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Name________________________Date_______________7.G.1Team____________Scale Drawings (Day 1)Key Takeaways:Standard: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.Previously, we have studied proportional relationships between different quantities. Now, we know that we can apply proportional reasoning to scale drawings and models. The scale ratio of a scale drawing describes the proportional relationship between the scale dimensions and the actual dimensions. A scale drawing is proportionally sized to real life.Vocabulary: scale, actualSmart Goal: that 80% of students show mastery on this standardExit Ticket: Use the ratio to find the scaleHW: Scale Drawings and Mixed Review____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________FRAME: How can we use a scale drawing to compute actual lengths?Explore!056324500Below is a scale drawing of a soccer field. Some of the teachers are having a debate over the dimensions of the actual field. 1905342905 cm0200005 cm1119596228608 cm0200008 cmMs. Davidson thinks the field is 40 yards by 30 yards. Ms. Fromson thinks the field is really 48 yards by 45 yards. Mr. Beck thinks the field is 40 yards by 25 yards. Which of these dimensions could be the actual dimensions of the real soccer field? Show or explain how you know.Guided PracticeA new museum is being built in Brooklyn. The architects designed a floor plan to show three separate wings (Impressionist, Landscape Art, and Modern Art) and two elevators (labeled E).4162425952500Each wing has the same width. How many centimeters wide is each wing? Once constructed, how many feet wide will each wing be?How many centimeters long is each wing? Once constructed, how many feet long will each be? Complete the table below:WingLengthFloor Plan (cm)Actual (feet)Modern ArtLandscape ArtImpressionistIndependent Practice: Mild 38290501460500Ms. Kunsman made this scale drawing of a turtle she once observed.In the drawing, the length of the turtle’s shell is 15 mm. What was the actual length of the shell of the turtle Ms. Kunsman observed? Show work.In a scale drawing of a youth soccer field the length of the field is 4.5 in. If the scale is 1 in : 12 ft, what is the length of the field?The scale on a map shows that 15 centimeters = 2.5 kilometers. What number of centimeters on the map represents an actual distance of 7.5 kilometers?Independent Practice: Medium On a scale drawing there are two buildings measuring 5 ? inches and 7 inches tall. If the scale of the drawing is 1 in : 8 ft, what is the difference in height between the actual buildings?If the pentagon below is reproduced at a scale factor of 1/2, what is its perimeter? 170370561595001.7 cm20923251562103.4 cm003.4 cm8.5 cm17 cm34 cmJerry has a miniature model of a boat. He knows that the model is 3 ? inches wide and 5 ? inches long. What is the actual length of the boat if the actual width is 15 feet?On the map below, ? inch represents one mile. Candler, Canton, and Oteen are three cities on the map.3141980-127000If the distance between the real towns of Candler and Canton is 9 miles, how far apart are Candler and Canton on the map?If Candler and Oteen are 3 ? inches apart on the map, what is the actual distance between Candler and Oteen in miles?The?Great Pyramid?in Egypt is about 147?meters tall. Rosa is building a scale model of the?Great Pyramid using the scale 1?inch?=?10?meters. Which of the following proportions can Rosa use to find the height in inches, x, that her scale model should be? Independent Practice: Spicy 1. Solve: 4-6x-8=2082. Solve: -312=23-16x3. Solve: 108=9(-2+7y)MathletesA copy machine used to be able to produce 70 copies per minute, but can now only produce 49 copies per minute. By what percent did its speed decrease?Solve the equation below for v:-239v-15=88It takes Sarah 413 minutes to complete five math problems. If an assignment has 9 problems, how many minutes will it take Sarah to complete the assignment? Which of the inequalities below is not true?a) -45≥-56b) -23≤-12c) -27≥-17d) -34≤-12The average of a, b, and c is -17. If a=15 and b= -29, what is c?What is the difference when -7x+3 is subtracted from 1-13x?Find the area:A mechanic charges an hourly rate of $24, plus the cost of any parts. If the mechanic spent $80 on parts and charged $356, how many hours did he work?After being marked up by 15%, a cell phone cost $103.50. How much did it cost before the markup?A helicopter was 38.3 feet above the rim of a canyon, and descended until it was 18.7 feet below the rim. What is the total distance that it traveled?a) 56 feetb) 18.6 feetc) 57 feetd) 19.6 feetGabby is picking strawberries for her fruit stand business. So far she has picked 2913 pounds of strawberries. If she is putting the strawberries into bags that hold 427 pounds of strawberries each, how many bags will she need?Use long division to convert -81011 to a decimal.Name________________________Date_______________7.G.1 Team____________Scale Drawings (Day 1)Exit TicketThe drawing of a building, shown below, has a scale of 2 inches to 8.5 feet.What is the actual height, in feet, of the house?(a) 8.5 (b) 17.0(c) 36.125(d) 72.25Ms. Tranquille is making a scale drawing of a famous building. In reality, the building is 108 meters tall. In her drawing, the building is 4 ? inches tall. How wide should the scale drawing be if the actual width is 48 meters? Name________________________Date_______________7.G.1 Team____________Scale Drawings (Day 1)HomeworkShemar, Jalil and Andres are drawing cartoons for the 8th grade yearbook. They make a sketch of a large poster, shown below:27527251308106 cm006 cm-12001578105001. Show work to determine the length of A & B:A)B)2. What scale factor did the boys use to create their sketch? Explain how you know.A blueprint is drawn so that 2 cm represents 3 feet of a new house. If the drawing of the kitchen is 7 cm long, how long is the actual kitchen?If a bedroom is 9 feet wide, how wide would the blueprint drawing have to be?A photo is reduced with a scale factor of 1 to 3. If the photo is now 4 inches wide, how wide was the original photo? Show the math.The scale on a map says that ? inch represents 3 miles. If two towns are 3 inches apart on the map, what is the actual distance between the two towns? ................
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