Understanding Scale Factors and Proportions

This video tutorial explains how to find the scale factor and constant of proportionality using division. It begins with an introduction to scale factors using a bedroom floor plan example, followed by a detailed explanation of ratios and proportions. The tutorial then demonstrates how to calculate the scale factor by dividing the dimensions of scaled figures. It also covers the concept of the constant of proportionality and provides practical examples to reinforce understanding. Finally, the video addresses common misunderstandings about scale factors, emphasizing the importance of multiplication over addition.

What is a ratio?

• A comparison of two or more quantities

• A mathematical statement of equality

• A method to solve equations

• A number by which dimensions are multiplied

How do you find the scale factor of a drawing?

• By subtracting the dimensions

• By dividing the dimensions

• By multiplying the dimensions

• By adding the dimensions

What is the constant of proportionality?

• A number that varies for each ratio

• A constant value for all equivalent ratios

• A method to add dimensions

• A tool for drawing scale models

In a scale drawing, what remains the same for any dimension?

• The constant of proportionality

• The length

• The color

• The width

What is a common misunderstanding about scale factor?

• It is always less than 1

• It involves addition rather than multiplication

• It is the same as a ratio

• It only applies to length

How is the larger rectangle related to the smaller one in terms of scale factor?

• It is three times the size of the smaller rectangle

• It is half the size of the smaller rectangle

• It is twice the size of the smaller rectangle

• It is the same size as the smaller rectangle

What should you remember about the scale factor in terms of dimensions?

• It is half the length and width

• It is three times the length and width

• It is the same length and width

• It is twice the length and width