Need Help?
Need help finding the right class? Have a question about how classes work?
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
|
Tuesday
Jun 22 - Sep 7 |
7:30 - 9:00
PM ET
Jun 22 - Sep 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 |
Kim Gibson |
$355
$400 w/books
|
$355
CLOSED
With Books $400
|
|
Tuesday
Jun 22 - Sep 7 |
7:30 - 9:00
PM ET
Jun 22 - Sep 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 |
Ben Stone |
$355
$400 w/books
|
$355
FULL
With Books $400
|
|
Thursday
Jul 22 - Oct 7 |
7:30 - 9:00
PM ET
Jul 22 - Oct 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 |
Mitsuo Kobayashi |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
|
Monday
Aug 16 - Nov 8 |
7:30 - 9:00
PM ET
Aug 16 - Nov 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 |
Maria Mendes |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
|
Wednesday
Sep 1 - Nov 17 |
7:30 - 9:00
PM ET
Sep 1 - Nov 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 |
Luis Ares |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
|
Friday
Sep 17 - Dec 10 |
7:30 - 9:00
PM ET
Sep 17 - Dec 10
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 |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
|
Tuesday
Sep 21 - Dec 14 |
4:00 - 5:30
PM ET –
Sep 21 - Dec 14
4:00 - 5:30 PM Eastern 3:00 - 4:30 PM Central 2:00 - 3:30 PM Mountain 1:00 - 2:30 PM Pacific Click here to see more time zones |
Patrick Barringer |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
|
Sunday
Oct 17 - Jan 30 |
7:30 - 9:00
PM ET
Oct 17 - Jan 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 |
Ben Stone |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
|
Thursday
Oct 21 - Jan 27 |
7:30 - 9:00
PM ET
Oct 21 - Jan 27
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 |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
|
Monday
Nov 8 - Feb 14 |
7:30 - 9:00
PM ET
Nov 8 - Feb 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 |
Ashley Ahlin |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
|
Wednesday
Dec 1 - Mar 2 |
7:30 - 9:00
PM ET
Dec 1 - Mar 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 |
TBA |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
|
Sunday
Dec 12 - Mar 13 |
7:30 - 9:00
PM ET
Dec 12 - 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 |
TBA |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
AoPS Holidays
There are no classes September 4–6, October 31, November 22–28, and December 20–January 2.
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
|
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.
|
