Solving Ratio Problems Using Tables

The video tutorial introduces the concept of ratios and equivalent ratios, explaining how they can be used to solve problems. It demonstrates the use of tables to find missing values in ratio problems, using a practical example involving books and DVDs. The tutorial further explores additive and multiplicative reasoning, showing how these methods can simplify the process of solving ratio problems. By the end of the lesson, viewers will understand how to set up and solve ratio problems using tables and different reasoning methods.

What is the key idea behind equivalent ratios?

• They cannot be expressed in groups.

• They are different from equivalent fractions.

• They express the same relationship as equivalent fractions.

• They are always greater than 1.

In the example of books and DVDs, what is the initial ratio given?

• 3:2

• 2:1

• 1:2

• 2:3

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

• 20 DVDs

• 15 DVDs

• 5 DVDs

• 10 DVDs

What is additive reasoning in the context of ratios?

• Subtracting a fixed number from each group.

• Adding the same number to both sides of the ratio.

• Multiplying each group by a fixed number.

• Increasing each group by a fixed amount.

What is the advantage of multiplicative reasoning over additive reasoning?

• It is slower but more accurate.

• It is faster and more efficient.

• It requires more steps.

• It is only applicable to fractions.

How can you quickly find the number of DVDs if you know the number of books using multiplicative reasoning?

• Divide the number of books by the ratio.

• Subtract the ratio from the number of books.

• Multiply the ratio by the number of groups.

• Add the number of books to the ratio.

What operation is multiplicative reasoning based on?

• Addition

• Subtraction

• Multiplication

• Division