LESSON 4 1 2 SCALE DRAWINGS TODAY Section
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LESSON 4. 1. 2 SCALE DRAWINGS
TODAY… 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…
MISSISSIPPI STATE UNIVERSITY! Home of the Bulldogs!
MISSISSIPPI STATE IS FAMOUS FOR… Cowbells of course! And Football!
MISSISSIPPI STATE IS FAMOUS FOR… #1 Vet School in the Country! And, having great dairy products such as cheese! MSU is an agricultural school for those that didn’t know.
Mississippi State University is also famous for their
SCHOOL OF ARCHITECTURE 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!
SCALE DRAWINGS Architects use scale drawings everyday in their line of work.
WHAT IS A SCALE DRAWING? A Scale Drawing… is an ENLARGED or REDUCED drawing of an actual object.
BLUEPRINTS OF A HOUSE 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 2 inches : 4 feet
MAPS 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 2 inches = 25 miles
INDEPENDENCE DAY Scale Models 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. Scale 1: 12
FAMOUS ARCHITECT Scale Models 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! Minoru Yamasaki
HINT! 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…
LAST HINT! September 11, 2001 Does anyone know what buildings this famous architect designed?
Minoru Yamasaki is the architect famous for designing and overseeing the construction of the World Trade Center, also known as the Twin Towers! Built: December 1971 Destroyed: September 11, 2001
Here is a picture of the original scale model used in the construction of the twin towers. Scale 1 : 200 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!
MOVING ON… 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: Step 2: Step 3: Step 4: Take the scale and make that the 1 st ratio. Take the other information provided and make that your 2 nd ratio. Cross Multiply Solve the equation.
GUIDED PRACTICE 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
YOU TRY! 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?
MOVING ON… 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. 5 in. Swimming Pool 4 in. Answer: The dimensions of the actual swimming pool are 12 ft by 15 ft
LAST SECTION… 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.
GUIDED PRACTICE 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? 7 in. Swimming Pool 5 in.
YOU TRY 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?
CLOSURE A scale drawing is a reduced (or enlarged) drawing of an actual object. � What is a example of a scale drawing? Blueprints, Maps, Scale Models � How do you solve problems that involve scales? Set up a Proportion � Scale The first ratio is always your ____? � The second ratio is set up from the _______? The other # in the problem. � When setting up ANY proportion, what is VERY IMPORTANT to remember? Put “like things” across from each other!
Time for Classwork!
End of Power. Point
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