Chapter 21.1
Pascal's triangle
What You'll Learn
Construct Pascal's Triangle using the diagonal pattern and addition method
Identify binomial coefficients in each row of Pascal's Triangle
Apply Pascal's Triangle to expand binomial expressions without lengthy algebra
Express Pascal's Triangle entries using combination notation (nCr)
Calculate row sums and recognize the 2^n pattern across rows
What You'll Practice
1
Building Pascal's Triangle rows by adding adjacent numbers
2
Expanding binomials like (a+b)^4 and (a+b)^8 using triangle coefficients
3
Converting triangle entries to combination form (nC0, nC1, etc.)
4
Evaluating sums of combinations without a calculator using 2^n formula
Why This Matters
Pascal's Triangle transforms tedious polynomial expansions into simple pattern recognition. You'll use this tool throughout algebra and pre-calculus to expand binomials quickly, understand probability and combinatorics, and see how mathematical patterns connect across topics.
Before You Start — Make Sure You Can:
This Unit Includes
8 Video lessons
Practice exercises
Skills
Binomial Coefficients
Combinations
Pascal's Triangle
Polynomial Expansion
Pattern Recognition
Exponents
Algebra
OH Curriculum Aligned
