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**I Can Solve Problems Using Scale Drawings!**

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

Some new words we will encounter: Scale Scale drawing Scale factor Scale model

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

We know about scales at the supermarket. They measure weight. They show the relationship between how much you are buying and how much you have to pay.

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

We also know about the scales we stand on. They measure our weight. They help to show the relationship between our health and Grandma’s potato salad last week!

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

In math, scale shows the relationship between two things as well. With maps, it is usually between a distance measured on the map and the actual distance on the ground.

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

Suppose the distance between Coral Springs and Fort Lauderdale is about 4.1 centimeters on the map. What is the actual distance on the ground if the scale is 1 cm = 4.5 km?

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

Use the scale as a fraction. Use cross-products to calculate.

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

A scale drawing represents something that is too large or too small to be drawn at its actual size. Maps and blueprints are examples of scale drawings.

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

The blueprint of the pool shows each square has a side length of ¼ inch. If the scale is written as ¼ in = 2 ft, what is actual width of the pool? (To figure this out, what else do you need to know?)

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

Width of the pool on the blueprint = inches. How can you use cross products to figure out how wide the pool really is?

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

You can convert the units in a scale to simplify it. When you do that, you end up with a scale factor. It is a ratio written in its simplest form.

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

1) Find the scale factor of the blueprint of a school bus parking lot if the scale is written as “1 inch = 8 feet”. 2) On a scale drawing of a new classroom, the scale is 1 centimeter = 2.5 meters. What is the scale factor?

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

1) Scale factor = 1/96. That means that each measurement on the blueprint is 1/96th of the actual measurement of the parking lot. 2) 1 centimeter / 2.5 meters: = 1 cm / (2.5 m x 100) cm = 1 cm / 250 cm = 1/250

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

If you know the actual length of an object and you know the scale, you can build a scale model. Scale models are used to represent things that are too large or too small for an actual-size model. Examples are cars, planes, trains, rockets, computer chips, heart cells, bacteria.

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

Designers are creating a larger model of a computer memory board to use in design work. The board measures 5 ¼ inches in length. If they use a scale of 20 inches = 1 inch, what is the length of the model?

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

Things to remember: When solving proportions, give your answer in the correct unit of measurement. Scale factors do not have units. Equivalent scales have the same scale factor. For example 1 inch = 8 feet and ¼ inch = 2 feet both equal 1/96 (or 1:96) Scale is the ratio between the drawing/model measurement to the actual measurement. Not always the ratio of smaller to larger!

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**I Can Solve Problems Using Scale Drawings! (SOL 7.6)**

What are your questions about Scale Drawings?

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7-4 Scale Drawings p. 304-308 Indicator – M4 Solve problems involving scale factors.

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