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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
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Wednesday
Jul 13 - Sep 28 |
7:30 - 9:00 PM ET
Jul 13 - Sep 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 |
Ekaterina Machavariani |
$370
(~$31/week)
$419 w/books
|
$370
(~$31/week)
CLOSED
With Books $419
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Friday
Jul 29 - Oct 14 |
7:30 - 9:00 PM ET
Jul 29 - Oct 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 |
Homero Gallegos |
$370
(~$31/week)
$419 w/books
|
$370
(~$31/week)
CLOSED
With Books $419
|
|
Sunday
Aug 21 - Nov 13 |
7:30 - 9:00 PM ET
Aug 21 - Nov 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 |
sarah-marie belcastro |
$370
(~$31/week)
$419 w/books
|
$370
(~$31/week)
ENROLL
With Books $419
|
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Tuesday
Aug 30 - Nov 15 |
7:30 - 9:00 PM ET
Aug 30 - Nov 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 |
Wendy Hou |
$370
(~$31/week)
$419 w/books
|
$370
(~$31/week)
ENROLL
With Books $419
|
|
Friday
Sep 16 - Dec 9 |
7:30 - 9:00 PM ET
Sep 16 - Dec 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 |
Luís Finotti |
$370
(~$31/week)
$419 w/books
|
$370
(~$31/week)
ENROLL
With Books $419
|
|
Sunday
Sep 25 - Dec 18 |
7:30 - 9:00 PM ET
Sep 25 - Dec 18
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 |
Carlos Bovell |
$370
(~$31/week)
$419 w/books
|
$370
(~$31/week)
ENROLL
With Books $419
|
|
Friday
Oct 7 - Jan 13 |
4:30 - 6:00 PM ET –
Oct 7 - Jan 13
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 |
$370
(~$31/week)
$419 w/books
|
$370
(~$31/week)
ENROLL
With Books $419
|
|
Monday
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 |
Jeffrey Hankins |
$370
(~$31/week)
$419 w/books
|
$370
(~$31/week)
ENROLL
With Books $419
|
|
Tuesday
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 |
Achilleas Sinefakopoulos |
$370
(~$31/week)
$419 w/books
|
$370
(~$31/week)
ENROLL
With Books $419
|
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Wednesday
Nov 30 - Mar 1 |
7:30 - 9:00 PM ET
Nov 30 - Mar 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 |
Sindi Sabourin |
$370
(~$31/week)
$419 w/books
|
$370
(~$31/week)
ENROLL
With Books $419
|
|
Friday
Dec 9 - Mar 10 |
7:30 - 9:00 PM ET
Dec 9 - Mar 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 |
TBA |
$370
(~$31/week)
$419 w/books
|
$370
(~$31/week)
ENROLL
With Books $419
|
AoPS Holidays
There are no classes September 3‐5, October 31, November 21‐27, December 21‐January 3, and May 27‐29.
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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