*Geometry and Number:*

*An Introduction from the Ancient World*

*Math for the
Fifth Year*

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### Contents

Math Goals in the Fifth Year

Materials Needed

Lesson 1: An Introduction

Freehand Renderings and Constructions
with a Straight edge

Shading from the Periphery

Shading from the Center

Intersections and Outlines

Lesson 2: The Nature of
Straight Lines

Lesson 3: Points and Rays

Lesson 4: Euclid; Discovering
Triangles

Lesson 5: Earth Measure--the 3,4,5
Triangle

Lesson 6: Angles and Degrees

Lessons 7, 8, and 9 Triangle
Designs; Interior Angles

Lessons 10, 11, and 12: Triangles,
Circles and Earth Measure

Thales, Hipparchus, and Eratosthenes

Lesson 13: Discovering Quadrilaterals

Lessons 14 and 15: Designs
with Squares and Rectangles

Lesson 16: The Parallelogram

Lesson 17: The Pentagon
and Hexagon

Lesson 18: Straight Lines Create
Curved Lines

Lessons 19 and 20: Circles and
Ellipses, Mysterious Pi

Lesson 21: Prime Numbers The
Sieve of Eratosthenes

Lesson 22 and 23: Pythagoras
and the Nature of Number

Lesson 24: Babylonian and Egyptian
Numbers

Lesson 25: Modern Binary Numbers

Lessons 26 and 27: Averages,
Mean, Median, and Mode

Lesson 28: The Art of Estimation

Lessons 29 and 30: Multiplication
Number Magic

Bibliography