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 all that apply. Be prepared to explain your reasoning.
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.
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.
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?
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? 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?