Apply proportional reasoning to solve problems involving scales to find actual distances on a map.
After completing this tutorial, you will be able to complete the following:
Scale drawing, scale and scale factor
A scale drawing is a drawing of an object whose dimensions are proportional to the actual dimensions of an object. The scale tells how the drawing's dimensions and the actual dimensions are related, and is expressed as a ratio. When this ratio of a drawing's dimensions and the actual dimensions is written as a fraction without units, it is called scale factor.
If a problem asks for you to find and write the scale, you would write the size of the scale model first then the actual size.
This can be expressed as 1 cm : 50 km or
Using proportions to solve problems involving scale.You can use proportional reasoning to solve problems involving scale.For example, a boat is 3 inches in size and the scale is 1 in. : 5ft. To find the actual size of the boat, setup a proportion
Therefore, the value of x, is 15 ft, which is the actual size of the boat
The following key vocabulary terms will be used throughout this Activity Object:
|Approximate Time||27 Minutes|
|Pre-requisite Concepts||measurement, proportion|
|Type of Tutorial||Concept Development|
|Key Vocabulary||actual distance, map, proportion|