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I Can Solve Problems Using Scale Drawings! SOL 7.6.

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Presentation on theme: "I Can Solve Problems Using Scale Drawings! SOL 7.6."— Presentation transcript:

1 I Can Solve Problems Using Scale Drawings! SOL 7.6

2 I Can Solve Problems Using Scale Drawings! (SOL 7.6) Some new words we will encounter: ◦ Scale ◦ Scale drawing ◦ Scale factor ◦ Scale model

3 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.

4 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!

5 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.

6 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?

7 I Can Solve Problems Using Scale Drawings! (SOL 7.6) Use the scale as a fraction. Use cross-products to calculate.

8 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.

9 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?)

10 I Can Solve Problems Using Scale Drawings! (SOL 7.6) Width of the pool on the blueprint = 1.75 inches. How can you use cross products to figure out how wide the pool really is?

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

12 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.

13 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?

14 I Can Solve Problems Using Scale Drawings! (SOL 7.6) 1) Scale factor = 1/96. That means that each measurement on the blueprint is 1/96 th 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

15 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.

16 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?

17 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!

18 I Can Solve Problems Using Scale Drawings! (SOL 7.6) What are your questions about Scale Drawings?


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