Competitive Mathematics Classes with Ms. Borac
Starting in 2015, our tutoring center will offer high level math classes with Ms. Borac. Well known in the San Francisco Bay area, where she has taught many students who are now at Harvard, Columbia, Yale, Caltech, MIT, Stanford, USC, Berkeley U, UC Irvine, etc., Ms. Borac offers classes for a range of ages and levels that address the needs of students who are gifted for math.
Ms. Borac has graduated summa cum laude from the University of Bucharest and holds an M.Sc. in applied physics. Ms. Borac also holds a CA teaching credential for math 712. Before she found a strong interest in math education, Ms. Borac has worked as a software engineer in Germany and Canada.
Together with her husband who holds a doctorate in mathematics from the
Technical University of Berlin, Ms. Borac is writing two series of math problem books:
– “Competitive Math for Gifted Students” of which grade levels 1
through 4 are completed and grades 56 are now being written;
– “Math Challenges for Gifted Students” of which two books for Math
Kangaroo preparation are currently in print;
Their books are available on www.amazon.com and other online bookstores.
At Summit Tutoring, Ms. Borac will be offering the following classes:

AMC 8 preparation class for students in grade 78
Designed by Cleo Borac, competition math teacher and author, based in the San Francisco Bay Area, the class offers 10 lessons ahead of the November 15, 2016 exam:
Calendar:
08/28, 09/11, 09/18, 09/25, 10/02
10/09, 10/16, 10/23, 11/06, 11/13
2 hrs per lesson (2:30 ~ 4:30 pm), plus extra time for practice tests
Cost:
$550 + $20 materials fee
New student registration: $30 (if you are mot a student of the STC)
Lesson 1:
Lecture: Elements of Geometry for AMC 8
Class work: Drawing for geometry
Problem solving seminar
Lesson 2:
Homework review
Lecture: Solving and Testing Strategies Specific to AMC 8
Class work: Mixed Review Worksheet
Individualized analysis of score on the mixed review
Lesson 3:
Homework review
Lecture: Number Theory – I (Remainder Arithmetic)
Class work: Modular arithmetic worksheet
Problem solving seminar
Lesson 4:
Homework review
Lecture: Number Theory II (Diophantine Equations)
Class work: Diophantine Equations Worksheet
Problem solving seminar
Lesson 5:
Homework review
Lecture: Setting up linear equations and systems for word problems
Class work: Equations and systems worksheet
Problem solving seminar
Lesson 6:
Homework review
Lecture: Direct and inverse variation
Class work: Direct and inverse variation worksheet
Problem solving seminar
Lesson 7:
Homework review
Lecture: Counting permutations, combinations, and derangements
Class work: Counting worksheet
Problem solving seminar
Lesson 8:
Homework review
Lecture: Discrete probability
Class work: Discrete probability worksheet
Problem solving seminar
Lesson 9:
Homework review
Lecture: Invariants, inequalities, graphs
Class work: Practice worksheet
Problem solving seminar
Lesson 10:
Homework review
Lecture: Mixed Review
Class work: Mixed review worksheet
Individualized analysis of score on the mixed review
Which competitions, specifically, are targeted?
Since I have a preference for solid study vs. quick cramming, I like to see that students have sufficient time to internalize and completely master key notions before they take part in a specific exam. Typically, I want them to have about one year advance on the required syllabus, so that when they see the problems they are not reinventing the wheel then and there. Although this activity is for students in middle school, it is intended to cover material necessary on AMC 8 but also to build a foundation for AMC 10 exams. The speed practice is useful for any competition, but can be seen as targeting MATHCOUNTS specifically.
Who should enroll?
– students who go to grade 8 in the fall and will take AMC 8 in November; and will try AMC 10 next spring;
– students who go to grade 7 in the fall but are advanced in math, have competed previously, and function at a level above their grade

AMC 10 preparation class for students in grades 8,9, or 10
Designed by Cleo Borac, competition math teacher and author, based in the San Francisco Bay Area, the class offers 14 lessons:
Calendar:
08/28, 09/11, 09/18, 09/25, 10/02，10/09，10/16
10/23, 10/30，11/06, 11/13， 11/20， 12/04，12/11
2 hrs per lesson (4:30 ~ 6:30 pm), plus extra time for practice tests
Cost:
$770 + $20 materials fee
New student registration: $30 (if you are mot a student of the STC)
Lesson 1:
Lecture: Elements of Geometry for AMC 10
Class work: Drawing for geometry
Problem solving seminar
Lesson 2:
Homework review
Lecture: More Elements of Geometry for AMC 10
Class work: Drawing for geometry
Problem solving seminar
Lesson 3:
Homework review
Lecture: Number Theory I (Remainder Arithmetic) for AMC 10
Class work: Modular arithmetic worksheet
Problem solving seminar
Lesson 4:
Homework review
Lecture: Number Theory II (Diophantine Equations) for AMC 10
Class work: Diophantine Equations Worksheet
Problem solving seminar
Lesson 5:
Homework review
Lecture: Review for word problems
Class work: Word problems worksheet
Problem solving seminar
Lesson 6:
Homework review
Lecture: Analysis of quadratic functions, inequalities, word problems
Class work: Quadratic functions analysis
Problem solving seminar
Lesson 7:
Homework review
Lecture: Counting permutations, combinations, and derangements
Class work: Counting worksheet
Problem solving seminar
Lesson 8:
Homework review
Lecture: Discrete probability
Class work: Discrete probability worksheet
Problem solving seminar
Lesson 9:
Homework review
Lecture: Polynomials
Class work: Polynomials practice worksheet
Problem solving seminar
Lesson 10:
Homework review
Lecture: Exponentials and logarithms
Class work: Practice worksheet
Problem solving seminar
Lesson 11:
Homework review
Lecture: Analytic geometry for AMC 10
Class work: Practice worksheet
Problem solving seminar
Lesson 12:
Homework review
Lecture: Geometry III – special topics for AMC 10
Class work: Geometry practice worksheet
Individualized analysis of score on the mixed review
Lesson 13:
Homework review
Lecture: Binomial theorem and applications
Class work: Practice worksheet
Problem solving seminar
Lesson 14:
Homework review
Lecture: Mixed Review
Class work: Mixed review worksheet
Individualized analysis of score on the mixed review
Who should enroll?
– students who are in grade 9 and study algebra II
– students who are in grade 10
– students who are in lower grades but function above their grade
How much homework will be assigned?
We do assign homework. Typically, a student should spend 3 hours per week solving homework problems. However, homework is optional and the class review will cover the more difficult problems. There is not sufficient time in class to solve all the homework problems – therefore, students should try to solve most of them on their own.
Are there more lessons after the winter break?
Yes. This exam is very difficult and has increased in difficulty over the years. We cannot do enough preparation! There will be lessons starting in January and continuing up to AMC 10 B exam review.
Is this class useful for AIME?
No. Students who are certain that they will qualify for AIME and are preparing in order to improve their AIME score need a more advanced class. We only run and AIME class for about 1 month ahead of the AIME exam, but private lessons are recommended, as well as participation in the AMC 12 class.