2008 Bay Area AMC 123 Curriculum
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Students are divided into four groups: Beyond MATHCOUNTS, AMC 10/12, AMC 12/AIME, and AIME/USAMO.
Beyond MATHCOUNTS group
The classes for this group are designed to help students solidify and deepen their command of algebra and geometry while helping them prepare for MATHCOUNTS chapter, state, national rounds and AMC 8/10 tests. We will focus on AMC 8 tests and entry into medium level AMC 10 problems.
AMC 10/12 group
The classes for this group will help experienced math students extend their grasp of algebraic and geometric tools and apply them to combinatorial and number theory problems while helping them prepare for AMC 10 and AMC 12 tests. We will focus on solving medium to hard level problems of AMC 10 and medium level problems of AMC 12.
AMC 12/AIME group
The classes for this group will help students who can routinely solve at least a few problems on the AIME to develop their problem-solving skills for the next level. The hard problems in AMC 12 and medium to hard level of AIME will be the focal points of this group.
AIME/USAMO group
The classes for this group will help students who are capable of qualifying for USAMO develop their skills and proof writing techniques in advanced topics covered in high end math competitions. We will focus on solving hard problems in AIME and entry to medium level of USAMO problems.
Session 1 (Dec. 21 - 24): Algebra and Combinatorics Session 2 curriculum
Sunday, Dec. 21, 2008 (9:30 AM - 6:30 PM)
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Beyond MATHCOUNTS | AMC 10/AMC 12 | AMC 12/AIME | USAMO |
| 9:30 AM - 12:30 PM | Ms. Yunhua Xu | Mr. Chengde Feng | Mr. Zuming Feng, Yi Han | Mr. Titu Andreescu |
| Algebra 0.75 | Algebra 1.75 | Polynomials, Roots, and Coefficients | Sums and Products | |
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12:30 PM - 1:30 PM |
Lunch break | Lunch break | Lunch break | Lunch break |
| 1:30 PM - 4:30 PM | Ms. Yunhua Xu | Mr. Chengde Feng | Mr. Zuming Feng, Yi Han | Mr. Titu Andreescu |
| Counting with Fingers | Addition and Multiplication Principles | Bionomial Coefficients | Pigeonhole Principles | |
| 4:30 PM - 6:30 PM | Annie Zhang /Zuming Feng | Annie Zhang /Zuming Feng | Yi Han, Yi Sun | Yi Han, Yi Sun |
| Team Countdown | Team Countdown | Guts Round | Guts Round |
Monday, Dec. 22, 2008 (9:30 AM - 6:30 PM)
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Beyond MATHCOUNTS | AMC 10/AMC 12 | AMC 12/AIME | USAMO |
| 9:30 AM - 12:30 PM | Ms. Yunhua Xu | Mr. Chengde Feng | Gabriel Carroll, Yi Han | Mr. Zuming Feng |
| Algebra 1 | Combinations and Permutations | Bijections | Inequalities I | |
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12:30 PM - 1:30 PM |
Lunch break | Lunch break | Lunch break | Lunch break |
| 1:30 PM - 4:30 PM | Ms. Yunhua Xu | Mr. Zuming Feng | Mr. Titu Andreescu, Yi Han | Gabriel Carroll |
| Counting with Toes Too | Time, Rate, and Distance | Sequences, Sums, and Products | Combinatorial Arguments | |
| 4:30 PM - 6:30 PM | Annie Zhang /Zuming Feng | Annie Zhang /Zuming Feng | Yi Han, Yi Sun | Yi Han, Yi Sun |
| Individual Countdown | Individual Countdown | Team Contest | Team Contest |
Tuesday, Dec. 23, 2008 (9:30 AM - 6:30 PM)
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Beyond MATHCOUNTS | AMC 10/AMC 12 | AMC 12/AIME | USAMO |
| 9:30 AM - 12:30 PM | Ms. Yunhua Xu | Mr. Chengde Feng | Mr. Zuming Feng, Yi Han | Mr. Titu Andreescu |
| Algebra 1.25 | Algebra 2 | Special Equations | Function Equations | |
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12:30 PM - 1:30 PM |
Lunch break | Lunch break | Lunch break | Lunch break |
| 1:30 PM - 4:30 PM | Ms. Yunhua Xu | Mr. Chengde Feng | Mr. Zuming Feng, Yi Han | Mr. Titu Andreescu |
| Counting geometric figures | Probabilities I | Recursions | Inductions | |
| 4:30 PM - 6:30 PM | Annie Zhang /Zuming Feng | Annie Zhang /Zuming Feng | Yi Han, Yi Sun | Yi Han, Yi Sun |
| Team Countdown | Team Countdown | Guts Contest | Guts Contest |
Wednesday, Dec. 24, 2008 (9:30 AM - 12:30 PM)
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Beyond MATHCOUNTS | AMC 10/AMC 12 | AMC 12/AIME | USAMO |
| 9:30 AM - 12:30 PM | Ms. Yunhua Xu | Mr. Chengde Feng | Mr. Zuming Feng, Yi Han | Mr. Titu Andreescu |
| Algebra 1.5 and Probabilities | Algebra 2.25 and Probabilities II | Systems of Equations | Inequalities II |
Session 2 (Dec. 27 - 30): Geometry and Number Theory Session 1 curriculum
Saturday, Dec. 27, 2008 (1:30 PM - 6:30 PM)
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Beyond MATHCOUNTS | AMC 10/AMC 12 | AMC 12/AIME | USAMO |
| 1:30 PM - 4:30 PM | Ms. Yunhua Xu | Mr. Chengde Feng | Mr. Chris Jeunell, Yi Han | Mr. Zuming Feng |
| Angle Computations | Angle and Measurement | Number Theory Review | Angle Chasing and Spiral Similarity | |
| 4:30 PM - 6:30 PM | Annie Zhang /Zuming Feng | Annie Zhang/ Zuming Feng | Yi Han, Yi Sun | Yi Han, Yi Sun |
| Team Countdown | Team Countdown | Guts Contest | Guts Contest |
Sunday, Dec. 28, 2008 (9:30 AM - 6:30 PM)
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Beyond MATHCOUNTS | AMC 10/AMC 12 | AMC 12/AIME | USAMO |
| 9:30 AM - 12:30 PM | Ms. Yunhua Xu | Mr. Chengde Feng | Gabriel Carroll, Yi Han | Mr. Zuming Feng |
| Special Triangles and Regular Polygons | Triangles and Polygons | Complex Numbers | Modular Arithmetic and Diophantine Equations I | |
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12:30 PM - 1:30 PM |
Lunch break | Lunch break | Lunch break | Lunch break |
| 1:30 PM - 4:30 PM | Ms. Yunhua Xu | Mr. Chengde Feng | Mr. Chris Jeuell, Yi Han | Mr. Zuming Feng |
| Primes Factorizations | Number Senses 1 | Modular Arithmetic | Centers of Triangles | |
| 4:30 PM - 6:30 PM | Annie Zhang /Zuming Feng | Annie Zhang /Zuming Feng | Yi Han, Yi Sun | Yi Han, Yi Sun |
| Individual Countdown | Individual Countdown | Team Contest | Team Contest |
Monday, Dec. 29, 2008 (9:30 AM - 6:30 PM)
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Beyond MATHCOUNTS | AMC 10/AMC 12 | AMC 12/AIME | USAMO |
| 9:30 AM - 12:30 PM | Mr. Chengde Feng | Mr. Chris Jeuell | Mr. Zuming Feng, Yi Han | Gabriel Carroll |
| Special Quadrilaterals | Divisors and Factoring | Special Angles | Classical N.T. Theorems | |
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12:30 PM - 1:30 PM |
Lunch break | Lunch break | Lunch break | Lunch break |
| 1:30 PM - 4:30 PM | Ms. Yunhua Xu | Mr. Chris Jeuell | Mr. Zuming Feng, Yi Han | Gabriel Carroll |
| Divisibility, G.C.D., L.C.M | Circle Theorems | Law of Sines and Cosines | Combinatorial N.T. | |
| 4:30 PM - 6:30 PM | Annie Zhang/ Yunhua Xu | Annie Zhang /Yunhua Xu | Yi Han, Yi Sun | Yi Han, Yi Sun |
| Team Countdown | Team Countdown | Guts Contest | Guts Contest |
Tuesday, Dec. 30, 2008 (9:30 AM - 6:00 PM)
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Beyond MATHCOUNTS | AMC 10/AMC 12 | AMC 12/AIME | USAMO |
| 9:30 AM - 12:30 PM | Ms. Yunhua Xu | Mr. Chengde Feng | Mr. Chris Jeuell, Yi Han | Mr. Zuming Feng |
| Perfect Powers/Areas and Dissections | Similarities | Diophantine Equations | Geometric Computations | |
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12:30 PM - 1:30 PM |
Lunch break | Lunch break | Lunch break | Lunch break |
| 1:30 PM - 4:30 PM | Ms. Yunhua Xu | Mr. Chengde Feng | Mr. Chris Jeuell, Yi Han | Zuming Feng |
| Solid Geometry | Number Sense II | Specialty Geometry Theorems | Diophantine Equation II | |
| 4:30 PM - 6:00 PM | All | All | All | All |
| Closing Ceremony/talent Show | Closing Ceremony/talent Show | Closing Ceremony/talent Show | Closing Ceremony/talent Show |