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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 lessons |
| 12 lessons ARE YOU READY? DO YOU NEED THIS? SYLLABUS |
Schedule
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Tue & Thurs
Jul 9 - Aug 15 |
7:30 - 9:00 PM ET
Jul 9 - Aug 15
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 |
Charles Buehrle |
$390
(~$33/lesson)
$439 w/books
|
$390
(~$33/lesson)
CLOSED
With Books $439
|
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Sunday
Jul 28 - Oct 20 |
7:30 - 9:00 PM ET
Jul 28 - Oct 20
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 |
Orianne Luo |
$390
(~$33/lesson)
$439 w/books
|
$390
(~$33/lesson)
ENROLL
With Books $439
|
|
Monday
Aug 19 - Nov 11 |
7:30 - 9:00 PM ET
Aug 19 - Nov 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 |
Asa Frank |
$390
(~$33/lesson)
$439 w/books
|
$390
(~$33/lesson)
ENROLL
With Books $439
|
|
Thursday
Aug 29 - Nov 21 |
7:30 - 9:00 PM ET
Aug 29 - Nov 21
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 |
sarah-marie belcastro |
$390
(~$33/lesson)
$439 w/books
|
$390
(~$33/lesson)
ENROLL
With Books $439
|
|
Sunday
Sep 8 - Nov 24 |
7:30 - 9:00 PM ET
Sep 8 - Nov 24
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 |
Maria Mendes |
$390
(~$33/lesson)
$439 w/books
|
$390
(~$33/lesson)
ENROLL
With Books $439
|
|
Wednesday
Sep 25 - Dec 18 |
7:30 - 9:00 PM ET
Sep 25 - Dec 18
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/lesson)
$439 w/books
|
$390
(~$33/lesson)
ENROLL
With Books $439
|
|
Sunday
Oct 27 - Feb 2 |
7:30 - 9:00 PM ET
Oct 27 - Feb 2
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 |
Achilleas Sinefakopoulos |
$390
(~$33/lesson)
$439 w/books
|
$390
(~$33/lesson)
ENROLL
With Books $439
|
|
Thursday
Dec 5 - Mar 6 |
7:30 - 9:00 PM ET
Dec 5 - Mar 6
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 |
Thomas Zhang |
$390
(~$33/lesson)
$439 w/books
|
$390
(~$33/lesson)
ENROLL
With Books $439
|
AoPS Holidays
There are no classes August 30 ‐ September 2, October 31, November 25 ‐ December 1, and December 21, 2024 ‐ January 3, 2025.
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
| 1 | Lists, Venn Diagrams, Addition, Multiplication |
| 2 | Casework, Constructions, and Restriction |
| 3 | Overcounting and Combinations |
| 4 | Combinations and Distinguishability |
| 5 | Challenging Problems Day |
| 6 | Introduction to Probability |
| 7 | Probability and Arithmetic |
| 8 | Geometric Probability, Think About It!, and Expected Value |
| 9 | Pascal's Triangle and Identities |
| 10 | Distributions and The Hockey Stick Identity |
| 11 | The Binomial Theorem |
| 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 |
