MathIsimple
Unit 3: Similarity & Trigonometry

Master Advanced Similarity & Trigonometry

Explore advanced similar triangle criteria, master trigonometric functions, and learn to apply these concepts together to solve complex geometric problems. Develop the analytical skills needed for advanced mathematics and real-world applications.

Unit Overview

Core Concepts

  • Advanced similar triangle criteria (HL similarity)
  • Trigonometric function definitions and identities
  • Special angle trigonometric values
  • Combined similarity and trigonometry applications

Learning Outcomes

  • Apply advanced similarity criteria to complex problems
  • Master trigonometric functions and their properties
  • Solve right triangles using trigonometry
  • Combine similarity and trigonometry for real-world problems

Key Skills Developed

Geometric Analysis

  • • Advanced similarity criteria application
  • • Auxiliary line construction techniques
  • • Complex geometric problem solving
  • • Proportional reasoning and scaling

Trigonometric Mastery

  • • Trigonometric function definitions and properties
  • • Special angle value calculations
  • • Right triangle solving techniques
  • • Identity verification and application

Real-World Applications

Architecture & Engineering

Building design, structural analysis, and measurement applications

Surveying & Navigation

Distance measurement, elevation calculations, and GPS applications

Physics & Astronomy

Wave analysis, celestial mechanics, and motion calculations