개요
GeoGebra 3D & AR: PreCalc & Calculus Resources
This book contains Precalculus & Calculus (Calculus 1, 2, 3, AP Calculus AB & BC) resources students can readily explore within GeoGebra 3D Calculator. Directions to explore any resource within Augmented Reality (within GeoGebra 3D Calculator app installed on any iOS or Android device) can be found at the bottom of each resource page.
This volume is a work-in-progress and will continue to grow over time.
Wishing you and your students much success in your exploratory journey of learning mathematics!
-Tim B
목차
Quick Intro
Precalculus
- Exploring Ordered Triples
- Conic Sections: Introduction
- Parabola: Cause and Effect
- Baby-Step Modeling in 3D GC with AR: Part 1
- Baby Step Modeling in 3D GC with AR: Part 2
- Sphere Investigation
- Varignon 3D Action: REVAMPED!
- How to Create a 3D Surface of Revolution by Rotating ANY 2D Figure about ANY LINE
- Spinning a Piecewise Function About xAxis: Quick Demo
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