Exploring Scale Drawings and Models

This video tutorial explains how to find desired measurements in scale drawings and models. It covers setting up scales as ratios and using proportions to convert between drawing, model, and real-life dimensions. Through various examples, the video demonstrates solving proportions using cross products and emphasizes the importance of matching units correctly.

What is the first step in working with scale drawings and models?

• Measuring the real-life object

• Drawing the actual model

• Calculating the cross products

• Setting up the scale as a ratio

Tags

CCSS.7.G.A.1

What is the purpose of setting up a scale as a ratio in scale drawings?

• To simplify the drawing process

• To establish a reference for measurements

• To reduce the size of the drawing

• To increase the accuracy of the drawing

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CCSS.7.G.A.1

What does a scale of 3 inches to 10 feet imply in a scale drawing?

• The drawing is ten times larger than the real object

• The drawing is three times smaller than the real object

• Every 10 feet in real life is reduced to 3 inches on the drawing

• Every 3 inches on the drawing represents 10 feet in real life

Tags

CCSS.7.G.A.1

If a drawing measures 24 inches and the scale is 3 inches to 10 feet, what is the real-life measurement?

• 72 feet

• 80 feet

• 90 feet

• 100 feet

Tags

CCSS.7.G.A.1

How is the scale ratio used in solving proportions in scale drawings?

• To calculate the real-life measurements

• To determine the size of the drawing

• To compare different scale models

• To align the drawing with the model

Tags

CCSS.7.G.A.1

How do you convert a real-life measurement to a scale model measurement?

• Divide by the scale ratio

• Multiply by the scale ratio

• Subtract the scale ratio

• Use cross multiplication

Tags

CCSS.7.G.A.1

Why is it important to match measurements horizontally when setting up proportions?

• To ensure accuracy

• All of the above

• To follow mathematical rules

• To simplify calculations

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CCSS.7.RP.A.2C

What should you do if converting a fraction to a decimal requires rounding?

• Estimate the decimal

• Use the fraction instead

• Always round down

• Always round up

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

In a scale model, if 0.5 inches represents 3 feet, how many feet does 4.5 inches represent?

• 30 feet

• 45 feet

• 27 feet

• 15 feet

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CCSS.6.RP.A.3B

What is the result of dividing by 0.5 in the context of scale models?

• Maintaining the same value

• Halving the value

• Tripling the value

• Doubling the value

Tags

CCSS.6.RP.A.3B