2026-27 BrightPath Academy Course Descriptions
Grade 2
Our grade 2 course will provide an early exposure to rigorous and fun curriculum for aspiring Mathletes. The content of this course will cover topics ranging from introductory exercises to hard math puzzles and very challenging word problems. We are very keen on preparing our students to tackle the most difficult multi-step, interesting, non-routine word problems.
We will be utilizing two different Singapore Math books to prepare our students to regional and national math contests available for grade 2 students. Our students will solve lots of exercises while at the center and will be given homework from the textbooks used.
The topics will be including but not limited to:
| Fall Semester | Spring Semester |
| TimeIntervalsAdditionSolve by Comparison and Replacement Age ProblemsDivisionChicken and Rabbit ProblemsLooking for a PatternCounting | 1) Logic2) Make a List, Make a Table3) Using Models4) In Search of a Series5) What Comes Next?6) Math IQ7) Geometry8) Odd and Even Numbers9) Ordinal Numbers |
Math competitions for grade 2 students:
Grade 3
Our grade 3 course will provide an early exposure to rigorous and fun curriculum for aspiring Mathletes. The content of this course will cover topics ranging from introductory exercises to hard math puzzles and very challenging word problems. We are very keen on preparing our students to tackle the most difficult multi-step, interesting, non-routine word problems.
We will be utilizing two different Singapore Math books to prepare our students to regional and national math contests available for grade 3 students. Our students will solve lots of exercises while at the center and will be given homework from the textbooks used.
The topics will be including but not limited to:
| Fall Semester | Spring Semester |
| Looking for a PatternThe Story of Gauss (Gauss Sums)Using ModelsIntervalsSolve by Comparison and ReplacementCountingTricks in Addition and SubtractionTricks in MultiplicationWorking Backward | Chicken and Rabbit ProblemsLogicMake a ListExcess and Shortage ProblemsMath IQCatching UpDigits, Numbers and MultiplesPerimeters of Squares and Rectangles |
Math competitions for grade 3 students:
Grade 4
Our students will be exposed to topics and related math problems that are frequently encountered in MathCounts competition. Target grades for this course are grades 3-5.
We will be utilizing two different Singapore Math books to prepare our students to regional and national math contests available for grade 4 students. Our students will solve lots of exercises while at the center and will be given homework from the textbooks used.
The topics will be including but not limited to:
| Fall Semester | Spring Semester |
| Looking for a PatternThe Story of Gauss (Gauss Sums)Working BackwardsThe Chicken and Rabbit ProblemsIntervalsTricks in Addition and SubtractionTricks in Multiplication and DivisionLogicDistance = Rate x Time (Catching Up)Distance = Rate x Time (Encountering) | The Age ProblemsSolve Using ModelsSolve by Comparison and ReplacementThe Excess and Shortage ProblemsFinding CubesIQ ProblemsInteresting Remainder ProblemsFinding PerimeterThe Page Number ProblemsCounting |
Math Competitions targeted with this course are:
Who should Take This Course
Who should Skip This Course
Diagnostic Exam
6th grade mathleague.com contest. 40 questions, 30 minutes, calculator is allowed. Please take the test at one sitting without any interruptions.
Grade 5
Our students will be exposed to topics and related math problems that are frequently encountered in MathCounts competition. Target grades for this course are grades 4-6.
We will be utilizing two different Singapore Math books to prepare our students to regional and national math contests available for grade 5 students. Our students will solve lots of exercises while at the center and will be given homework from the textbooks used.
The topics will be including but not limited to:
| Fall Semester | Spring Semester |
| The Four OperationsSolve by AssumingLooking for a PatternWorking BackwardsArithmetic SequencePrime NumbersDivisibilityLogic | Writing Simple EquationsRemainder ProblemsAverage ProblemsAreaFractionsSquare Numbers and Units DigitPercentageAngles and Triangles |
Math Competitions targeted with this course are:
Who should Take This Course
Who should Skip This Course
Diagnostic Exam
6th grade mathleague.com contest. 40 questions, 30 minutes, calculator is allowed. Please take the test at one sitting without any interruptions.
PSAT 8/9 Math (Grades 6-9)
The PSAT 8/9 is the first exam in the College Board’s “SAT Suite of Assessments” and is offered to eighth and ninth graders. The purpose of the PSAT 8/9 is to establish a starting point in terms of college and career readiness as students transition to high school.
Our PSAT 8/9 course is 16 weeks in length.
You can get more information about PSAT 8/9 here: https://collegereadiness.collegeboard.org/psat-8-9
Math that Matters Most
The PSAT 8/9 Math Test focuses in-depth on two essential areas of math: Problem Solving and Data Analysis, and Heart of Algebra. It also includes some Passport to Advanced Math questions.
Problem Solving and Data Analysis is about being quantitatively literate. It includes using ratios, percentages, and proportional reasoning to solve problems in science, social science, and career contexts.
The Heart of Algebra focuses on the mastery of linear equations and systems, which helps students develop key powers of abstraction.
Passport to Advanced Math focuses on more complex equations and the manipulation they require.
SAT/ACT Math ( Grades 10-11)
Why the SAT and ACT are important?
A Must For College Applications
The scores on the SAT and ACT allow colleges to narrow down the playing field and make decisions on acceptance. This also makes your individual score extremely important. The schools that are receiving 75,000 applications don’t have time to read every document, transcript, or essay.
Our SAT/ACT Math Course is 16 weeks in length.
The Math Test will focus in depth on the three areas of math that play the biggest role in a wide range of college majors and careers:
Heart of Algebra, which focuses on the mastery of linear equations and systems.
Problem Solving and Data Analysis, which is about being quantitatively literate.
Passport to Advanced Math, which features questions that require the manipulation of complex equations.
The Math Test also draws on Additional Topics in Math, including the geometry and trigonometry most relevant to college and career readiness.
You can get more information about SAT here: https://collegereadiness.collegeboard.org/sat
Please use this link to get more information about ACT: https://www.act.org/content/act/en/students-and-parents.html
AMC-8/MathCounts Basic (Grades 6-8)
AMC 8 / MathCounts Basic course is appropriate for middle school students who are new to MathCounts / AMC 8 competitions. Students should be familiar with Pre-Algebra topics.
See below for more information about MathCounts and AMC-8 competitions:
MathCounts is a national math competition for middle school students. MathCounts competition has four levels: school, chapter (regional), state and national competitions. Last two levels are designed to challenge even the most advanced middle school students. 224 students attend national competition which takes place in May. Sixth, seventh and eighth grade students coming from 56 U.S states and territories compete at the national level.
The AMC 8 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.
Math Competitions targeted with this course are:
The topics will be including but not limited to:
| Fall Semester | Spring Semester |
| Logical ReasoningOperations w/ FractionsEven and Odd (a.k.a Parity)Word Problems (related to percent)TransformationsConsecutive IntegersOperations w/ DecimalsExponentsRadicalsSets and Venn DiagramAbsolute Value | DivisibilityGeometric Visualization (3D problems)FactorsPrime NumbersRatio, Rate, ProportionLCM and GCDSolving EquationsSolving InequalitiesFunctionsPigeonhole PrincipleAngles and TrianglesPythagorean Theorem |
Who should Take This Course
Who should Skip This Course
Diagnostic Exam
2018 AMC-8, 25 questions, 40 minutes, no calculator use. Please take the test at one sitting without any interruptions.
MathCounts Advanced (Grades 6-8)
This course is designed for advanced middle school students who are familiar with MathCounts and AMC-8 topics and want to do well at MathCounts state and national levels.
See below for more information about MathCounts and AMC-8 competitions:
MathCounts is a national math competition for middle school students. MathCounts competition has four levels: school, chapter (regional), state and national competitions. Last two levels are designed to challenge even the most advanced middle school students. 224 students attend national competition which takes place in May. Sixth, seventh and eighth grade students coming from 56 U.S states and territories compete at the national level.
The AMC 8 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.
Math Competitions targeted with this course are:
The topics will be including but not limited to:
| Fall Semester | Spring Semester |
| Number bases other than 10Counting (Permutations)Counting (Combinations)Balls and Boxes/Number SeparationsProbabilityNested RadicalsVieta’s TheoremArea and Area MethodMass Point GeometrySimilar TrianglesAngle Bisectors, Heights, Medians (a.k.a Cevians)Quadrilaterals | Rectangle and SquareTrapezoidParallelogramPolygonsCircleCoordinate SystemVolumeLast Digit and RemainderEquations and ExpressionsAlgebraic ManipulationsFactoring MethodsVenn Diagrams |
Who should Take This Course
Diagnostic Exam
2018 AMC-8, 25 questions, 40 minutes, no calculator use. Please take the test at one sitting without any interruptions.
AMC-10/12 Basic (Grades 6-10)
AMC 10/12 Basic course is designed for students who are new to AMC 10/12 competitions. Students will be dealing with Algebra-1 and geometry topics. No topic from Algebra-2 is needed to tackle this course.
See below for more information on AMC-10/12:
The AMC 10 and AMC 12 are both 25-question, 75-minute, multiple choice examinations in high school mathematics designed to promote the development and enhancement of problem-solving skills.
The AMC 10 is for students in 10th grade and below, and covers the high school curriculum up to 10th grade. Students in grade 10 or below and under 17.5 years of age on the day of the contest can take the AMC 10. The AMC 12 covers the entire high school curriculum including trigonometry, advanced algebra, and advanced geometry, but excluding calculus. Students in grade 12 or below and under 19.5 years of age on the day of the contest can take the AMC 12.
Math Competitions targeted with this course are:
| Fall Semester | Spring Semester |
| Algebraic SimplificationFactoring MethodsPythagorean TheoremTriangle and Area MethodMass Point GeometryDigitsSimilarityQuadraticsCeviansCircleCoordinate GeometryQuadrilaterals | TrapezoidsParallelogramsCountingBalls and BoxesCounting Geometric FiguresArithmetic and Geometric SequencesVieta’s TheoremSolid GeometryFactors and DivisorsSolving Non-routine EquationsSolving Systems of Equations |
The topics will be including but not limited to:
Who should Take This Course
Who should Skip This Course
Diagnostic Exam
2013 AMC-10 A, 25 questions, 75 minutes, no calculators. Please take the test at one sitting without any interruptions.
AMC-10/12 Advanced (Grades 6-12)
AMC 10/12 Advanced course is for students who have extensive math competition experience. Only the most advanced, elite students can handle the topics in this course. AMC-12 competition is for students who are in grades 11 and 12. AMC-12 covers topics beyond Algebra-2 but calculus knowledge isn’t required.
Math Competitions targeted with this course are:
Who should Take This Course
Who should Skip This Course
Diagnostic Exam (Ctrl click on ‘Problems’ below)
2013 AMC-10 A, 25 questions, 75 minutes, no calculators. Please take the test at one sitting without any interruptions.
AIME Special (Problem Solving Based)
This course is designed for students who will make it to AIME but will score 2 or 3 correct answers out of 15. Our goal is to improve such students’ scores up to 6 or 7. This course will be based on AIME/HMMT/SMT contest problems. Students who have extensive contest practice content knowledge are encouraged to take this course.
AMC-10/12 Special (Problem Solving Based)
This course is designed for students who will do well on AMC-10/12 exams and will score 16 or 17 correct answers out of 25. Our goal is to improve such students’ scores up to at least 22 or 23. This course will be based on AMC-10/12 20-25 range contest problems and problems from ARML/HMMT/SMT, etc… Students who have extensive contest practice content knowledge are encouraged to take this course.
Algebra 1 (AoPS Curriculum)
Here is the course description from aops.com: A thorough introduction for students in grades 6-9 to algebra topics such as linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and more!
We will be using the Introduction to Algebra textbook from AoPS and will cover the entire textbook in two semesters. Our students will solve lots of exercises at our center and will be assigned homework as well.
Students will also be encouraged to make an AoPS account and will be assigned Algebra topics from an online resource called Alcumus from AoPS.
Who should Take This Course
Please read the document attached to the link and let your student take the pre-test to see if your student is ready for this class or not.
Who should Skip This Course
Please see the test inside the document attached to the link to see if your student needs this course or not.
Geometry (AoPS Curriculum)
Here is the course description from aops.com: A full course in challenging geometry for students in grades 7-10, including topics such as similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, introductory trigonometry, and more.
We will be using the Introduction to Geometry textbook from AoPS and will cover the entire textbook in two semesters. Our students will solve lots of exercises at our center and will be assigned homework as well.
Students will also be encouraged to make an AoPS account and will be assigned Geometry topics from an online resource called Alcumus from AoPS.
Who should Take This Course
Please read the document attached to the link and let your student take the pre-test to see if your student is ready for this class or not.
Who should Skip This Course
Please see the test inside the document attached to the link to see if your student needs this course or not.
Intermediate Algebra (AoPS Curriculum)
Here is the course description from aops.com: Topics covered in this book include a review of basic algebra topics, complex numbers, quadratics and conic sections, polynomials, multivariable expressions, sequences and series, identities, inequalities, exponents and logarithms, piecewise-defined functions, functional equations, and much more.
We will be using an Intermediate Algebra textbook from AoPS and will cover the entire textbook in two semesters. Our students will solve lots of exercises at our center and will be assigned homework as well.
Students will also be encouraged to make an AoPS account and will be assigned Intermediate Algebra topics from an online resource called Alcumus from AoPS.
Who should Take This Course
Please read the document attached to the link and let your student take the pre-test to see if your student is ready for this class or not.
Who should Skip This Course
Please see the test inside the document attached to the link to see if your student needs this course or not.
Pre-Calculus (AoPS Curriculum)
Here is the course description from aops.com: Precalculus covers trigonometry, complex numbers, vectors, and matrices. It includes nearly 1000 problems, ranging from routine exercises to extremely challenging problems drawn from major mathematics competitions such as the American Invitational Mathematics Exam and the USA Mathematical Olympiad.
We will be using the PreCalculus textbook from AoPS and will cover the entire textbook in two semesters. Our students will solve lots of exercises at our center and will be assigned homework as well.
Who should Take This Course
Please read the document attached to the link and let your student take the pre-test to see if your student is ready for this class or not.
Who should Skip This Course
Please see the test inside the document attached to the link to see if your student needs this course or not.
Contest Practice
Students will take an actual contest paper from one of the previous years first then we will go over the solutions of the contest questions. Contest practice sessions, combined with our competitive math courses will improve our students’ problem solving skills drastically. We will have our students practice the following contests based on their grade levels:
AP Calculus AB and BC
AP Calculus AB covers limits, derivatives, and integrals. AP Calculus BC covers all AP Calculus AB topics plus additional topics (including more integration techniques such as integration by parts, Taylor series, parametric equations, polar coordinate functions, and curve interpolations).
We will cover the entire AP Calculus AB and BC topics in two semesters with lots of practice opportunities. We will encourage our students to utilize several online resources.
USACO (United States Computing Olympiad) Prep Courses
This is an online course offered in two semesters. We offer this course to any aspiring middle and high school students. Students must have completed Algebra 1 course.
This course will be offered online for a total of 18 weeks each semester for two semesters.
How do USACO Exams work?
The USACO holds periodic web-based contests during the academic year, and in the late Spring conducts the US Open, our “national championship” exam. Contests generally run for three to five continuous hours in length, although for maximum flexibility, you are free to schedule this block of time anywhere within a Friday-to-Monday contest weekend — your timer starts when you log into the contest and download the problems. Contest tasks are presented on the web, and you submit your final solutions through a simple web interface. Participation is free and open to all.
Contests are offered in four divisions:
Gold and Platinum will be opened on demand.
All participants start in the bronze division, and those who score particularly well in a contest will be promoted to the next division. Contestants scoring particularly highly will be automatically promoted to the next division while a contest is running; others will need to wait until results are announced at the end of the contest to see if they meet the (contest-dependent) cutoff for promotion.
Private Tutoring and Homework Help
We will provide private tutoring and homework help for all grade levels. We offer one to one and small groups tutoring up to four students.
Students and parents need to call in or make the appointments online for private tutoring sessions that they desire.
