Exploring 0.6 Scale Drawings and Models

The video tutorial introduces the concept of scale drawings and models, using examples like model cars and maps to explain how objects are represented proportionally. It covers the calculation of actual sizes from scale drawings using ratios and proportions, provides step-by-step examples, and offers practice problems for students. The tutorial also explains how to find unknown scales in drawings and models, ensuring students understand the application of these concepts.

What is a scale drawing or model used for?

• To represent an object that is too big or too small to be shown in its actual size

• To change the color of an object

• To create a new design for an object

• To measure the weight of an object

What is the ratio of the size of the model to the actual size called?

• Factor

• Proportion

• Scale

• Dimension

Tags

CCSS.7.G.A.1

If 2 inches on a drawing represents 7 feet in reality, what is the actual length of a pool if its drawing length is 10 inches?

• 20 feet

• 35 feet

• 50 feet

• 70 feet

Tags

CCSS.6.RP.A.3B

In a house blueprint, 1.5 inches represents 2 feet. If the actual living room is 18 feet long, what is its length on the blueprint?

• 15 inches

• 13.5 inches

• 12 inches

• 9 inches

Tags

CCSS.7.G.A.1

A model car is 2.25 inches long and represents 3 feet. If the model is 14 inches long, what is the actual length of the car?

• 28 feet

• 24 feet

• 21 feet

• 18.67 feet

Tags

CCSS.7.G.A.1

If 2 inches on a map represents 125 miles, how many miles are represented by 4.75 inches?

• 200 miles

• 296.88 miles

• 250 miles

• 350 miles

Tags

CCSS.6.RP.A.3B

A model airplane uses 5 inches to represent 40 feet. If the actual airplane is 197 feet, how many inches is the model?

• 20 inches

• 24.63 inches

• 30 inches

• 35 inches

Tags

CCSS.6.RP.A.3B

If 3 inches on a model represents 20 feet, how tall is the actual building if the model is 5 feet tall?

• 400 feet

• 100 feet

• 200 feet

• 300 feet

Tags

CCSS.7.G.A.1

To find the scale of a drawing, what should you do after writing the ratio of the model length to the actual length?

• Multiply the ratio by 10

• Add the model length to the actual length

• Simplify the ratio so that the numerator is one

• Subtract the model length from the actual length

Tags

CCSS.7.G.A.1

If a model length is 9 inches and the actual length is 45 feet, what is the scale?

• 1 inch represents 3 feet

• 1 inch represents 9 feet

• 1 inch represents 5 feet

• 1 inch represents 7 feet

Tags

CCSS.7.G.A.1