Objectives
By exploring Pascal’s triangle in greater depth, students are more likely to remember this amazing triangle. The numeric and algebraic applications will help improve students ‘by-hand’ algebraic skills beyond basic simplification.
Vocabulary
- Pascal
- Combinatorics
- Binomial Expansion
- Triangular Numbers
- Tetrahedral Numbers
- Fibonacci
- Euler
- Summation (Sigma Notation)
- Product (Pi Notation)
About the Lesson
Watch Activity Tutorial
Students make use of visual representations to help understand the basic construction of Pascal’s triangle and are then introduced to a plethora of other patterns within this amazing triangle. Students use an array of numeric and algebraic techniques to verify the patterns.