Counting and Probability

Course Description


One-semester course (Spring). This class is ideal for students who have mastered the basics of Algebra and want to explore creative problem solving. The class will strengthen the student’s ability to wrestle with tough problems and explain answers in words. Topics include but are not limited to: permutations, combinations, Pascal’s Triangle, basic combinatorial identities, expected value, fundamentals of probability, geometric probability, the Binomial Theorem, and more.

Prerequisites: Successful completion of WTMA Algebra 1, AoPS Algebra A or a similar rigorous introductory algebra course. Students should complete the following readiness test to determine whether they should take the class. Students should complete the readiness test without a calculator and without help. 
In addition, students should be comfortable using a keyboard to input work.

Example Syllabus (Download the PDF)

Required Text:

  • Patrick, David; Introduction to Counting and Probability. Alpine, CA: Art of Problem Solving Incorporated, 2012. ISBN 9781934124109

Recommended Text:

  • Patrick, David; Introduction to Counting and Probability: Solutions Manual. Alpine, CA: Art of Problem Solving Incorporated, 2012. ISBN 9781934124116

Class meets once per week for 50-55 minutes.

Class cap: 15 students.

Designed for grades 9-12.

Students in grades 9-12 may be awarded .5 Mathematics or Elective credit upon completion of this course.