Lesson Objective

Students will explain the principles of parallel line development and identify "stretch-out" lines for basic geometric prisms.

How do we calculate the total length of a flattened box before we fold it?

Where do "tab" allowances need to be placed for physical assembly?

Surface Development, Stretch-out Line, Fold Line, Tab/Flange, True Length.

CT CADD.09.01: Explain and create surface developments and intersections.

Students will analyze a 3D rectangular prism and a pyramid. They will manually "unfold" a paper cube to see how faces connect. In AutoCAD, they will draw the "Stretch-out" (the total perimeter of the shape) and divide it into the specific faces of the prism.

Purpose: To understand the transition from 3D volume to 2D surface area.

DOK Level: 2.

Provide "Foldable" cardstock templates for students to deconstruct; use color-coded lines in AutoCAD (Red for Cut, Blue dashed for Fold).

A digital "Flat Layout" of a simple cube or rectangular prism with correct dimensions.

 

 

Cardstock, scissors, AutoCAD.