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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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Tuesday
Jan 5 - Mar 23 |
7:30 - 9:00
PM ET
Jan 5 - Mar 23
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 |
$355
$400 w/books
|
$355
CLOSED
With Books $400
|
|
Friday
Jan 15 - Apr 2 |
7:30 - 9:00
PM ET
Jan 15 - Apr 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 |
Luís Finotti |
$355
$400 w/books
|
$355
WAITLIST
With Books $400
|
|
Sunday
Jan 31 - Apr 18 |
7:30 - 9:00
PM ET
Jan 31 - Apr 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 |
Emily Castner |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
|
Monday
Feb 8 - Apr 26 |
7:30 - 9:00
PM ET
Feb 8 - Apr 26
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
|
|
Thursday
Feb 11 - Apr 29 |
7:30 - 9:00
PM ET
Feb 11 - Apr 29
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 |
Chuck Garner |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
|
Friday
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 |
Ekaterina Machavariani |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
|
Wednesday
Mar 17 - Jun 2 |
7:30 - 9:00
PM ET
Mar 17 - Jun 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 |
Joshua Zucker |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
|
Sunday
Mar 21 - Jun 13 |
7:30 - 9:00
PM ET
Mar 21 - Jun 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 |
Jason Gorgia |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
|
Monday
Apr 19 - Jul 19 |
7:30 - 9:00
PM ET
Apr 19 - Jul 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 |
Carl Yerger |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
|
Friday
Apr 30 - Jul 16 |
7:30 - 9:00
PM ET
Apr 30 - Jul 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 |
Dan Kneezel |
$355
$400 w/books
|
$355
ENROLL
With Books $400
|
| Summer 2021 | This course will be offered in Summer 2021. Click here to join our mailing list to be notified when the course schedule is available. | |||
AoPS Holidays
There are no classes May 29–31, July 3–5, and September 4–6.
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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