7.7 scale drawings and models 2016 ink.notebook. February 09, Page 53 Page Scale Drawings and Models. Standards. Page 55.

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1 7.7 scale drawings and models 6 ink.notebook Page Page 7.7 Scale Drawings and Models Page Page 6 Lesson Objectives Standards Lesson Notes 7.7 Scale Drawings and Models Press the tabs to view details.

2 7.7 scale drawings and models 6 ink.notebook Lesson Objectives Press the tabs to view details. Standards Lesson Notes After this lesson, you should be able to successfully use proportions to find the dimensions of a scale model or an actual object being modeled. Lesson Objectives Standards Lesson Notes G.SRT. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. G.SRT. Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. G.MG. Apply geometric methods to solve design problems. You Need a ruler! And you need to know how to measure in INCHES! Measure these segment to the nearest sixteenth of an inch! Now practice changing fractions to decimals! Convert the above measures into decimals!

3 7.7 scale drawings and models 6 ink.notebook Scale Models A scale model or a scale drawing is an object or drawing with lengths to the object it represents. The of a model or drawing is the ratio of the length of the model or drawing to the actual length of the object being modeled or drawn. A Scale can have two different units.like in. = miles. (Scale is not same as scale factor!) The of a drawing or scale model is the scale written as a unitless ratio in common units. Scale factors are always written so that the length in the ratio comes. In a SCALE FACTOR You must have common units then REDUCE!!

4 7.7 scale drawings and models 6 ink.notebook inch = miles A scale has labels. (can be different) To find the actual distance measure in inches then use a proportion with the scale. Scale factor: Get common units and REDUCE If a statue is feet tall and Gerry makes a model of it that is 8 inches tall...find the scale (with units, reduce)...find the scale factor (common units, reduce) Example: A doll house that is inches tall is a scale model of a real house with a height of feet. a. What is the scale of the model? (To find the scale, write the ratio of a model length to an actual length.) b. How many times as tall as the actual house is the model? (Multiply the scale of the model by a conversion factor that relates inches to feet to obtain a unitless ratio.)

5 7.7 scale drawings and models 6 ink.notebook. The Tokyo Tower in Japan is currently the world's tallest self supporting steel tower. It is meters tall. Heero builds a model of the Tokyo Tower that is 77 millimeters tall. What is the scale factor of Heero's model? (model to real, common units, reduced). An architect prepared a inch model of a skyscraper to look like a real foot building. What is the scale factor of the model compared to the whole building?. The Eiffel tower in Paris, France, is 986 feet tall, not including its antenna. A replica of the Eiffel Tower was built as a ride in an amusement park. If the scale factor of the actual tower to the replica is approximately :, how tall is the ride?. A boxcar on a train has a length of feet and a width of 9 feet. A scale model is made with a length of 6 inches. Find the width of the model.

6 7.7 scale drawings and models 6 ink.notebook Example: The scale on the map shown is.7 inches : 6 miles. Find the actual distance from Pineham to Menlo Fields. Use a ruler. The distance between Pineham and Menlo Fields is about ches. Write and solve a proportion. Let x represent the distance between cities x = So the actual distance between Pineham and Menlo Fields is les. 8 Use the map and a customary ruler to find the actual distance between each pair of cities. Measure to the nearest sixteenth of an inch. Use the map and a customary ruler to find the actual distance between each pair of cities. Measure to the nearest sixteenth of an inch.. Eastwich and Needham Beach: 6. North park and Eastwich:

7 7.7 scale drawings and models 6 ink.notebook On the Worksheet. MODEL TRAIN The length of a model train is 8 inches. It is a scale model of a train that is 8 feet long. Find the scale factor. (common units reduced) HOMEWORK 7.7 Practice on Scale Drawings and Models 7

8 7.7 scale drawings and models 6 ink.notebook. ART An artist in Portland, Oregon, makes bronze sculptures of dogs. The ratio of the height of a sculpture to the actual height of the dog is :. If the height of the sculpture is inches, find the height of the dog.. BRIDGES The span of the Benjamin Franklin suspension bridge in Philadelphia, Pennsylvania, is 7 feet. A model of the bridge has a span of inches. What is the ratio of the span of the model to the span of the actual Benjamin Franklin Bridge? (common units reduced.). MAPS Carlos makes a map of his neighborhood for a presentation. The scale of his map is inch: feet. a) How many feet do inches represent on the map? Use the map and a customary ruler to find the actual distance between each pair of cities. Measure to the nearest sixteenth of an inch.. Port Jacob and Southport: b) Carlos lives feet away from Andrew. How many inches separate Carlos' home from Andrew's on the map? 6. Eastport and Sand Dollar Reef:

9 7.7 scale drawings and models 6 ink.notebook 7. SCALE MODEL Sanjay is making a 9 centimeters long scale model of the Parthenon for his World History class. The actual length of the Parthenon is 69. meters long. What is the scale of the model? (model to actual with labels, reduced) 8. PUPPIES Meredith's new Pomeranian puppy is 7 inches tall and 9 inches long. She wants to make a drawing of her new Pomeranian to put in her locker. If the sheet of paper she is using is inches by inches, Is ½ an appropriate scale factor for Meredith to use in her drawing? 9. ARCHITECTURE An architect is making a scale model of an office building he wishes to construct. The model is 9 inches tall. The actual office building he plans to construct will be 7 feet tall. Use the map and a customary ruler to find the actual distance between each pair of cities. Measure to the nearest sixteenth of an inch.. Highland Park and Metuchen: a) What is the scale of the model? (model to real use units) b) What scale factor did the architect use to build his model? (get common units reduce!). New Brunswick and Robinvale:

10 7.7 scale drawings and models 6 ink.notebook. ENGINEERING A civil engineer is making a scale model of a highway on ramp. The length of the model is inches long. The actual length of the on ramp is feet. a) What is the scale of the model?. PHOTOGRAPHS Tracy is feet tall and her father is 6 feet tall. In a photograph of the two of them standing side by side, Tracy's image is inches tall. Although their images are much smaller, the ratio of their heights remains the same. How tall is Tracy's father's image in the photo? b) How many times as long as the actual on ramp is the model? Answers: