Bachelor degree from Tohoku University, Sangmin has extensive experience teaching K-12 students. Specializing in subjects like Algebra, Geometry, Calculus, and Statistics, Sangmin also prepares students for standardized tests such as the SAT, ACT, and AP exams. Beyond teaching, Sangmin coaches students in math competitions like AMC and Math Kangaroo and has led chess clubs, winning several chess tournaments. Sangmin is dedicated to fostering a love of learning and helping students excel in their academic pursuits.

Customer satisfaction is our top priority. If you are not satisfied, we offer 100% refund after the 1st trial class. If the withdrawal happens after the 2nd class, refund will be prorated. If the withdrawal happens after the 3rd class or future classes, no cash refund will be made. Instead, you can use the remaining class tuition (prorated) to sign up for other classes or save it as credit for future classes. No refunds for missed classes. We reserve the right to cancel classes due to low enrollment.