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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? |
Schedule
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Thursday
Aug 22 - Nov 7 |
7:30 - 9:00
PM ET
Aug 22 - Nov 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 |
Samer Seraj |
$325
$370 w/books
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$325
CLOSED
With Books $370
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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 |
sarah-marie belcastro |
$325
$370 w/books
|
$325
CLOSED
With Books $370
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Tuesday
Sep 24 - Dec 17 |
7:30 - 9:00
PM ET
Sep 24 - Dec 17
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 |
Marcus Neal |
$325
$370 w/books
|
$325
CLOSED
With Books $370
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Monday
Oct 14 - Jan 20 |
7:30 - 9:00
PM ET
Oct 14 - Jan 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 |
Kaitlin Maile |
$325
$370 w/books
|
$325
CLOSED
With Books $370
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Wednesday
Dec 4 - Mar 4 |
7:30 - 9:00
PM ET
Dec 4 - Mar 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 |
Heather Finotti |
$325
$370 w/books
|
$325
WAITLIST
With Books $370
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Friday
Dec 6 - Mar 6 |
7:30 - 9:00
PM ET
Dec 6 - 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 |
Jeffrey Hankins |
$325
$370 w/books
|
$325
ENROLL
With Books $370
4 spots left |
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Monday
Jan 13 - Mar 30 |
7:30 - 9:00
PM ET
Jan 13 - Mar 30
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 Renato Gallegos Ruiz |
$340
$385 w/books
|
$340
ENROLL
With Books $385
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Wednesday
Jan 29 - Apr 15 |
7:30 - 9:00
PM ET
Jan 29 - Apr 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 |
sarah-marie belcastro |
$340
$385 w/books
|
$340
ENROLL
With Books $385
|
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Tuesday
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 |
Ian Osborn |
$340
$385 w/books
|
$340
ENROLL
With Books $385
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Thursday
Mar 5 - May 21 |
7:30 - 9:00
PM ET
Mar 5 - May 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 |
Carl Yerger |
$340
$385 w/books
|
$340
ENROLL
With Books $385
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Sunday
Mar 22 - Jun 14 |
7:30 - 9:00
PM ET
Mar 22 - Jun 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 |
Christian Hokaj |
$340
$385 w/books
|
$340
ENROLL
With Books $385
|
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Friday
Apr 24 - Jul 17 |
7:30 - 9:00
PM ET
Apr 24 - Jul 17
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 |
$340
$385 w/books
|
$340
ENROLL
With Books $385
|
| Summer 2020 | This course will be offered in Summer 2020. Click here to join our mailing list to be notified when the course schedule is available. | |||
AoPS Holidays
There are no classes December 21–January 3, May 23–25, July 3–5, and September 5–7.
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 | 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.
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