Exploring Scale Drawings in Grade 7 Mathematics

This video tutorial explains scale drawings, which are two-dimensional representations of real objects or places. It covers the concept of scale factors, providing examples with maps and signs. The video also demonstrates how to create scale drawings, discusses different ways to express scales, and explains unitless scale drawings. The tutorial concludes with a summary of the key points discussed.

What is a scale drawing?

• A digital photograph

• A two-dimensional representation of an actual object or place

• A type of artistic painting

• A three-dimensional model of an object

Which of the following is an example of a scale drawing?

• A landscape painting

• A floor plan

• A digital rendering

• A portrait

If a map scale is 1 inch to 20 miles, how many miles does 4 inches represent?

• 20 miles

• 1 mile

• 80 miles

• 4 miles

In a scale drawing of a stop sign, if the segment represents 25 cm, what is the actual width of the sign when the drawing shows it as three times the segment length?

• 25 cm

• 50 cm

• 75 cm

• 100 cm

How tall is the post in real life if the scale segment represents 25 cm and the drawing shows the post as eight times the segment length?

• 25 cm

• 200 cm

• 100 cm

• 50 cm

What happens to the size of a scale drawing if the scale is changed from 1 inch to 4 feet to 1 inch to 8 feet?

• It remains the same size

• It becomes larger

• It becomes smaller

• It becomes a three-dimensional model

If a room's back wall is 23 feet long, how long should it be on a drawing with a scale of 1 inch to 4 feet?

• 5.75 inches

• 23 inches

• 4 inches

• 9.25 inches

What does a scale of 1 to 1000 mean in a map?

• 1 inch represents 1000 miles

• 1 inch represents 1000 yards

• 1 inch represents 1000 inches

• 1 inch represents 1000 feet

If 12 cm on a map represents 12,000 cm in real life, what is the scale of the map?

• 1 to 10000

• 1 to 10

• 1 to 1000

• 1 to 100

What is the scale factor that relates the actual distance to its corresponding distance on a drawing for a scale of 1 to 1000?

• 1 over 10

• 1 over 100

• 1 over 1000

• 1 over 10000