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Tom , Jerry, and Wilson all received a certain amount of liquid silver as an inheritance from their grandparents. Tom received 5 cups of silver, Jerry received 3 pints of silver, and Wilson received 1 quart of silver. Which answer choice is a true statement? (DOK 3 )
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Tom, Jerry, and Wilson all received a certain amount of liquid silver as an inheritance from their grandparents. Tom received 5 cups of silver, Jerry received 3 pints of silver, and Wilson received 1 quart of silver. Which answer choice is a true statement? (DOK 3) a) Wilson received more than Tom, because 1 quart is more than 5 cups. b) Tom received more than Jerry, because 5 cups is more than 3 pints. c) Wilson received the least, because he only received 4 cups. d) Tom received the least, because cups is a smaller unit than pints and quarts. bellwork!!!!
Pre-Algebra Obj. 7.1.g, 7.4.d Scale Drawings/Proportions
Giles Hall School of Architecture Architects design buildings and help in the construction of buildings!
Architects use scale drawings everyday in their line of work. Scale drawings
A Scale Drawing… is an ENLARGED or REDUCED drawing of an actual object. What is a scale drawing? Blueprints Maps Scale Models
Blueprints of a house. EXAMPLE: 2 inches : 4 feet
Maps EXAMPLE: 2 inches = 25 miles
Scale Models EXAMPLE 1: 1:12
Famous Architect Minoru Yamasaki EXAMPLE 2:
EXAMPLE 2: American Airlines New York City
EXAMPLE 2: September 11, 2001
EXAMPLE 2: World Trade Center Built: December 1971 Destroyed: September 11, 2001
EXAMPLE 2: Original scale model of the World Trade Center. Built 40 years ago! The height of the buildings on the model are 7 feet! 1:200
EXAMPLE 2: September 11 Museum scheduled to open in 2011.
Ready to solve some problems? You can use proportions to solve problems dealing with scales. Key to REMEMBER When setting up ANY proportion: Like units have to be across from each other! Pounds Pounds $ $ Miles Miles
Problem 1: The scale of a map is 2 inches = 25 miles. Find the actual distance if the map distance is 3 inches. Step 1 Set up ratio #1: Use the scale. Step 2 Set up ratio #2: Look at what you are being asked. inches inches miles miles Step 3 Cross Multiply Step 4 Solve the equation. x = 37.5 miles = 2x = 75 Hint: When setting up your ratios it helps to include your units! (inches, feet, miles, yards…)
Problem 2: On an architect’s drawing of a house, 1 inch represents 1.5 feet. If the bedroom window is 2 inches long on the drawing, how many feet will it be on the actual house? Scale: 1 in = 1.5 ft Proportions Step 1 Step 2 Step 3 Step 4
1. A scale drawing has a scale of .25 inches = 6 feet. Find the length of the drawing if the actual length is 66 feet. 2. Scale: .5 inches = 10 feet If the actual length 40 feet, what is the drawing length? You Try!
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? Closure