Understanding Scale Drawings and Areas

This lesson on scale drawings covers how to choose a reasonable scale, calculate area from scale drawings, and interpret scale measurements. It includes practical examples using the map of California and a trapezoid shape. Students are tasked with creating their own scale drawings of objects in their environment, reinforcing the concepts of scale selection, area calculation, and measurement conversion.

What is one of the main objectives of this lesson on scale drawings?

• To learn how to draw animals

• To choose a reasonable scale for a drawing

• To practice handwriting

• To memorize historical dates

If California is 770 miles long, how many inches would it be on a map with a scale of 1 inch to 50 miles?

• 20 inches

• 25 inches

• 15.4 inches

• 10 inches

Why might a scale of 1 inch to 50 miles not be suitable for a notebook?

• It would be too small to see

• It would not fit in a typical notebook

• It would be too expensive

• It would be too colorful

What is the formula for the area of a trapezoid?

• Base times height

• Half times the sum of the bases times the height

• Sum of all sides

• Half times base times height

How can you calculate the area of a complex polygon?

• By using a calculator

• By ignoring the smaller parts

• By breaking it down into simpler shapes

• By measuring it directly

How can a scale of 1 inch to 60 inches be rewritten?

• 1 inch to 5 feet

• 1 inch to 12 feet

• 1 inch to 10 feet

• 1 inch to 6 feet

If a drawing shows a courtyard side as 2.75 inches, what is the actual length if the scale is 1 inch to 60 inches?

• 165 inches

• 200 inches

• 150 inches

• 180 inches

What happens to the scale drawing size when the scale is smaller?

• The drawing becomes smaller

• The drawing becomes larger

• The drawing disappears

• The drawing stays the same

What is a practical task suggested in the lesson?

• Drawing a map of the world

• Creating a scale drawing of a desk and items on it

• Building a model airplane

• Writing an essay

How does a scale of 1 inch to 12 feet compare to a scale of 1 inch to 5 feet?

• It is not a valid scale

• It is smaller

• It is larger

• It is the same size