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Introduction to Counting & Probability

Fundamentals of counting and probability, including casework, multiplication, permutations, combinations, Pascal's triangle, probability, combinatorial identities, and the Binomial Theorem.

12 weeks

Diagnostics

ARE YOU READY? DO YOU NEED THIS?

Documents

SYLLABUS
12 weeks ARE YOU READY? DO YOU NEED THIS? SYLLABUS  

Schedule

Tuesday
Oct 10 - Jan 23
4:30 - 6:00
PM ET  
Oct 10 - Jan 23
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
$390 (~$33/week)
$439 w/books
$390 (~$33/week)
With Books $439
CLOSED
Sunday
Oct 29 - Feb 4
7:30 - 9:00
PM ET
Oct 29 - Feb 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
$390 (~$33/week)
$439 w/books
$390 (~$33/week)
With Books $439
CLOSED
Sunday
Oct 29 - Feb 4
7:30 - 9:00
PM ET
Oct 29 - Feb 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
$390 (~$33/week)
$439 w/books
$390 (~$33/week)
With Books $439
CLOSED
Wednesday
Dec 13 - Mar 13
7:30 - 9:00
PM ET
Dec 13 - 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
$390 (~$33/week)
$439 w/books
$390 (~$33/week)
With Books $439
ENROLL
Monday
Jan 8 - Mar 25
7:30 - 9:00
PM ET
Jan 8 - Mar 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
$390 (~$33/week)
$439 w/books
$390 (~$33/week)
With Books $439
ENROLL
Thursday
Jan 25 - Apr 11
7:30 - 9:00
PM ET
Jan 25 - Apr 11
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
$390 (~$33/week)
$439 w/books
$390 (~$33/week)
With Books $439
ENROLL
Sunday
Feb 11 - Apr 28
7:30 - 9:00
PM ET
Feb 11 - Apr 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
$390 (~$33/week)
$439 w/books
$390 (~$33/week)
With Books $439
ENROLL
Wednesday
Mar 6 - May 22
7:30 - 9:00
PM ET
Mar 6 - May 22
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
$390 (~$33/week)
$439 w/books
$390 (~$33/week)
With Books $439
ENROLL
Friday
Mar 22 - Jun 7
7:30 - 9:00
PM ET
Mar 22 - Jun 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
$390 (~$33/week)
$439 w/books
$390 (~$33/week)
With Books $439
ENROLL
Saturday
Mar 23 - Jun 15
1:00 - 2:30
PM ET  
Mar 23 - Jun 15
1:00 - 2:30 PM Eastern
12:00 - 1:30 PM Central
11:00 - 12:30 PM Mountain
10:00 - 11:30 AM Pacific
Click here to see more time zones
$390 (~$33/week)
$439 w/books
$390 (~$33/week)
With Books $439
ENROLL
Monday
Apr 8 - Jul 1
7:30 - 9:00
PM ET
Apr 8 - Jul 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
$390 (~$33/week)
$439 w/books
$390 (~$33/week)
With Books $439
ENROLL
Tuesday
Apr 23 - Jul 9
7:30 - 9:00
PM ET
Apr 23 - Jul 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
$390 (~$33/week)
$439 w/books
$390 (~$33/week)
With Books $439
ENROLL

AoPS Holidays

There are no classes December 21 ‐ January 3, May 25 ‐ May 27, and July 4.

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 Distributions and The Hockey Stick Identity
Lesson 11 The Binomial Theorem
Lesson 12 Challenging Problems Day 2

Required Textbook

Introduction to Counting & Probability
By David Patrick
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.
Related course: Introduction to Counting and Probability

I liked this class. The concepts seemed interesting and new and much better than what I would learn in school. I learned a lot about combinations and how they work. I really enjoyed this class.