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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
|
Friday
Jan 18 - Apr 5 |
7:30 - 9:00
PM ET
Jan 18 - Apr 5
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 |
Christian Hokaj |
$325
$370 w/books
|
$325
FULL
With Books $370
|
|
Thursday
Feb 7 - Apr 25 |
7:30 - 9:00
PM ET
Feb 7 - Apr 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 |
sarah-marie belcastro |
$325
$370 w/books
|
$325
With Books $370
|
|
Wednesday
Feb 20 - May 8 |
7:30 - 9:00
PM ET
Feb 20 - May 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 |
Jeffrey Hankins |
$325
$370 w/books
|
$325
With Books $370
|
|
Monday
Mar 4 - May 20 |
7:30 - 9:00
PM ET
Mar 4 - May 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 |
Eric Wofsey |
$325
$370 w/books
|
$325
With Books $370
|
|
Tuesday
Mar 19 - Jun 4 |
7:30 - 9:00
PM ET
Mar 19 - Jun 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 |
Dan Kneezel |
$325
$370 w/books
|
$325
ENROLL
With Books $370
|
|
Thursday
Apr 25 - Jul 18 |
7:30 - 9:00
PM ET
Apr 25 - Jul 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 |
Kris Siy |
$325
$370 w/books
|
$325
ENROLL
With Books $370
|
|
Tuesday
May 21 - Aug 6 |
7:30 - 9:00
PM ET
May 21 - Aug 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 |
TBA |
$325
$370 w/books
|
$325
ENROLL
With Books $370
|
|
Wednesday
May 22 - Aug 7 |
7:30 - 9:00
PM ET
May 22 - Aug 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 |
TBA |
$325
$370 w/books
|
$325
ENROLL
With Books $370
|
|
Monday
Jun 3 - Aug 19 |
7:30 - 9:00
PM ET
Jun 3 - Aug 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 |
TBA |
$325
$370 w/books
|
$325
ENROLL
With Books $370
|
|
Thursday
Jun 6 - Aug 29 |
7:30 - 9:00
PM ET
Jun 6 - Aug 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 |
TBA |
$325
$370 w/books
|
$325
ENROLL
With Books $370
|
|
Friday
Jun 21 - Sep 6 |
7:30 - 9:00
PM ET
Jun 21 - Sep 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 |
TBA |
$325
$370 w/books
|
$325
ENROLL
With Books $370
|
|
Wednesday
Aug 21 - Nov 6 |
7:30 - 9:00
PM ET
Aug 21 - Nov 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 |
TBA |
$325
$370 w/books
|
$325
ENROLL
With Books $370
|
| Fall 2019 | This course will be offered in Fall 2019. Click here to join our mailing list to be notified when the course schedule is available. | |||
AoPS Holidays
There are no classes May 27, July 4, or September 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.
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