Geometry for Elementary Students

Preface 
Acknowledgments 

UNIT 1 GEOMETRY BASICS AND DEDUCTIVE REASONING 

CHAPTER 1  INTRODUCTION TO GEOMETRY AND DEDUCTIVE REASONING  
SECTION 1 Geometry and Its History 
SECTION 2 Deductive Reasoning 
SECTION 3 Points, Lines, Planes, and Space  
SECTION 4 Measuring Angles  
SECTION 5 Finding Missing Angles with Deductive Reasoning 

CHAPTER 2 TRIANGLES AND DEDUCTIVE REASONING  
SECTION 1 Introduction to Polygons  
SECTION 2  Introduction to Triangles and Finding Angles  in Triangles with Deductive Reasoning – Part 1 
SECTION 3 Finding Angles in Triangles with Deductive Reasoning – Part 2  

CHAPTER 3 QUADRILATERALS, POLYGONS, AND DEDUCTIVE REASONING  
SECTION 1 Introduction to Quadrilaterals 
SECTION 2  Finding Angles in Quadrilaterals with Deductive Reasoning 
SECTION 3 Finding Angles in Polygons with Deductive Reasoning 
SECTION 4  Finding Angle Relationships in Lines with Deductive Reasoning 

UNIT 2 MEASUREMENT IN THE U.S. CUSTOMARY AND METRIC SYSTEMS 

CHAPTER 4  MEASUREMENT AND THE U.S. CUSTOMARY SYSTEM  
SECTION 1 History of Measurement and the U.S. Customary System  
SECTION 2 Measuring Length in the U.S. Customary System 
SECTION 3 Measuring Capacity in the U.S. Customary System  
SECTION 4 Measuring Weight in the U.S. Customary System 
SECTION 5 Conversions in the U.S. Customary System 

CHAPTER 5 MEASUREMENT AND THE METRIC SYSTEM 
SECTION 1 History of the Metric System  
SECTION 2 Measuring Length in the Metric System  
SECTION 3 Measuring Capacity in the Metric System  
SECTION 4 Measuring Weight in the Metric System 
SECTION 5 Measuring Time  
SECTION 6 Conversions in the Metric System 

UNIT 3 AREA AND PERIMETER 

CHAPTER 6 INTRODUCTION TO AREA AND AREA CONVERSIONS 
SECTION 1 Introduction to Area  
SECTION 2 Converting Area Units 

CHAPTER 7 AREA AND PERIMETER OF POLYGONS 
SECTION 1 Area and Perimeter of Rectangles  
SECTION 2 Area of Parallelograms and Triangles  
SECTION 3 Area of Trapezoids and Kites 
SECTION 4 The Pythagorean Theorem  
SECTION 5  Applications of Area and Perimeter of Parallelograms, Triangles, Trapezoids,  and Kites  

CHAPTER 8 AREA AND CIRCUMFERENCE OF CIRCLES  
SECTION 1 Circumference of Circles  
SECTION 2 Area of Circles 

UNIT 4 VOLUME AND SURFACE AREA 

CHAPTER 9 INTRODUCTION TO VOLUME AND VOLUME CONVERSIONS 
SECTION 1 Introduction to Volume  
SECTION 2 Converting Volume Units 

CHAPTER 10 VOLUME AND SURFACE AREA OF 3D FIGURES  
SECTION 1 Volume and Surface Area of Prisms and Cylinders 
SECTION 2 Volume and Surface Area of Pyramids and Cones 
SECTION 3 Volume and Surface Area of Spheres 

CHAPTER 11 INTERSECTION OF 2D AND 3D GEOMETRY 
SECTION 1 2D Nets of 3D Figures  
SECTION 2 2D Slices of 3D Figures 
SECTION 3 Line and Plane Symmetry