Understanding Scale Factors and Proportions

The video tutorial covers lesson 17 on using unit rate as a scale factor. It begins with an example of Jake's game icon to explain proportionality and the constant of proportionality. The tutorial provides steps to check proportionality in scaled drawings and compares two icons to determine proportionality. It explains the concept of scale factor and its implications, using examples like the flag of Columbia, a family portrait, and a dollhouse window to demonstrate scaling with different scale factors.

What does it mean for two objects to be proportional?

• They are the same size.

• They have a constant of proportionality.

• They have the same color.

• They are made of the same material.

How do you determine if a scaled drawing is proportional to the original?

• By checking if they have the same area.

• By comparing their colors.

• By measuring their weights.

• By calculating the constant of proportionality.

What does a scale factor greater than 1 indicate?

• A change in color.

• An enlargement.

• No change in size.

• A reduction in size.

If a scale factor is less than 1, what happens to the object?

• It changes shape.

• It remains the same size.

• It becomes larger.

• It becomes smaller.

What is the first step in creating a scale drawing using a scale factor?

• Draw freehand without measurements.

• Estimate the new dimensions.

• Measure the original dimensions.

• Change the color of the drawing.

How do you calculate the new dimensions using a scale factor?

• Add the scale factor to the original dimensions.

• Subtract the scale factor from the original dimensions.

• Multiply the original dimensions by the scale factor.

• Divide the original dimensions by the scale factor.

In the example of the family portrait, what was the scale factor used?

• 1/2

• 1/30

• 1/6

• 1/18

What is the result of applying a scale factor of 1/30 to a 5-foot diameter window?

• 5 feet

• 2 inches

• 1 foot

• 1/6 foot

What is the equivalent of one-sixth of a foot in inches?

• 3 inches

• 1 inch

• 4 inches

• 2 inches

What is the purpose of using a scale factor in drawings?

• To change the color of the drawing.

• To adjust the size proportionally.

• To simplify the drawing.

• To make the drawing more complex.