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**5.7 Scale Drawings and Models**

Standard: MG 1.3 Objective: Students use scales, ratios, and proportions to solve scale drawing and model problems.

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Key Concepts Scale drawing: a 2D drawing of an object reduced to a proportion of the original object. Scale model: a 3D model of an object reduced to a proportion of the original object. Scale: the ratio of the dimensions of the large object to the reduced model.

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Key Concept Maps, globes, Google maps, blueprints, and model cars are all examples of scale drawings and/or models. It makes it easier to understand large objects.

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**Example 1: Find measurement**

Since the distance must be proportional to the scale, write and solve a proportion to find the missing value. Make sure units match when setting up the proportion.

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**Practice 1 The scale on a map reads 1 cm : 200 m. Find the**

actual distance if the distance measured on the map is 7 cm. 5

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**Find the actual distance from LA to Houston.**

mi Scale 1 in : 300 mi 6

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Example 2: Find scale Just like in example 1, use a proportion to find the missing value.

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Practice 2 A blueprint shows a house that is 15 cm long and the actual house is 75 m. The scale is 1 cm : ? m. What is the scale?

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**Example 3: Find dimensions**

First change the scale to equal units (inches) Then write and solve the proportion

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**The scale of the house blueprint below is to be 1 in = 8 ft. **

If the actual dimensions are 80 ft. by 30 ft., find the map dimensions x and y. y Scale 1 in : 8 ft x Length Width 10

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**Review What is a scale model or drawing? What is a scale?**

How do you solve scale problems? Give an example of when a scale is used.

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