ResourceMAP - Scale Drawings - Teacher Edition

ResourceMAP modules are relatively short and designed for flexible implementation; that is, they can be used in regular classes as well as in special test-preparation settings. Each module contains a set of contextual problems in several formats: multi-part open response, short response, and multiple-choice. Accompanying the problem set are tip sheets that serve several purposes including lists of formulas, calculator instruction, and brief reviews of the module's underlying mathematics. Also provided are teacher notes (the module purpose, the mathematical focus, and implementation commentary), answers to all problems, and (in a few cases) handout masters.

Scale Drawings

Often it is not practical to make full-size drawings of objects. If a drawing is to be
made of something very large or very small, a scale drawing is used. A scale drawing
has the same shape as an object but is smaller (or larger) than the object. Maps,
charts, and blueprints are examples of scale drawings.

In a scale drawing, all angles equal the angles they represent. All distances are a
certain ratio of the distances they represent. The scale used in the drawing
indicates the ratio between a distance in the drawing and the actual distance.

I. Purpose
• To review solving problems that involve scale drawings
• To provide practice writing and solving proportions

II. Mathematical Focus
• Scale drawings
• Similar figures
• Ratios and proportions

III. Tip Sheet
One Tip Sheet accompanies this module. It includes:

• Definitions of similar figures, scale drawing, and scale factor
• Reminders of how to determine the scale factors of the perimeter, the surface
area, and the volume of two similar solids when the scale factor of the two solids
is known