Introduction to Counting & Probability

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

This course is University of California a-g approved. Click here for more details.

12 weeks

Diagnostics

ARE YOU READY? DO YOU NEED THIS?

Documents

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

Schedule

Monday
Jan 30 - Apr 17
7:30 - 9:00
PM ET
Jan 30 - Apr 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
$295
$337 w/books
$295
With Books $337
Wednesday
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
$295
$337 w/books
$295
With Books $337
Thursday
Feb 16 - May 4
7:30 - 9:00
PM ET
Feb 16 - May 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
$295
$337 w/books
$295
With Books $337
Friday
Mar 3 - May 19
7:30 - 9:00
PM ET
Mar 3 - May 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
$295
$337 w/books
$295
With Books $337
Tuesday
Mar 21 - Jun 6
7:30 - 9:00
PM ET
Mar 21 - Jun 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
$295
$337 w/books
$295
With Books $337
Wednesday
May 24 - Aug 9
7:30 - 9:00
PM ET
May 24 - Aug 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
$295
$337 w/books
$295
With Books $337
ENROLL
Tuesday
May 30 - Aug 22
7:30 - 9:00
PM ET
May 30 - Aug 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
$295
$337 w/books
$295
With Books $337
ENROLL
Monday
Jun 5 - Aug 21
7:30 - 9:00
PM ET
Jun 5 - Aug 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
$295
$337 w/books
$295
With Books $337
ENROLL
Friday
Jun 23 - Sep 8
7:30 - 9:00
PM ET
Jun 23 - Sep 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
$295
$337 w/books
$295
With Books $337
ENROLL
Thursday
Jun 29 - Sep 14
7:30 - 9:00
PM ET
Jun 29 - Sep 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
$295
$337 w/books
$295
With Books $337
ENROLL
Wednesday
Aug 2 - Oct 18
7:30 - 9:00
PM ET
Aug 2 - Oct 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
TBA $295
$337 w/books
$295
With Books $337
ENROLL
Tuesday
Aug 29 - Nov 14
7:30 - 9:00
PM ET
Aug 29 - Nov 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
$295
$337 w/books
$295
With Books $337
ENROLL
Monday
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
TBA $295
$337 w/books
$295
With Books $337
ENROLL
Friday
Oct 20 - Jan 26
7:30 - 9:00
PM ET
Oct 20 - Jan 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
TBA $295
$337 w/books
$295
With Books $337
ENROLL
Tuesday
Nov 28 - Feb 27
7:30 - 9:00
PM ET
Nov 28 - Feb 27
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 $295
$337 w/books
$295
With Books $337
ENROLL

AoPS Holidays

There are no classes May 29, July 4, September 4, November 18 - 26, and 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

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.

This class was lots of fun, yet at the same time very instructive. It transformed my whole thinking process about counting and probability and made me a much stronger math student. Thanks again AoPS for another fun class!

ACS WASC
ACCREDITED
SCHOOL

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