Solving Ratio Problems Using Multiplicative Reasoning

This video tutorial teaches how to solve ratio problems using multiplicative reasoning. It begins with an introduction to the concept of ratios and equivalent ratios, highlighting common mistakes in problem setup. The tutorial then presents a scenario involving books and DVDs to demonstrate the application of these concepts. By using multiplicative reasoning, viewers learn to solve for missing values in ratio problems. The video concludes with a recap of the key points covered.

What is the key idea that allows us to solve ratio problems using multiplicative reasoning?

• Ratios can have equivalent ratios.

• Ratios are always greater than one.

• Ratios cannot be simplified.

• Ratios are the same as percentages.

What is a common mistake when setting up ratio problems?

• Using a table to organize information.

• Using a calculator for simple calculations.

• Solving the problem too slowly.

• Confusing the rows for different categories.

In the example problem, what is the ratio of books to DVDs?

• 2 to 3

• 5 to 1

• 3 to 2

• 1 to 5

How many DVDs does Andy have if he has 15 books?

• 15 DVDs

• 10 DVDs

• 20 DVDs

• 5 DVDs

What method is used to verify the solution in the example problem?

• Checking with a friend.

• Rewriting the problem.

• Drawing a diagram.

• Using a calculator.

What is the constant factor used in the multiplicative reasoning for the example problem?

• 15

• 3

• 5

• 10

What is the final step to ensure the solution is reasonable?

• Mentally or visually check the groups.

• Ask a teacher for confirmation.

• Use a computer to verify.

• Recalculate using a different method.