Suggestions for Follow-up Actions (KS3-MS8-5)
Possible problems in students' learning (for reference only)
- Students cannot imagine the 3-D figure from its 2-D representation.
- Students cannot identify right angles in the 2-D representation of a 3-D figure.
- Students do not know what a projection of a line on a plane is.
- Students do not know how to define the angle between a line and a plane.
- Students do not know how to define the angle between two planes.
Suggestions for Follow-up Actions
Download the latest version (Nov 2014, 47M)
| Name | Emphasis | Description | Problem addressed (see above) | Suggested duration (minutes) | Available for self - learning? |
|---|---|---|---|---|---|
Lines and Planes |
Recognize the concept of the projection of a line on a plane | In the environment of Cabri 3D, students construct the projection of a line on a plane. Through the activities, students recognize how to construct the projection of a line on a plane, and how to define the angle between a line and a plane. | 
|
30 |  |
The angle between a line and a plane (1) |
Recognize how to find projections of lines on planes, and angles between lines and planes, in various 3-D figures. | In the activities of "The angle between a line and a plane (1) to (3)", students observe the projection of a line on a plane in various 3-D figures through dragging the line to different positions, then name the angle between the line and the plane. |
|
30 | |
The angle between a line and a plane (2) |
Afterwards, students can consolidate their concepts through the interactive exercises. |
|
20 | |
|
The angle between a line and a plane (3) |
|
30 | |
||
Exercise: The projection of a line on a plane |
|
20 |  |
||
Exercise: The angle between a line and a plane |
|
20 | |
||
The angle between two planes |
Recognize how to find the angle between two planes | Through the activities in "The angle between two planes", students observe how to define the angle between two planes in different 3-D figures and name the angle. |
|
30 | |
Exercise: The angle between two planes |
Afterward, students could consolidate their concepts through the interactive exercise. |
|
30 | |
* The list of possible problems is for teachers' reference only and is not meant to be exhaustive or prescriptive. Teachers can always adapt the activities/materials in order to cater for students' needs.
Other Resources
-
Education Department (2002) - Trigonometry in 3-Dimensional Space
Introduce the concepts of projections, angles between lines and planes and angles between two planes through different 3-D figures. Users can rotate the 3-D figures to view the figures from different angles.
http://resources.edb.gov.hk/trigo/
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