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? SYLLABUS  

Schedule

Tuesday
Sep 15 - Dec 8
7:30 - 9:00
PM ET
Sep 15 - Dec 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
$340
$385 w/books
$340
With Books $385
CLOSED
Monday
Oct 19 - Jan 25
7:30 - 9:00
PM ET
Oct 19 - Jan 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
$340
$385 w/books
$340
With Books $385
ENROLL
Monday
Oct 19 - Jan 25
7:30 - 9:00
PM ET
Oct 19 - Jan 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
$340
$385 w/books
$340
With Books $385
ENROLL
Wednesday
Nov 11 - Feb 17
7:30 - 9:00
PM ET
Nov 11 - Feb 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
$340
$385 w/books
$340
With Books $385
ENROLL
Thursday
Dec 10 - Mar 11
7:30 - 9:00
PM ET
Dec 10 - Mar 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
$340
$385 w/books
$340
With Books $385
ENROLL
Sunday
Dec 13 - Mar 14
7:30 - 9:00
PM ET
Dec 13 - Mar 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
$340
$385 w/books
$340
With Books $385
ENROLL
Spring 2021This course will be offered in Spring 2021. Click here to join our mailing list to be notified when the course schedule is available.

AoPS Holidays

There are no classes October 31, November 23–29, 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.

I think this class was amazing. I thought probability would only be like, ‘I have 2 red balls and 2 green balls. What is the probability I pick a green ball?’ It is much more complex, deep, and entertaining. I enjoyed this class very much.

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