The primary focus of this lesson is on the inter-relationship between geometry and fabrication. GeoConstructix adapts digital fabrication concepts by focusing on the inter-relationship between geometry and Computer-aided design and manufacturing (CAD/CAM) techniques. The lesson’s scaffolding structure allows students to work with a series of successive methods-based exercises that rely on both digital modeling and prototypes. Students “learn by doing.” By the end of this lesson, students will learn the fundamentals of geometry and fabrication techniques with increasing levels of complexity. This is an introductory lesson in digital fabrication.
Key Vocabulary / Terms
Area of Triangle = ½ base * height
Area of a Square = base * height
Cube Volume = base * height * depth
Tetrahedron = a3/ (6√2) ; a = length of edge
110 lb Cardstock
CorelDraw (or similar 2D vector graphics software)
Design Files Developed:
Files downloaded on SCOPES-DF Google Drive
Readings / Handouts
Map of Lesson
Before the lesson:
Step One: Identify geometry concepts to create non-digital prototypes (25 Minutes)
Guided Instruction: Students will gain an understanding of the relationship between fabrication process and assembly without technical aspects of digital modeling. Teacher will guide students through an activity in which they use laser cut 2D shapes to construct various 3D objects and learn about geometric shapes.
Essential Question: Why is it important to understand the characteristics and distinctions of two-and-three-dimensional figures?
Make sure students have the following supplies before beginning lesson plan:
Intro to area and unit square:
Step 2: Build Your Own Sculpture
Essential Question: In what ways are geometric figures used in real life?
Warm-up (10 Minutes): Describe the the fundamentals of laser cutting:
Question for students:
Making of Shapes: (50 Minutes)
(From Fab Testing in Cleveland (Andrea Fields))
Common Core Mathematical Practices
MP.1- Make sense of problems and persevere in solving them.
MP.2 -Reason abstractly and quantitatively.
MP.3- Construct viable arguments and critique the reasoning of others.
MP.4- Model with mathematics.
MP.5-Use appropriate tools strategically. MP.6- Attend to precision.
MP.7- Look for and make use of structure.
MP.8- Look for and express regularity in repeated reasoning.
Common Core Mathematics Standards
5.G.A.1. Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates.
5.NBT.5:Fluently multiply multi-digit whole numbers using standard algorithm.
6.RP.1: Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
6.RP.3-b: Solve unit rate problems including those involving pricing and constant speed.
6.RP3-d: Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing.
Digital Fabrication Competencies: I Can Statements