-
3d graphics
-
1. Geometry
- Drawings, Constructions, and Drag Test
- Construction vs Drawing
- Pythagoras Theorem for Regular n-gons
- Disection Proof - Pythagoras Theorem
- Corners of Squares
- Pentagrams
- Angle Sum Property by Rotation
- Isosceles Triangles - Examples and Non-Examples
- Midpoint Triangles
- Intro to Area Using Unit Squares
- Dividing a line segment into 4 equal parts
- Exterior Angles of a Regular Polygon
- Consistency of Linear equations in Two Variables
- Perimeter - Area Challenges
-
2. PreCalculus
- Function Matching
- Investigating Trigonometry
- Investigating Trigonometry 2
- Radians, Number line and the Unit Circle
- Sine Curve with Points
- Domain of Functions
- Horizontal Line Test
- Trigonometric Functions and Unit Circle
- Inverse of a Function-Reflection on y = x
- Vertical Line Test
- Histogram with GeoGebra
-
3. Calculus
- Understanding Differentiability
- Derivative as Slope Function
- Increasing and Decreasing Functions-Intervals
- Definite Integral - Upper and Lower Sum
- GeoGebra Calculus Applets
-
4. Linear Programming
- Linear Programming- Problem 2- Minimum Cost
- Linear Programming-Transport Problem
-
5. Vectors & Three Dimensional Geometry
- Definition of vector addition
- Translations along vector
- Vector Sum - Parallelogram Law
- Skew Lines and Line of Shortest Distance
- Three Dimensional Coordinate System with Axes Planes
- Point in 3D Coordinate System
-
6. Conics
- Parabola
- Ellipse
-
7. Maths is Beautiful
- 8 Point Star
- Square Root Spiral
- Golden Spiral
- Caso 5
- Sierpinski Triangle
- Ever Present Equilateral Triangle
- Curve of Pursuit
- Snowflakes with GeoGebra
- Kaleidoscope
-
8. GeoGebra Guides
3d graphics
Sangeeta Gulati, vidishatangri.29, Nov 28, 2015
This workbook has collection of worksheets which will be (re)created and explored during the workshop "Create , Visualize & explore with GeoGebra and Desmos" for secondary and senior secondary mathematics teachers on November 27 & 28, 2015. This workshop will be held at Sanskriit School , New Delhi, India and will be led by Sangeeta Gulati.
Table of Contents
- Geometry
- Drawings, Constructions, and Drag Test
- Construction vs Drawing
- Pythagoras Theorem for Regular n-gons
- Disection Proof - Pythagoras Theorem
- Corners of Squares
- Pentagrams
- Angle Sum Property by Rotation
- Isosceles Triangles - Examples and Non-Examples
- Midpoint Triangles
- Intro to Area Using Unit Squares
- Dividing a line segment into 4 equal parts
- Exterior Angles of a Regular Polygon
- Consistency of Linear equations in Two Variables
- Perimeter - Area Challenges
- PreCalculus
- Function Matching
- Investigating Trigonometry
- Investigating Trigonometry 2
- Radians, Number line and the Unit Circle
- Sine Curve with Points
- Domain of Functions
- Horizontal Line Test
- Trigonometric Functions and Unit Circle
- Inverse of a Function-Reflection on y = x
- Vertical Line Test
- Histogram with GeoGebra
- Calculus
- Understanding Differentiability
- Derivative as Slope Function
- Increasing and Decreasing Functions-Intervals
- Definite Integral - Upper and Lower Sum
- GeoGebra Calculus Applets
- Linear Programming
- Linear Programming- Problem 2- Minimum Cost
- Linear Programming-Transport Problem
- Vectors & Three Dimensional Geometry
- Definition of vector addition
- Translations along vector
- Vector Sum - Parallelogram Law
- Skew Lines and Line of Shortest Distance
- Three Dimensional Coordinate System with Axes Planes
- Point in 3D Coordinate System
- Conics
- Parabola
- Ellipse
- Maths is Beautiful
- 8 Point Star
- Square Root Spiral
- Golden Spiral
- Caso 5
- Sierpinski Triangle
- Ever Present Equilateral Triangle
- Curve of Pursuit
- Snowflakes with GeoGebra
- Kaleidoscope
- GeoGebra Guides
Geometry
Worksheets suitable for middle and secondary school mathematics.
-
1. Drawings, Constructions, and Drag Test
-
2. Construction vs Drawing
-
3. Pythagoras Theorem for Regular n-gons
-
4. Disection Proof - Pythagoras Theorem
-
5. Corners of Squares
-
6. Pentagrams
-
7. Angle Sum Property by Rotation
-
8. Isosceles Triangles - Examples and Non-Examples
-
9. Midpoint Triangles
-
10. Intro to Area Using Unit Squares
-
11. Dividing a line segment into 4 equal parts
-
12. Exterior Angles of a Regular Polygon
-
13. Consistency of Linear equations in Two Variables
-
14. Perimeter - Area Challenges
Drawings, Constructions, and Drag Test
Discussion
PreCalculus
Worksheets to teach and explore Trigonometry , Trigonometric functions, Domain and Range of functions, Graphs of Functions
-
1. Function Matching
-
2. Investigating Trigonometry
-
3. Investigating Trigonometry 2
-
4. Radians, Number line and the Unit Circle
-
5. Sine Curve with Points
-
6. Domain of Functions
-
7. Horizontal Line Test
-
8. Trigonometric Functions and Unit Circle
-
9. Inverse of a Function-Reflection on y = x
-
10. Vertical Line Test
-
11. Histogram with GeoGebra
Function Matching
Understanding Differentiability
|
Drag the point B (x, f(x)) to see how a Secant Becomes a Tangent Use the check boxes to see the slopes of the Secant line and of the Tangent line |
 |
|
This applte shows how a Secant Becomes a Tangent and it shows the slopes of the Secant line and of the Tangent line , thus establishing a correspondence between differentiability geometrically and algebraically. |
Linear Programming- Problem 2- Minimum Cost
|
Minimum Cost- Verification |
 |
Definition of vector addition
Parabola
Parabola
Maths is Beautiful
There are many math wonders that one can discover and recreate with the help of technology , especially GeoGebra. Here is a collection of some of them.
-
1. 8 Point Star
-
2. Square Root Spiral
-
3. Golden Spiral
-
4. Caso 5
-
5. Sierpinski Triangle
-
6. Ever Present Equilateral Triangle
-
7. Curve of Pursuit
-
8. Snowflakes with GeoGebra
-
9. Kaleidoscope
8 Point Star
8 Point Star
GeoGebra Guides
Collection of GeoGebra help guides with tutorials to help you learn GeoGebra http://tube.geogebra.org/material/simple/id/1403161
This chapter does not contain any resources yet.