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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
|
$325
CLOSED
With Books $370
|
|
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
WAITLIST
With Books $370
|
|
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
ENROLL
With Books $370
|
|
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
ENROLL
With Books $370
|
|
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
ENROLL
With Books $370
|
|
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
|
| Spring 2020 | This course will be offered in Spring 2020. Click here to join our mailing list to be notified when the course schedule is available. | |||
AoPS Holidays
There are no classes November 25–December 1, or 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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