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Introduction to Counting & ProbabilityFundamentals of counting and probability, including casework, multiplication, permutations, combinations, Pascal's triangle, probability, combinatorial identities, and the Binomial Theorem. |
12 weeks |
| 12 weeks ARE YOU READY? DO YOU NEED THIS? SYLLABUS |
Schedule
|
Tuesday
Oct 10 - Jan 23 |
4:30 - 6:00 PM ET –
Oct 10 - Jan 23
4:30 - 6:00 PM Eastern 3:30 - 5:00 PM Central 2:30 - 4:00 PM Mountain 1:30 - 3:00 PM Pacific Click here to see more time zones |
Emily Castner |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
CLOSED
With Books $439
|
|
Sunday
Oct 29 - Feb 4 |
7:30 - 9:00 PM ET
Oct 29 - Feb 4
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Judy Frank |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
CLOSED
With Books $439
|
|
Sunday
Oct 29 - Feb 4 |
7:30 - 9:00 PM ET
Oct 29 - Feb 4
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Eric Wofsey |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
CLOSED
With Books $439
|
|
Wednesday
Dec 13 - Mar 13 |
7:30 - 9:00 PM ET
Dec 13 - Mar 13
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Luís Finotti |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
ENROLL
With Books $439
|
|
Monday
Jan 8 - Mar 25 |
7:30 - 9:00 PM ET
Jan 8 - Mar 25
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Sindi Sabourin |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
ENROLL
With Books $439
|
|
Thursday
Jan 25 - Apr 11 |
7:30 - 9:00 PM ET
Jan 25 - Apr 11
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Dan Kinch |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
ENROLL
With Books $439
|
|
Sunday
Feb 11 - Apr 28 |
7:30 - 9:00 PM ET
Feb 11 - Apr 28
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Xinke Guo-Xue |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
ENROLL
With Books $439
|
|
Wednesday
Mar 6 - May 22 |
7:30 - 9:00 PM ET
Mar 6 - May 22
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
Eli Brottman |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
ENROLL
With Books $439
|
|
Friday
Mar 22 - Jun 7 |
7:30 - 9:00 PM ET
Mar 22 - Jun 7
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
TBA |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
ENROLL
With Books $439
|
|
Saturday
Mar 23 - Jun 15 |
1:00 - 2:30 PM ET –
Mar 23 - Jun 15
1:00 - 2:30 PM Eastern 12:00 - 1:30 PM Central 11:00 - 12:30 PM Mountain 10:00 - 11:30 AM Pacific Click here to see more time zones |
TBA |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
ENROLL
With Books $439
|
|
Monday
Apr 8 - Jul 1 |
7:30 - 9:00 PM ET
Apr 8 - Jul 1
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
TBA |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
ENROLL
With Books $439
|
|
Tuesday
Apr 23 - Jul 9 |
7:30 - 9:00 PM ET
Apr 23 - Jul 9
7:30 - 9:00 PM Eastern 6:30 - 8:00 PM Central 5:30 - 7:00 PM Mountain 4:30 - 6:00 PM Pacific Click here to see more time zones |
TBA |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
ENROLL
With Books $439
|
AoPS Holidays
There are no classes December 21 ‐ January 3, May 25 ‐ May 27, and July 4.
Who Should Take?
This course is appropriate for students in grades 6-9 who have mastered basic algebra up through solving linear equations and manipulating multi-variable expressions. Students who have completed our Introduction to Algebra A course should have sufficient background. This course is roughly the same difficulty as our Introduction to Number Theory class. For those preparing for contests, this course should help with MATHCOUNTS and the AMC 8/10/12 tests.Lessons
| Lesson 1 | Lists, Venn Diagrams, Addition, Multiplication |
| Lesson 2 | Casework, Constructions, and Restriction |
| Lesson 3 | Overcounting and Combinations |
| Lesson 4 | Combinations and Distinguishability |
| Lesson 5 | Challenging Problems Day |
| Lesson 6 | Introduction to Probability |
| Lesson 7 | Probability and Arithmetic |
| Lesson 8 | Geometric Probability, Think About It!, and Expected Value |
| Lesson 9 | Pascal's Triangle and Identities |
| Lesson 10 | Distributions and The Hockey Stick Identity |
| Lesson 11 | The Binomial Theorem |
| Lesson 12 | Challenging Problems Day 2 |
Required Textbook
|
Introduction to Counting & Probability
A thorough introduction for students in grades 7-10 to counting and probability topics such as permutations, combinations, Pascal's triangle, geometric probability, basic combinatorial identities, the Binomial Theorem, and more.
Related course: Introduction to Counting and Probability |
