IM 7.1.10 Lesson: Changing Scales in Scale Drawings
If a student uses a ruler like this to measure the length of their foot, which choices would be appropriate measurements? Select [b]all [/b]that apply. Be prepared to explain your reasoning.[br][br][img]data:image/png;base64,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[/img]
Here is a scale drawing of an average seventh-grade student's foot next to a scale drawing of a foot belonging to the person with the largest feet in the world. Estimate the length of the larger foot.[br][br][img]data:image/png;base64,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[/img]
Here is a map showing a plot of land in the shape of a right triangle.
Your teacher will give you some information about the map and assign you a scale to use. Write this information in the space below.[br]
On centimeter graph paper, make a scale drawing of the plot of land. Make sure to write your scale on your drawing.
What is the area of the triangle you drew? Explain or show your reasoning.
How many square meters are represented by 1 square centimeter in your drawing?
After everyone in your group is finished, order the scale drawings from largest to smallest. What do you notice about the scales when your drawings are placed in this order?
[size=150]Noah and Elena each make a scale drawing of the same triangular plot of land, using the following scales. Make a prediction about the size of each drawing. How would they compare to the scale drawings made by your group?[/size][br][br]Noah uses the scale 1 cm to 200 m.
Elena uses the scale 2 cm to 25 m.
Here is a scale drawing of a playground. The scale is 1 centimeter to 30 meters. Make another scale drawing of the same playground at a scale of 1 centimeter to 20 meters.
How do the two scale drawings compare?
IM 7.1.10 Practice: Changing Scales in Scale Drawing: I
Here is a scale drawing of a swimming pool where 1 cm represents 1 m.
How long and how wide is the actual swimming pool?
Will a scale drawing where 1 cm represents 2 m be larger or smaller than this drawing?
Make a scale drawing of the swimming pool where 1 cm represents 2 m.
A map of a park has a scale of 1 inch to 1,000 feet. Another map of the same park has a scale of 1 inch to 500 feet. Which map is larger? Explain or show your reasoning.
On a map with a scale of 1 inch to 12 feet, the area of a restaurant is 60 in² Han says that the actual area of the restaurant is 720 ft². Do you agree or disagree? Explain your reasoning.
If Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3, what is the perimeter of Q?
[size=150]Triangle [math]DEF[/math] is a scaled copy of triangle [math]ABC[/math]. For each of the following parts of triangle [math]ABC[/math], identify the corresponding part of triangle [math]DEF[/math].[/size][br][br][img]data:image/png;base64,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[/img][br][br]angle [math]ABC[/math][br]
angle [math]BCA[/math][br]
segment [math]AC[/math][br]
segment [math]BA[/math][br]