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

Tags

CCSS.7.G.A.1

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

• A landscape painting

• A floor plan

• A digital rendering

• A portrait

Tags

CCSS.7.G.A.1

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

Tags

CCSS.6.RP.A.3B

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

Tags

CCSS.7.G.A.1

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

Tags

CCSS.7.G.A.1

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

Tags

CCSS.7.G.A.1

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

Tags

CCSS.7.G.A.1

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

Tags

CCSS.7.G.A.1

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

Tags

CCSS.7.G.A.1

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

Tags

CCSS.7.G.A.1