MATHEMATICS (Basic) – Pascal’s Triangle and Binomial Expansion

Pascal’s Triangle and Binomial Expansion

Learning Time: 5-15 hours

Content: Pascal’s triangle and binomial expansion is a subject that examines the visualization of combinations and generalized forms of binomials. The 2025 curriculum includes Pascal’s triangle, binomial coefficients, and Newton’s binomial formula. The TYT focuses on basic structures, while the AYT focuses on advanced analysis.

• Basic Concepts:
  • The Structure of Pascal’s Triangle
  • Binomial Coefficients (C(n, r))
  • Simple Binomial Expansion
• Solution Techniques:
  • Triangle Properties
  • Binomial Theorem ((a + b)ⁿ)
  • Practical Computing
• Advanced Calculus (ADC):
  • Higher Order Binomials
  • Combinational Relations
  • Application Problems
• Applications:
  • Probability Calculations
  • Examples from Daily Life
  • Mathematical Models
• Affecting Factors:
  • Exponent Value
  • Number of Coefficients
  • Binomial Type