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

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
CLOSED
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
CLOSED
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
CLOSED
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
CLOSED
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
WAITLIST
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
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
ENROLL
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
ENROLL
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
ENROLL
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
ENROLL
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
ENROLL
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

AoPS Holidays

There are no classes July 4, September 1–2, November 25–December 1, or 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 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.

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