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Maths in 3-D
Years |
Strands |
Proficiencies |
7 8 9 10 11 |
number algebra measurement geometry |
understanding problem solving
|
Zebedee is a handheld 3-D mapping system, which consists of a lightweight scanner that measures distance by illuminating a target with a laser and analysing the reflected light. It has a maximum range of approximately 30m.
The measurement unit uses electrical and mechanical components built on the nanoscale. It is mounted on a simple spring mechanism. As an operator holding the device moves through the environment, the scanner loosely oscillates about the spring, thereby producing rotational motion that converts the 2-D scanning plane into a local 3-D field of view.
With the use of software, the sensor trajectory can be accurately and continuously calculated in real-time, and the range measurements can be projected into a common coordinate frame to generate a 3-D point image.
Activity 1: Be a Zebedee
Years 8–10
Students simulate how the Zebedee works in two dimensions. Instead of light, this simulation activity uses sound to identify the positions. Students cooperate as a team to lay out and then navigate a course. They then construct accurate scale diagrams and compare to the original.
MI_3D_Activity1_BeAZebedee.docx 198.35 kB
Activity 2: Are we there yet?
Years 7–9
Students perform calculations about speed, distance and time, emphasising estimation and correct units. They plan a driving trip of their own choice, taking into account practical factors.
MI_3D_Activity2_AreWeThereYet.docx 281.96 kB
Activity 3: Scientific notation
Years 8–11
Students explore the scientific notation used for very big and very small numbers, and use that knowledge in a variety of questions.
MI_3D_Activity3_ScientificNotation.docx 229.66 kB