Introduction to Counting & Probability Online Math Course

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?  

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
$325
$370 w/books
$325
With Books $370
FULL
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
$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
$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
$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
$325
$370 w/books
$325
With Books $370
ENROLL
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
$325
$370 w/books
$325
With Books $370
ENROLL
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
$325
$370 w/books
$325
With Books $370
ENROLL
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
$325
$370 w/books
$325
With Books $370
ENROLL
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
$325
$370 w/books
$325
With Books $370
ENROLL
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
$325
$370 w/books
$325
With Books $370
ENROLL
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
$325
$370 w/books
$325
With Books $370
ENROLL
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
$325
$370 w/books
$325
With Books $370
ENROLL
Fall 2019This 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
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.

I had so much fun in this class! It was BY FAR my favorite class this semester! I think it was very informative and really interesting and I would highly (very, very, very highly) recommend this class to anybody with no hesitation!

Invalid username
Sign In