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INTRODUCTION

Three Dimensional (3D) drawings represent an object or scene as it looks in real life.

3D – Visualization and spatial reasoning, representing three-dimensional objects.

Spatial reasoning – the ability to see and think in 3-D  – a category of reasoning skills that refers to the capacity to think about objects in three dimensions and to draw conclusions about those objects from limited information. Someone with good spatial abilities might also be good at thinking about how an object will look when rotated. These skills are valuable in many real-world situations and can be improved with practice.

Isometric drawing – 3D drawings. They show three sides, all in dimensional proportion, but none are shown as a true shape with 90 degree corners. All the vertical lines are drawn vertically but all horizontal lines are drawn at 30 degrees to the base line. Isometric is an easy method of drawing 3D images.

Rotation – A rotation of an object is a turning of it about a straight line. The line about which the object rotates is called the axis of rotation. An object can rotate positively or negatively about an axis. If you look down the axis of rotation, a positive rotation is counterclockwise. A negative rotation is clockwise.

TASK

3D thinking is easier for some people. Everyone can see the world in 3D with a little training and practice.

Explore 3D thinking and drawing through these hands-on challenges. See the difference between 2D and 3D drawing. Learn to use simple aids such as isometeric dots to guide drawing basic objects in 3D. Play a spatial awareness skill building game.

PROCESS

Spatial Awareness Puzzles

Spatial awareness puzzles rely on your ability to visualize and mentally manipulate objects in an environment. Spatial reasoning often requires comprehending 2D or 3D space. Our spatial puzzles and games test your ability to grasp the relationship and orientation of an object to its environment and any neighboring objects. Prove your spatial intelligence by conquering these challenging online spatial games.

  • Pick one of the games listed.
  • Play the game you select for about 20 minutes.
  • Answer the quiz based on your game playing experience

Isometric Drawing Tool

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Isometric Drawing Tool – Use this interactive tool to create dynamic drawings on isometric dot paper. Draw figures using edges, faces, or cubes. You can shift, rotate, color, decompose, and view in 2‑D or 3‑D.

  • Start by clicking on the cube along the left side; then, place cubes on the grid where you would like them. This interactive is optimized for your desktop and tablet.
  • Try reproducing these drawings

Rotation drawing practice

isometericdotpaper

Draw the 3D structure views that go with the “footprint” for each. Rotate the structure 90 degrees for each view so each view represents the structure as seen from a different corner.

  • isometricdots (.pdf) – print as a worksheet
  • IsometricDotPaper (image) – copy or take a picture and use with a drawing app. You can do this with PowerPoint from Office 360. Your phone’s Notes apps includes drawing tools that can be used for this.
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3 x 2 model

Using the drawing tools, make these drawings. Submit them for credit.

  • Basic – Draw 2 different views for the 3×2 model
  • Advanced – Draw 3 different views for the 4×3 model
  • Challenge – Use LEGO bricks to design and build a model, draw 2 views and a footprint for your model
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4 x 3 Model

ASSESSMENT

  • Rotation quiz score
  • Spatial Awareness game feedback quiz
  • Isometric drawings – Basic, Advanced, Challenge
  • Module summary, feedback

CONCLUSION

How did it go? Do you get the idea of 3D representation? Does this help you “see” how things are made?

Movies, video games, virtual reality displays, even TV’s are providing 3D viewing. Now you have some experience with the basis for these technologies. Spatial visualization is an important skill for engineers and “makers” everywhere.

LEARN MORE…

  • Do They Match? – Use the Isometric Drawing Tool to determine whether two constructions are equivalent. Create constructions that are actually different, but could have the same isometric drawings.
  • Which cube cannot be made based on the unfolded cube? – Test your spatial abilities with this spatial reasoning test. Use spatial reasoning to identify the incorrect cube.
  • TinkerCAD –  free web-based 3D modeling tool for hobbyists, teachers, and students of all ages. Make home decor, toys, Minecraft models, and more.

Standards

Exploration of Engineering Technology

  • 42.0 Demonstrate skill in technical sketching and drawing as it relates to engineering design.

Exploration of Technical Design Technology

  • 57.0 Demonstrate technical knowledge and skills for making basic orthographic drawings.
  • 58.0 Demonstrate technical knowledge and skills for making pictorial drawings.
  • 59.0 Demonstrate technical knowledge and skills for making a three-dimensional study model.

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