GeoGebra Courses for STEM: Examples

Anthony OR 柯志明, Dec 9, 2016

Table of Contents

  1. Construction Tasks
    1. Equilateral Triangles and Regular Hexagons Inscribed in Circles
    2. Tessellation
    3. polygon ring
    4. Rotating and Dilating Squares
    5. Constructing Loci
  2. 3D Constructions and Explorations
    1. Cross-Sections of the Cube
    2. Rotational Symmetry of Cubes
    3. Other Net of Tetrahedron
    4. Unwrapping a Cylinder Cut by An Oblique Plane (Tracing)
    5. Unwrapping a Cylinder Cut by An Oblique Plane - Equation
    6. Movable Dandelin spheres
  3. Inquiry and Problem Solving
    1. Inquiry Task (Elementary)
    2. Inquiry Task (Intermediate)
    3. Triangle on Parallel Lines
  4. Algebraic Thinking and Coding
    1. Curve Stitching

1.

Construction Tasks

  • 1. Equilateral Triangles and Regular Hexagons Inscribed in Circles
  • 2. Tessellation
  • 3. polygon ring
  • 4. Rotating and Dilating Squares
  • 5. Constructing Loci

1.1.

Equilateral Triangles and Regular Hexagons Inscribed in Circles

Drag the points in the two figures below to see the effects.[br]Can you construct these two figures?
[b]Task 2.1[/b][br]Construct the following regular hexagon and start the animation.[br]Save your answer in the name "2.1[color=#0000ff][i]x[/i][color=#000000]_[i][color=#ff0000]yourname[/color][/i].ggb", where[color=#0000ff][i] x[/i][/color] denotes the letter of the part (a to e) and [color=#ff0000][i]yourname[/i] [color=#000000]is your name in English. Send an email titled [color=#0000ff][color=#000000][color=#ff0000][color=#000000]"[b]MATP1331 Lesson 2 Answers[/b]" [/color][/color][/color][/color]with your answers of this session attached to [b]geogebra.hk@gmail.com [/b][/color][/color][/color][/color]
– GeoGebra Institute of Hong Kong

1.2.

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1.3.

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1.4.

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1.5.

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2.

3D Constructions and Explorations

  • 1. Cross-Sections of the Cube
  • 2. Rotational Symmetry of Cubes
  • 3. Other Net of Tetrahedron
  • 4. Unwrapping a Cylinder Cut by An Oblique Plane (Tracing)
  • 5. Unwrapping a Cylinder Cut by An Oblique Plane - Equation
  • 6. Movable Dandelin spheres

2.1.

Cross-Sections of the Cube

Construct the following figures according to the teacher's instruction.
Investigate the possible shapes of the sections of a cube with the figures you constructed.[br]Investigate whether the cube can have the following shapes as cross-sections.[br][list=1][*]Scalene triangles;[br][/*][*]Isosceles triangles;[/*][*]Equilateral triangles;[/*][*]Rectangles;[/*][*]Rhombuses;[/*][*]Parallelograms;[/*][*]Trapeziums;[/*][*]Pentagons;[/*][*]Regular hexagons.[/*][/list]
– Anthony OR 柯志明, GeoGebra Institute of Hong Kong

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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3.

Inquiry and Problem Solving

  • 1. Inquiry Task (Elementary)
  • 2. Inquiry Task (Intermediate)
  • 3. Triangle on Parallel Lines

3.1.

Inquiry Task (Elementary)

Task 2.4
Construct the following figure.[br]At what positions of P would the two rectangles have equal areas?[br]Can you justify your observation?
– Anthony OR 柯志明, GeoGebra Institute of Hong Kong

3.2.

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3.3.

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4.

Algebraic Thinking and Coding

  • 1. Curve Stitching

4.1.

Curve Stitching

– Anthony OR 柯志明

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