MathIsimple
Unit 2: Pythagorean Theorem & Real Numbers

Pythagorean Theorem & Real Numbers

Discover the power of the Pythagorean theorem, explore the fascinating world of real numbers, and master the relationship between geometry and algebra.

Unit Overview

Journey through ancient mathematical wisdom and modern number theory

Pythagorean Theorem

Master the fundamental relationship in right triangles: a² + b² = c²

Real Applications

Apply geometric principles to solve practical problems in construction and surveying

Real Numbers

Explore the complete number system including rational and irrational numbers

Square Roots

Master square root calculations and approximation techniques

Learning Objectives

What you'll master by the end of this unit

Theorem Mastery

  • • Understand the Pythagorean theorem proof
  • • Apply the theorem to find missing sides
  • • Recognize right triangles in real contexts

Problem Solving

  • • Solve distance and height problems
  • • Apply geometric principles to construction
  • • Use the theorem in surveying scenarios

Number Theory

  • • Classify rational and irrational numbers
  • • Calculate and approximate square roots
  • • Represent numbers on the number line

Ready to Begin?

Start with the Pythagorean theorem derivation and build your understanding step by step.