Understanding Proportions and Scale Factors

The video reviews solving proportions, focusing on scale factors as a more efficient method than cross-multiplying. It explains the difference between 'between' and 'within' scale factors and demonstrates these concepts through example problems. The video emphasizes understanding math vocabulary and encourages using estimation and reasoning skills.

What is a proportion?

• A comparison between two unlike things

• A special kind of ratio

• Two equivalent ratios

• A comparison between two numbers

Which of the following is an example of a rate?

• 5 to 10

• 5 miles per 10 gummy bears

• Miles per gallon

• 5 girl students to 10 boy students

What is a scale factor?

• A number that is multiplied to get another number

• A number that is added to get another number

• A number that is subtracted to get another number

• A number that is divided to get another number

Why is it important to draw arrows when solving proportions?

• To make the problem more complex

• To avoid multiplying the wrong numbers

• To make the solution look neat

• To show the teacher your work

What is a 'between' scale factor?

• A factor used to add two numbers

• A factor used within one ratio

• A factor used between two ratios

• A factor used to divide two numbers

What is a 'within' scale factor?

• A factor used to add two numbers

• A factor used to divide two numbers

• A factor used between two ratios

• A factor used within one ratio

What is the result of cross multiplying 10 and 35, then dividing by 5?

• 7

• 35

• 350

• 70

How can you solve a proportion more efficiently than cross multiplying?

• By finding a scale factor

• By guessing the answer

• By adding the numbers

• By using a calculator

In the example 5 to 10 is equal to 35 to x, what is the scale factor from 5 to 35?

• 35

• 5

• 7

• 10

What is the scale factor from 5 to 25 in the example given?

• 7

• 10

• 5

• 2