Scale Factors and Proportionality Concepts

In this lesson, Mr. Hul explains the concept of unit rate as a scale factor. The lesson includes examples such as Jake's game and a family portrait to illustrate proportionality and scaling. Key steps for checking proportionality are outlined, and exercises are provided to reinforce the concepts. The lesson emphasizes the importance of maintaining consistent scale factors across all dimensions to ensure proportionality.

What is the main purpose of using a unit rate as a scale factor in Jake's game example?

• To change the game's theme

• To decrease the size of the game

• To ensure the stickers are proportional to the original sketch

• To increase the game's difficulty

When calculating the scale factor, what is the value of k if the original dimension is 1 and the scaled dimension is 2?

• 2

• 1

• 3

• 0.5

Which step is NOT part of checking proportionality?

• Recording the lengths of the scale drawing

• Calculating the constant of proportionality

• Changing the original dimensions

• Recording the corresponding lengths on the actual object

In the app icon exercise, what is the significance of the scale factor being less than one?

• It indicates a negative scale

• It indicates no change

• It indicates a reduction

• It indicates an enlargement

What is the scale factor if the original portrait is 3 feet by 3 feet and the scaled version is 1/18th of a foot?

• 1/3

• 1/18

• 1/9

• 1/6