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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
Jul 30 - Oct 22 |
7:30 - 9:00 PM ET
Jul 30 - Oct 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 |
Jon Joseph |
$380
(~$32/week)
$429 w/books
|
$380
(~$32/week)
ENROLL
With Books $429
|
Wednesday
Aug 9 - Oct 25 |
7:30 - 9:00 PM ET
Aug 9 - Oct 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 |
Jeffrey Hankins |
$380
(~$32/week)
$429 w/books
|
$380
(~$32/week)
ENROLL
With Books $429
|
Sunday
Aug 20 - Nov 12 |
1:00 - 2:30 PM ET –
Aug 20 - Nov 12
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 |
Judy Frank |
$380
(~$32/week)
$429 w/books
|
$380
(~$32/week)
ENROLL
With Books $429
|
Thursday
Sep 14 - Dec 7 |
7:30 - 9:00 PM ET
Sep 14 - Dec 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 |
sarah-marie belcastro |
$380
(~$32/week)
$429 w/books
|
$380
(~$32/week)
ENROLL
With Books $429
|
Friday
Sep 22 - Dec 15 |
7:30 - 9:00 PM ET
Sep 22 - Dec 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 |
Jeffrey Hankins |
$380
(~$32/week)
$429 w/books
|
$380
(~$32/week)
ENROLL
With Books $429
|
Monday
Oct 9 - Jan 15 |
7:30 - 9:00 PM ET
Oct 9 - Jan 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 |
Ashley Ahlin |
$380
(~$32/week)
$429 w/books
|
$380
(~$32/week)
ENROLL
With Books $429
|
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 |
$380
(~$32/week)
$429 w/books
|
$380
(~$32/week)
ENROLL
With Books $429
|
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 |
$380
(~$32/week)
$429 w/books
|
$380
(~$32/week)
ENROLL
With Books $429
|
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 |
Asa Frank |
$380
(~$32/week)
$429 w/books
|
$380
(~$32/week)
ENROLL
With Books $429
|
AoPS Holidays
There are no classes September 2‐4, October 31, November 20‐27, and December 21‐January 3, 2024.
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
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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 |