Miss Tsui GeoGebra Book

Tsui Suet Yin, Apr 30, 2015

Table of Contents

  1. 中一級
    1. Congruent Triangles Exploration 1
    2. prove SSS
    3. prove SAS
    4. Prove ASA
    5. prove AAS
    6. Prove RHS
  2. 中二級
    1. Area of Circles
    2. Circle Area (By Peeling!)
  3. 中三級
    1. Sphere Peeling: Volume
  4. 中四至中六
    1. Logarithmic Functions: Graphs
    2. Graphs of Logarithmic Functions (1)
    3. Logarithmic Functions
    4. Exponential function and Logarithmic Function

1.

中一級

its about topics of Form 1.

  • 1. Congruent Triangles Exploration 1
  • 2. prove SSS
  • 3. prove SAS
  • 4. Prove ASA
  • 5. prove AAS
  • 6. Prove RHS

1.1.

Congruent Triangles Exploration 1

– Lorena Mendoza

1.2.

–

1.3.

–

1.4.

–

1.5.

–

1.6.

–

2.

中二級

  • 1. Area of Circles
  • 2. Circle Area (By Peeling!)

2.1.

Area of Circles

What is the area of a circle? Explore with the following applet.
Anthony Or, GeoGebra Institute of Hong Kong.
– Anthony OR 柯志明

2.2.

–

3.

中三級

  • 1. Sphere Peeling: Volume

3.1.

Sphere Peeling: Volume

[b][color=#1551b5]Imagine a sphere being made up of infinitely many smaller spheres (spherical "shells"). Each one of these smaller spheres would be nestled inside all the others spheres (shells) that are larger than it, and would contain more spherical shells that are smaller than it. [/color] [/b][br][br][b][color=#0a971e]In the following investigation, we'll attempt to "peel a sphere", so to speak, in order to discover a means of calculating its volume. [/color][/b] [br][br][i][color=#c51414]Enjoy the show! As you do, pay careful attention to what you observe.[/color][/i] [br][i]Be sure to answer the questions that follow.[/i]
[b][color=#c51414]Questions:[/color][/b][br][br][color=#1551b5]1) The solid made up by all those colorful discs closely, but not exactly, resembles what other [br] solid? [br][br]2) What is the formula for the volume of this solid? [br][br]3) Note that the base of this solid is the same as the surface area of the original sphere. What is [br] the formula for the base area of this solid? [br][br]4) Note that the height of this solid is the same as the radius of this original sphere. [br][br]5) How does the volume of the original sphere compare with the volume of the newer solid [br] formed? [br][br]6) Given your response to (5), substitute the expression you wrote for (3) and the radius, "R", into [br] the formula you wrote in (2). Simplify your expression. [br][br]7) Given what you now have now written for (6), What is the formula for the volume of a sphere? [/color]
– Tim Brzezinski

4.

中四至中六

  • 1. Logarithmic Functions: Graphs
  • 2. Graphs of Logarithmic Functions (1)
  • 3. Logarithmic Functions
  • 4. Exponential function and Logarithmic Function

4.1.

Logarithmic Functions: Graphs

– Tim Brzezinski

4.2.

–

4.3.

–

4.4.

–

Information