Description: This course covers basic counting concepts including Venn Diagrams, the Fundamental Counting Principle, permutations, combinations, casework, constructive counting, complementary counting, counting with restrictions, and Pascal’s triangle.

  • Week 1 – Basic Counting Techniques, Arithmetic Series and Sequences
  • Week 2 – Venn Diagrams and Casework
  • Week 3 – Fundamental Counting Principle
  • Week 4 – Permutations
  • Week 5 – Complementary Counting
  • Week 6 – Correcting for Overcounting
  • Week 7 – Combinations
  • Week 8 – More with Combinations
  • Week 9 – Combinatorial Patterns in Pascal’s Triangle
  • Week 10 – Mixed Review

Homework: Math is not a spectator sport. Practice is essential, hence twenty to thirty minutes of homework three times a week and a desire to improve will be the key to getting the most out of this course.

Prerequisites: Students should be advanced in mathematical reasoning beyond grade level and must be fluent with basic pre-algebra skills such as fractions, decimals, percents, and ratios. Algebra is not a prerequisite, but students should have some experience solving basic linear equations and working with square roots and exponents.

Intro to Counting PreTest: Students should be able to correctly answer 90% of the problems in the pre-test before beginning this class.

Intro to Counting PostTest: Students who can answer most or all of the questions on this post-test will likely find this course mostly review.

Instructor: Jolene Gleason