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Facilitate Self-Directed Learning in Secondary Math
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1. Handoout
- Using GeoGebra to Facilitate Self-Directed Learning in Secondary Mathematics
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2. Examples of GeoGebra Resources
- Area of Two Rectangles
- Exterior Angles of Polygons
- Errors in Measurement
- Area of Circles
- Volume of Spheres with Proof
- Addition of Directed Numbers - Counters Model
- Subtraction of Directed Numbers - Counters Model
- Addition of Directed Numbers - Elevator Model
- Subtraction of Directed Numbers - Elevator Model
- Quiz on Solving Right Triangles (Combined) 解直角三角形:合併測驗
- Quiz on Special Lines in Triangles 三角形內的特殊線:測驗
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3. Exploring Congruence of Triangles
- Q1
- Q2
- Q3
- Q4
- Q5
- Q6
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4. Drawing Figures and Graphs
- Graph Plotter 2020
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5. Creating Simple GeoGebra Applets
- Rotation on the Coordinate Plane
- y = a sin x°
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Facilitate Self-Directed Learning in Secondary Math
Anthony OR 柯志明, Jan 21, 2022

Facilitate Self-Directed Learning using GeoGebra
Table of Contents
- Handoout
- Using GeoGebra to Facilitate Self-Directed Learning in Secondary Mathematics
- Examples of GeoGebra Resources
- Area of Two Rectangles
- Exterior Angles of Polygons
- Errors in Measurement
- Area of Circles
- Volume of Spheres with Proof
- Addition of Directed Numbers - Counters Model
- Subtraction of Directed Numbers - Counters Model
- Addition of Directed Numbers - Elevator Model
- Subtraction of Directed Numbers - Elevator Model
- Quiz on Solving Right Triangles (Combined) 解直角三角形:合併測驗
- Quiz on Special Lines in Triangles 三角形內的特殊線:測驗
- Exploring Congruence of Triangles
- Q1
- Q2
- Q3
- Q4
- Q5
- Q6
- Drawing Figures and Graphs
- Graph Plotter 2020
- Creating Simple GeoGebra Applets
- Rotation on the Coordinate Plane
- y = a sin x°
Using GeoGebra to Facilitate Self-Directed Learning in Secondary Mathematics
Using GeoGebra to Facilitate Self-Directed Learning in Secondary Mathematics
Examples of GeoGebra Resources
-
1. Area of Two Rectangles
-
2. Exterior Angles of Polygons
-
3. Errors in Measurement
-
4. Area of Circles
-
5. Volume of Spheres with Proof
-
6. Addition of Directed Numbers - Counters Model
-
7. Subtraction of Directed Numbers - Counters Model
-
8. Addition of Directed Numbers - Elevator Model
-
9. Subtraction of Directed Numbers - Elevator Model
-
10. Quiz on Solving Right Triangles (Combined) 解直角三角形:合併測驗
-
11. Quiz on Special Lines in Triangles 三角形內的特殊線:測驗
Area of Two Rectangles
Drag P so that the two red rectangles have equal area.

At what positions of P would the two rectangles have equal areas?
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• Unordered list
1. Ordered list
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[code]Code [ctrl+shift+4]
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Insert icons of GeoGebra tools
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Insert Math
Prove your assertion in the space of the applet.
Graph Plotter 2020
Instructions
- Click the full-screen button at the lower right corner to use this applet.
- After modifying the parameters in the control panel, click any space in the graphics view to activate it. Input the functions to plot.
- Show and edit the axis labels and text labels if necessary.
- Set the margins required.
- Save the picture as PNG or SVG formats.
Version 1 (for general functions)

Examples
If(-2<x<8, -0.25(x-4)^2+16)
If((x-3)^2-1<=20, (x-3)^2-1)
If(-2<x<1, x+5, 1<x<4, 6, 4<x<8, 3x-6)
Version 2 (for trigonometric functions)


Examples
If(0<=x<=720, cos(x deg))
This applet is modified from an applet made by Anthony Or of GeoGebra Institute of Hong Kong.
gMath 互動數學教室
http://www.gmath.hk
Rotation on the Coordinate Plane


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