3D Mathematics

Task Summary

Visualising 3D Mathematics is often difficult when viewed in a 2D representation (e.g. on a page). Using Geogebra Mixed Reality and Cospaces, students will be able to view 3D solids in a unique way to understand their features and solve related problems.

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Preparation

Students are expected to:

  • Have some background knowledge on using Immersive Reality (IMVR) Headsets.
  • Have some background in using Cospaces
  • Have background skills in solving volume problems involving simple and composite solids

Teachers should make sure that:

  • Devices are charged (if using)
  • Presentation slide deck has been checked.
  • A copy of the Student Digital Notebook has been distributed to students and they have downloaded/ made a copy for themselves.
  • Students are divided into pairs or groups, depending on how many devices are available. A suggested rotation cycle may be:

 

Group Round 1 Round 2 Round 3
Group 1 IMVR Applications AR
Group 2 AR IMVR Applications
Group 3 Applications AR IMVR

This may differ based on student numbers and number of IMVR stations

Learning Sequence

Station 1 – IMVR

In groups, engage with the the various prompts available on GeoGebra Mixed Reality, including:

  • 3D Solids
  • Mobius Strip 
  • Lissajou Curve

Students answer the questions on page 3 of the 3D Mathematics – Student Digital Notebook

Station 2 – HHVR

Students use Cospaces to recreate a 3D solid composite problem of their own creation or one found in their learning resource (e.g. textbook, online maths software, etc.). The composite solid should include

  • At least two 3D solids
  • Relevant measurements 
  • What will the age groups be?
  • What facilities will be required?

How to create a 3D composite solid in CoSpaces

  1. Select “Merge Cube”
  2. Select “Library” 
  3. Select “Building”
  4. Select “Three-Dimensional” to import various 3D solids
  5. Select “Flat” to annotate relevant measurements

 

Station 3 – Applications

Students will research the internet for  applications of calculating surface area and volume. They will answer the following prompting questions:

  • “Calculating surface area can help in real life  situations such as”
  • “Calculating volume can help in real life  situations such as”

Following this students will come up with a problem for other students to solve involving the situations they have come up with.

 

Download the PDF for more information

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