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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
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 |
Homero Gallegos |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
CLOSED
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)
CLOSED
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 |
Thinula De Silva |
$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 |
Sarah Seales |
$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 |
Jeffrey Hankins |
$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 |
Luis Ares |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
ENROLL
With Books $439
|
Sunday
May 12 - Aug 4 |
7:30 - 9:00 PM ET
May 12 - Aug 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 |
Asa Frank |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
ENROLL
With Books $439
|
Thursday
May 16 - Aug 8 |
7:30 - 9:00 PM ET
May 16 - Aug 8
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 |
Jeffrey Hankins |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
ENROLL
With Books $439
|
Wednesday
May 29 - Aug 14 |
7:30 - 9:00 PM ET
May 29 - Aug 14
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)
ENROLL
With Books $439
|
Friday
Jun 7 - Aug 23 |
7:30 - 9:00 PM ET
Jun 7 - Aug 23
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
Jun 11 - Aug 27 |
4:30 - 6:00 PM ET –
Jun 11 - Aug 27
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 |
TBA |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
ENROLL
With Books $439
|
Monday
Jun 17 - Sep 9 |
7:30 - 9:00 PM ET
Jun 17 - Sep 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
|
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 |
TBA |
$390
$439 w/books
|
$390
ENROLL
With Books $439
|
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 |
TBA |
$390
(~$33/week)
$439 w/books
|
$390
(~$33/week)
ENROLL
With Books $439
|
AoPS Holidays
There are no classes May 25 ‐ 27, July 4, August 30 ‐ September 2, and November 25 ‐ December 1.
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 |