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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
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Monday
Jun 29 - Sep 21 |
7:30 - 9:00
PM ET
Jun 29 - Sep 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 |
Xinke Guo-Xue |
$340
$385 w/books
|
$340
CLOSED
With Books $385
|
|
Sunday
Jul 12 - Oct 4 |
7:30 - 9:00
PM ET
Jul 12 - Oct 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 |
Achilleas Sinefakopoulos |
$340
$385 w/books
|
$340
FULL
With Books $385
|
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Wednesday
Aug 12 - Oct 28 |
7:30 - 9:00
PM ET
Aug 12 - Oct 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 |
Alyssa Zisk |
$340
$385 w/books
|
$340
ENROLL
With Books $385
|
|
Monday
Aug 24 - Nov 16 |
7:30 - 9:00
PM ET
Aug 24 - Nov 16
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
|
|
Thursday
Sep 3 - Nov 19 |
7:30 - 9:00
PM ET
Sep 3 - Nov 19
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 Finotti |
$340
$385 w/books
|
$340
ENROLL
With Books $385
|
|
Friday
Sep 4 - Nov 20 |
7:30 - 9:00
PM ET
Sep 4 - Nov 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 |
Brian Edwards |
$340
$385 w/books
|
$340
ENROLL
With Books $385
|
|
Tuesday
Sep 15 - Dec 8 |
7:30 - 9:00
PM ET
Sep 15 - Dec 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 |
Jerry Leung |
$340
$385 w/books
|
$340
ENROLL
With Books $385
|
|
Monday
Oct 19 - Jan 25 |
7:30 - 9:00
PM ET
Oct 19 - Jan 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 |
James Sheldon |
$340
$385 w/books
|
$340
ENROLL
With Books $385
|
|
Wednesday
Nov 11 - Feb 17 |
7:30 - 9:00
PM ET
Nov 11 - Feb 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 |
James Sheldon |
$340
$385 w/books
|
$340
ENROLL
With Books $385
|
|
Thursday
Dec 10 - Mar 11 |
7:30 - 9:00
PM ET
Dec 10 - Mar 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 |
Carl Yerger |
$340
$385 w/books
|
$340
ENROLL
With Books $385
|
|
Sunday
Dec 13 - Mar 14 |
7:30 - 9:00
PM ET
Dec 13 - Mar 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 |
sarah-marie belcastro |
$340
$385 w/books
|
$340
ENROLL
With Books $385
|
| Spring 2021 | This course will be offered in Spring 2021. Click here to join our mailing list to be notified when the course schedule is available. | |||
AoPS Holidays
There are no classes September 5–7, November 23–29, and December 21–January 3.
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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