IM 7.1.11 Lesson: Scales without Units
A map of a park says its scale is 1 to 100.
What do you think that means?[br]
Give an example of how this scale could tell us about measurements in the park.
Here is the Apollo Lunar Module. It is drawn at a scale of 1 to 50. The “legs” of the spacecraft are its landing gear. Use the applet to estimate the actual length of each leg on the sides. Write your answer to the nearest 10 centimeters.
[i]Explain [/i]how you estimated the actual length of each leg.
Use the applet of the Apollo Lunar Module. It is drawn at a scale of 1 to 50. Use the drawing to estimate the actual height of the Apollo Lunar Module to the nearest 10 centimeters. Show your reasoning or explain below.
[i]Explain [/i]how you estimated the actual height of the Apollo Lunar Module.
Neil Armstrong was 71 inches tall when he went to the surface of the Moon in the Apollo Lunar Module. How tall would he be in the drawing if he were drawn with his height to scale? Show your reasoning.
Explain how you determined Neil Armstrong's height in the drawing.[br][br]
Sketch a stick figure to represent yourself standing next to the Apollo Lunar Module. Make sure the height of your stick figure is to scale. Show how you determined your height on the drawing.
The table shows the distance between the Sun and 8 planets in our solar system.[br][img]data:image/png;base64,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[/img][br]If you wanted to create a scale model of the solar system that could fit somewhere in your school, what scale would you use?
Use the table above. [br]The diameter of Earth is approximately 8,000 miles. What would the diameter of Earth be in your scale model?
A rectangular parking lot is 120 feet long and 75 feet wide.[br][br][list][*]Lin made a scale drawing of the parking lot at a scale of 1 inch to 15 feet. The drawing she produced is 8 inches by 5 inches.[/*][*]Diego made another scale drawing of the parking lot at a scale of 1 to 180. The drawing he produced is also 8 inches by 5 inches.[br][br][/*][/list]Explain or show how each scale would produce an 8 inch by 5 inch drawing.[br]
Make another scale drawing of the same parking lot at a scale of 1 inch to 20 feet. Be prepared to explain your reasoning.
Express the scale of 1 inch to 20 feet as a scale without units. Explainyour reasoning.[br]
IM 7.1.11 Practice: Scales without Units
A scale drawing of a car is presented in the following three scales. Order the scale drawings from smallest to largest. [i]Explain [/i]your reasoning. (There are about 1.1 yards in a meter, and 2.54 cm in an inch.)[br][br] 1. 1 in to 1 ft[br] 2. 1 in to 1 m [br] 3. 1 in to 1 yd
Which scales are equivalent to 1 inch to 1 foot? Select [b]all [/b]that apply.
A model airplane is built at a scale of 1 to 72. If the model plane is 8 inches long, how many feet long is the actual airplane?
Quadrilateral A has side lengths 3, 6, 6, and 9. Quadrilateral B is a scaled copy of A with a shortest side length equal to 2. Jada says, “Since the side lengths go down by 1 in this scaling, the perimeter goes down by 4 in total.” Do you agree with Jada? Explain your reasoning. (Use the applet below to help you determine if you agree with Jada.)
Polygon B is a scaled copy of Polygon A using a scale factor of 5. Polygon A’s area is what fraction of Polygon B’s area?
Figures R, S, and T are all scaled copies of one another. Figure S is a scaled copy of R using a scale factor of 3. Figure T is a scaled copy of S using a scale factor of 2. Find the scale factor for the following:
From T to S[br]
From S to R
From R to T
From T to R