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

Thursday
Aug 22 - Nov 7
7:30 - 9:00
PM ET
Aug 22 - Nov 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
CLOSED
Sunday
Sep 8 - Nov 24
7:30 - 9:00
PM ET
Sep 8 - Nov 24
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
CLOSED
Tuesday
Sep 24 - Dec 17
7:30 - 9:00
PM ET
Sep 24 - Dec 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
$325
$370 w/books
$325
With Books $370
CLOSED
Monday
Oct 14 - Jan 20
7:30 - 9:00
PM ET
Oct 14 - Jan 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
CLOSED
Wednesday
Dec 4 - Mar 4
7:30 - 9:00
PM ET
Dec 4 - Mar 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
WAITLIST
Friday
Dec 6 - Mar 6
7:30 - 9:00
PM ET
Dec 6 - Mar 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
4 spots left
Monday
Jan 13 - Mar 30
7:30 - 9:00
PM ET
Jan 13 - Mar 30
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
Jan 29 - Apr 15
7:30 - 9:00
PM ET
Jan 29 - Apr 15
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
Tuesday
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
$340
$385 w/books
$340
With Books $385
ENROLL
Thursday
Mar 5 - May 21
7:30 - 9:00
PM ET
Mar 5 - May 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
$340
$385 w/books
$340
With Books $385
ENROLL
Sunday
Mar 22 - Jun 14
7:30 - 9:00
PM ET
Mar 22 - Jun 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
Friday
Apr 24 - Jul 17
7:30 - 9:00
PM ET
Apr 24 - Jul 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
Summer 2020This course will be offered in Summer 2020. Click here to join our mailing list to be notified when the course schedule is available.

AoPS Holidays

There are no classes December 21–January 3, May 23–25, July 3–5, and September 5–7.

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.

The course really taught me how to think in a problem-solving fashion, and applying previous knowledge to new concepts and proofs. I learned a lot about how to prove things and how to explain them in a logical manner. I think it was a great course to begin studies in discrete mathematics.

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