Outline
GeoGebra 3D with AR (iOS): Explorations & Lesson Ideas
- Author:
- Tim Brzezinski
This book contains an introduction, lesson ideas, and various means through which math teachers can use GeoGebra 3D Calculator with Augmented Reality (iOS) to create dynamic, student-centered, exploratory learning environments. This volume will continue to grow over time.
Table of Contents
Getting Started
Quick Demos & Illustrations
AR Modeling Challenges
Solar System Demos
Algebra & Geometry
- Surface Area: Intuitive Introduction
- Volume: Intuitive Introduction
- Surface of Revolution: 3D Augmented Reality Template
- Diagonal Hint for a Rectangular Prism
- Build Your Own Right Triangular Prism (V2)!
- Unwrapping a Cylinder: REVAMPED!
- Cone Anatomy
- Square Pyramid: Underlying Anatomy
- Sphere as a LOCUS: Quick Exploration and Prompt
- Sphere + Plane = ?
- Cube: Exploration Template
- Tetrahedron: Exploration Template
- Octahedron: Exploration Template
- Dodecahedron: Exploration Template
- Icosahedron: Exploration Template
- Toblerone Warm Up Modeling Question for Algebra, Geometry, AND Calculus!
- Exploring Cross Section and Surface of Revolution Intuitively
- 3D Abe: Silhouette = Surface of REV Cross Section
Precalculus
Calculus
- Surface of Revolution: 3D Augmented Reality Template
- Disc Method: REVAMPED!
- Disc Action!!!
- Washer Method: REVAMPED!
- Cylindrical Shells: REVAMPED!
- Calculus: Surface of Revolution formed by Rotating Area Between 2 Functions
- Modifiable Solid: Isosceles Right Triangle Cross Sections Parallel to yAxis (VA)
- Modifiable Solid: Isosceles Right Triangle Cross Sections Parallel to yAxis (VB)
- Modifiable Solid: Equilateral Triangle Cross Sections Parallel to yAxis
- Toblerone Warm Up Modeling Question for Algebra, Geometry, AND Calculus!
- Modifiable Solid: Isosceles Triangle (Modifiable) Cross Sections Parallel to yAxis
- Modifiable Solid: Square Cross Sections Parallel to yAxis
- Custom Solid: Changeable Rhombus Cross Section Parallel to yAxis
- Modifiable Solid: Regular Pentagon Cross Sections Parallel to yAxis
- Modifiable Solid: Regular Hexagon Cross Sections Parallel to yAxis
- Modifiable Solid: Regular Heptagon Cross Sections Parallel to yAxis
- Modifiable Solid: Regular Octagonal Cross Sections Parallel to yAxis
- Modifiable Solid: Regular Nonagon Cross Sections Parallel to yAxis
- Modifiable Solid: Regular Decagon Cross Sections Parallel to yAxis
- Modifiable Solid: Semicircular Cross Sections Parallel to yAxis
- Custom Solid: Elliptical Cross Sections Parallel to yAxis
- Solids with Various Cross Sections: AR Templates
- Arc Length to Surface of Revolution: Calculus
- Partial Derivatives: Graphical Illustrator
- Plotting Points in 3D: AR Template
- Cylindrical Coordinates: Dynamic Illustrator
- Spherical Coordinates: Dynamic Illustrator
- Circular Paraboloid of Revolution: 3D Augmented Reality Template
- Special Hyperboloid of 1 Sheet as a Locus
- Special Hyperboloid of 2 Sheets as a Locus
- Ellipsoid: Quick Exploration Template
- Special Spheroid Action: Locus Illustration
- 3 Tori Morphing
- Surface of Rev with Helical Cross Section
Miscellaneous