Section 1: What is a scale drawing? Section 2:Using proportions to find unknown quantities involving scale drawings. Section 3:Reproducing a figure.

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Presentation transcript:

Section 1: What is a scale drawing? Section 2:Using proportions to find unknown quantities involving scale drawings. Section 3:Reproducing a figure using a scale. Section 4:Finding area and perimeter of shapes involving scale.

Scale Drawings Let me explain using real life…

Home of the Bulldogs!

Cowbells of course! And Football!

And, having great dairy products such as cheese! MSU is an agricultural school for those that didn’t know. #1 Vet School in the Country!

Mississippi State University is also famous for their

Architects design buildings and help in the construction of buildings! Giles Hall As most students are driving around campus late at night with their radios turned up as loud as possible having fun, architect students are working in Giles Hall designing buildings! Not an easy major, but very rewarding to see the finished product!

Architects use scale drawings everyday in their line of work.

A Scale Drawing… is an ENLARGED or REDUCED drawing of an actual object.

2 inches : 4 feet How would you like to live on the BEACH? This blueprint has a scale of 2 inches : 4 feet 2 inches is the drawing length. 4 feet is the actual length. If something measures 2 inches on the blueprint, then in real life the measurement would actually be 4 feet.

Scale 2 inches = 25 miles This map is a scale drawing because it is a reduced drawing of the state of Mississippi. 2 inches is the map/drawing length. 25 miles is the actual length. If you measure 2 inches on the map, it would actually be 25 miles in real life.

Scale Models Scale 1:12 Did anyone see the movie “Independence Day” starring Will Smith? It is one of my favorite movies. So… do you really think they blew up the actual white house? No way! A scale model was built, and it was used in the movie to shoot that scene.

Minoru Yamasaki Does anyone know this famous architect? What famous building or buildings did he build? Look… he made the cover of Time Magazine! Let me give you some hints. Do not holler out the answer! Scale Models

American Airlines New York City The famous building or buildings he designed have ties to American Airlines and New York City. Don’t say the answer. If you still don’t know, here’s another hint…

Destroyed: September 11, 2001 Built: December 1971 Minoru Yamasaki is the architect famous for designing and overseeing the construction of the World Trade Center, also known as the Twin Towers!

Scale 1 : 200 Here is a picture of the original scale model used in the construction of the twin towers. Can you believe for years it was cooped up in a warehouse, wanted by no one. After 911, everyone wanted it! It was eventually donated to the 911 Museum. Look at the scale. 1:200 If it is 1 inch on the model, then it was 200 inches in real life. If it is 1 foot on the model, in real life it was 200 feet. The height of the building on the scale model is 7 feet. In real life the height of the tower was 7 x 200 = 1,400 feet!

Section 1: What is a scale drawing? Section 2:Using proportions to find unknown quantities involving scale. Section 3:Reproducing a figure using a scale. Section 4:Finding area and perimeter of shapes involving scale.

You can use proportions to solve problems dealing with scales drawings. Today, when setting up your proportions keep this in mind…

Example:The scale of a map is 2 inches = 25 miles. Find the actual distance if the map distance is 3 inches. Step 1: Take the scale and make that the 1 st ratio. Step 2: Take the other information provided and make that your 2 nd ratio. Step 3: Cross Multiply Step 4: Solve the equation.

On an architect’s drawing of a house, 1 inch represents 1.5 feet. If the actual bedroom window is 3 feet, how many inches will it be on the drawing? Scale: 1 in = 1.5 ft

The scale on a map shows that 5 centimeters = 2 kilometers. Part A: What number of centimeters on the map represents an actual distance of 5 kilometers? Part B: What is the actual number of kilometers that is represented by 2 centimeters on the map?

Section 1: What is a scale drawing? Section 2:Using proportions to find unknown quantities involving scale. Section 3:Reproducing a figure using a scale. Section 4:Finding area and perimeter of shapes involving scale.

Reproducing a figure using a scale We’ll move straight to an example problem…

Example: An architect made this drawing to represent a swimming pool. If the scale is 1 inch = 3 feet, what are the dimensions of the actual swimming pool? To find the actual dimensions of the pool, set up and solve a proportion using the scale for each side. Answer: The dimensions of the actual swimming pool are 12 ft by 15 ft Swimming Pool 5 in. 4 in.

Section 1: What is a scale drawing? Section 2:Using proportions to find unknown quantities involving scale. Section 3:Reproducing a figure using a scale. Section 4:Finding area and perimeter of shapes involving scale.

An architect made this drawing to represent a swimming pool. If the scale is 1 inch = 3 feet, what is the perimeter and area of the actual swimming pool? Swimming Pool 7 in. 5 in.

Julie is constructing a scale model of her room. The rectangular room is 10.5 inches by 8 inches. If 1 inch represents 2 feet of the actual room, what is the perimeter and area of Julie’s room?

A scale drawing is a reduced (or enlarged) drawing of an actual object.  What is a example of a scale drawing?  How do you solve problems that involve scales?  The first ratio is always your ________?  The second ratio is set up from the _______?  When setting up ANY proportion, what is VERY IMPORTANT to remember? Blueprints, Maps, Scale Models Set up a Proportion Scale The other # in the problem. Put “like things” across from each other!