# Math Program

- Overview
- Why Math Competitions
- Why AlphaStar Math Program
- Math Curriculum
- Levels and Diagnostic Exams

# Overview

AlphaStar Math Program offers math competition training via weekly Fall/Spring courses and Summer/Winter camps. The program trains students towards prestigious math competitions such as MathCounts, American Mathematics Competitions (AMC) 8/10/12, American Invitational Math Exam (AIME), and USA Math Olympiads (USA(J)MO).

AlphaStar Math Program curriculum is aligned with the curriculum of these competitions. Courses are taught by AlphaStar Faculty who have participation/coaching experience in National and International Math competitions and olympiads such as USA Math Olympiads and the International Math Olympiads.

# Why Math Competitions

**Challenge and Motivation:**Math Competitions motivate gifted students via interesting and challenging problems and topics. Many of them have team rounds which help build collaboration and team skills and make learning math more fun among peers with similar interests.**Problem Solving Skills:**Math competitions help students develop and improve problem solving skills which helps in high school, college, and careers as a lifelong skill.**College Applications:**Participation and success in Math competitions is a great bonus in application for top colleges. For example, Caltech and MIT applications specifically ask students AMC 10/12 and AIME scores.

# Why AlphaStar Math Program

The distinguished features AlphaStar Math Program can be summarized as follows:

**Curriculum/Courses:**

Well-established curriculum and course material that are being developed since 2008 with continuous updates.- Aligned with prestigious math competitions
- More than 6,000 problems and solutions in all levels combined
- Tips, hints and exam strategies from experts
- Online account with access to all lecture materials and an interactive online forum
- Lecture Materials include Lecture Notes, problems and solutions for Pre-Post Exams, Lecture, Homework/Practice, and Quizzes.

**Faculty:**

Teachers with participation/coaching experience in National and International Math competitions and olympiads.**Environment:**

Provides a unique environment and opportunity to be a part of AlphaStar community of high achieving and gifted students, parents and faculty.**Master Classes and Competition Teams:**

AlphaStar offers free master courses for exceptionally advanced students and fields teams for math competitions organized by prestigious universities.**Achievements:**

AlphaStar students and teams participate in many math competitions and get outstanding results such as MathCounts National qualifiers, AMC 8/10/12 perfect scores, Math Prize for Girls medals, USAJMO/USAMO qualifiers and Winners, USA National Math Camp (MOSP) qualifiers, International Math Olympiad medals, and winning teams at Harvard, MIT, Princeton, Berkeley, Stanford, Caltech, and Harvey Mudd Math competitions.

# Math Curriculum

AlphaStar Math Program offers two types of Math courses: Subject and Booster courses.

## Subject Courses

Subject courses help students master problem solving techniques and skills in a level and subject area of math. There are eight levels with four subject offerings in each: Algebra, Counting, Geometry, and Number Theory. Each of these subject courses are taught via 12 chapters. For each chapter, there are Lecture Notes, Example Problems, Exercise (HW) Problems, and a Quiz. Please click below to find objectives along with a sample problem for each chapter:

Math Curriculum: Objectives and Sample Problems

## Booster Courses

Booster courses mainly focus on exam practice and strategies and go through selected topics and skills that are essential for math competition mastery.

They give students a boosting opportunity to review the materials, practice and master their test taking strategies and problem solving skills. It consists of selected essential topics, problem solving, practice exams, solutions, and strategy sessions.

Booster courses are offered in five levels: AMC 8 Advanced, AMC 10 Basic, AMC 10 Advanced, AIME Basic, and AIME Advanced.

**Note:** AMC 10 Basic and Advanced Booster courses focus on the AMC 10 exam, and omit topics (Logarithm, Trigonometry, and Complex Numbers) that are needed for AMC 12 but not for AMC 10.

## Course Types

To see the differences and similarities between subject and booster courses please check the following table

Subject Courses | Booster Courses | |
---|---|---|

Curriculum | All topics within subject | Selected topics and problem solving |

Focus | Subject Mastery | Exam Strategies |

Number of 90-minute Sessions | 12 sessions* | 2 sessions x 6 days (AMC 8 Booster) 4 sessions (AMC 10 mini-Booster) 4 sessions x 6 days (AMC 10 Booster) 4 sessions x 6 days (AIME Booster) |

Homework/Quiz | 12 (one per session) | None |

Exams | Final Exam (not in class) | 3 Practice Tests (AMC 8) 1 Practice Test ** (AMC 10 mini-Booster) 3 Practice Tests (AMC 10 Booster) 2 Practice Tests (AIME) (**: Not in class) |

*(*) Live version of these courses are offered at different paces: *

*Fall/Spring: Weekly sessions for 12 weeks**Summer: Daily sessions on weekdays over 3 weeks**Winter: Two sessions per day over 6 days*

# Levels and Diagnostic Exams

Below is a short description for each level. along with a diagnostic exam:

**MC15 (Pre-MathCounts):**For students in grades 4-6 who are good at school math.*Target Contests:*MOEMS, Math League, Math Kangaroo, Noetic, Alpha Math Contest*Who should take:*Students who can solve without guessing between 20 and 35 problems in the diagnostic exam below- Diagnostic Exam and Answers

(2015 Math League 6th Grade, 40 questions, 30 minutes)

**MC20 (AMC 8/MathCounts Basic):**For middle school students who are familiar with Pre-Algebra topics and want to start training for middle school math competitions*Target Contests:*AMC 8, MathCounts*Who should take:*Students who can solve, without guessing between 10 and 18 problems on the diagnostic exam below- Diagnostic Exam and Answers

(2018 AMC 8, 25 questions, 40 minutes, no calculators)

**MC25 (AMC 8/MathCounts Advanced):**For middle school students who are familiar with Algebra-1 topics and want to master middle school math competitions- Target Contests: AMC 8, MathCounts, Berkeley mini Math Tournament
- Who should take: Students who can solve, without guessing between 16 and 22 problems on the diagnostic exam below
- Diagnostic Exam and Answers

(2018 AMC 8, 25 questions, 40 minutes, no calculators)

**MC30 (AMC 10/12 Basic):**For middle and high school students who are familiar with Algebra-1 topics and want to start training for high school math competitions AMC 10/12*Target Contests:*AMC 10, AMC 12*Who should take:*Students who can solve, without guessing between 10 and 18 problems on the diagnostic exam below- Diagnostic Exam and Answers

(2018 AMC 10A, 25 questions, 75 minutes, no calculators)

**MC35 (AMC 10/12 Advanced):**For middle and high school students who are very comfortable with Algebra-1 topics and want to master high school math competitions AMC 10/12*Target Contests:*AMC 10/12, Harvard MIT Math Tournament November*Who should take:*Students who can solve, without guessing between 16 and 22 problems on the diagnostic exam below- Diagnostic Exam and Answers

(2018 AMC 10A, 25 questions, 75 minutes, no calculators)

**MC40 (AIME Basic):**For students who are comfortable with AIME qualification and want to start training for AIME, ARML, and high school competitions organized by prestigious universities.*Target Contests:*AIME, ARML, Harvard MIT Math Tournament, Princeton Math Competition, Caltech Harvey Mudd Math Competition, Stanford Math Tournament, Berkeley Math Tournament*Who should take:*Students who can solve, without guessing between 2 and 7 problems on the diagnostic exam below- Diagnostic Exam and Answers

(2018 AIME-I, 15 questions, 3 hours, no calculators)

**MC45 (AIME Advanced):**For students who want to master AIME, ARML, and high school competitions organized by prestigious universities*Target Contests:*AIME, ARML, Harvard MIT Math Tournament (HMMT), Caltech Harvey Mudd Math Competition (CHMMC), Stanford Math Tournament (SUMO)*Who should take:*Students who can solve, without guessing between 6 and 12 problems on the diagnostic exam below- Diagnostic Exam and Answers

(2018 AIME-I, 15 questions, 3 hours, no calculators)

**MC50 (USA(J)MO):**An introductory proof writing course. For students who are confident about USAJMO/USAMO qualification and are willing to work one hour on a single math Olympiad problem.*Target Contests:*USAJMO, USAMO*Who should take:*Students who can work for hours on proof problems and can follow the logical proof solutions as in the diagnostic exam below- Diagnostic Exam

(2018 USAJMO Day 1, 3 problems, 4.5 hours, no calculators)