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Pythagoras & the Pythagorean Theorem

Pythagoras & the Pythagorean Theorem preview
Pythagoras & the Pythagorean Theorem preview
Pythagoras & the Pythagorean Theorem preview 2

Look Inside · 9 pages · answer key included

Cover of Pythagoras & the Pythagorean Theorem, showing squares on a triangle and the formula a² + b² = c²
Cover of the nine-page math e-book
Introduction to Pythagoras: his life, the Pythagorean School, and applications of his theorem in math
Opening lesson on Pythagoras and his influence
Lesson on right triangles defines legs and hypotenuse, introduces a² + b² = c², and begins the proof section
Triangle vocabulary and the theorem statement
Proof lesson uses four triangles in a square to derive a² + b² = c², then introduces coordinate geometry
Geometric proof and coordinate setup
Lesson finishes the coordinate calculation and models finding a 5 cm hypotenuse and a 12 cm missing leg
Proof continuation and two solved examples
Real-life applications lesson calculates ramp length, walking distance, and a game character's diagonal movement
Applications in construction, navigation, and games
Four worked practice examples find two hypotenuses and a missing leg, and check a 5–12–13 right triangle
Four solved examples before the worksheet
Practice worksheet has 12 questions on hypotenuses, missing legs, right-triangle checks, and a ladder problem
Independent practice worksheet with 12 questions

Answer key included

Answer key included

About This Product

The mysteries surrounding the ancient Greek philosopher Pythagoras and his impact on mathematics and philosophy are still very much alive today. Similar to philosophy and religion, mathematics has a profound effect on our lives and has the power to alter our perception of the universe.

Both Plato and Aristotle were impacted by Pythagoras' philosophy, and his concepts became central to Western philosophy as a result. For 2,500 years, the Pythagorean school was essential to the development of the human mind and to the advancement of intellectual ideas.

The Greek philosopher integrated philosophy, mathematics, and religion throughout his lifetime 2,500 years ago, and his thoughts and contributions continue to have an impact today. The Pythagorean theorem is still taught in schools all around the world and is considered basic to mathematics.

For younger pupils, this useful e-book includes an overview of Pythagoras and a critique of his theorem. Additionally, it has practice exercises and their solutions at the conclusion.

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