Exploring Equivalent Ratios with Ratio Tables

The video tutorial introduces the concept of equivalent ratios, explaining that they are two or more ratios that show the same relationship. It demonstrates how to find equivalent ratios by multiplying or dividing each part of a ratio by the same number, similar to finding equivalent fractions. The tutorial uses ratio tables to organize equivalent ratios and provides examples with dogs to cats and pens to pencils ratios. A word problem involving pizza toppings is also solved using equivalent ratios.

What is an equivalent ratio?

• A ratio that represents the same relationship as another by multiplying or dividing its terms by the same number

• A ratio that is larger than another ratio

• A ratio that is smaller than another ratio

• A ratio that is reduced to its simplest form

How can equivalent ratios be found?

• By multiplying or dividing each part of the ratio by the same number

• By adding the same number to each part of the ratio

• By subtracting the same number from each part of the ratio

• By comparing ratios to a standard ratio

What is the purpose of using a ratio table?

• To subtract values from ratios

• To add complexity to simple ratios

• To organize and find equivalent ratios easily

• To create ratios that are not equivalent

If the ratio of dogs to cats is 4 to 6, what is an equivalent ratio?

• 5 to 10

• 8 to 12

• 10 to 15

• 2 to 3

How do you find an equivalent ratio by division?

• Divide the first term by 3 and the second term by 2

• Divide each term by the same number

• Divide the first term by 2 and the second term by 3

• Multiply each term by the same number

In the context of pens to pencils, if you have 1 pen and 3 pencils, what happens when you double the number of pens?

• You have four pencils

• You have six pencils

• You triple the number of pencils

• You double the number of pencils

What is the equivalent ratio if you multiply both terms of the ratio 4 to 6 by 3?

• 24 to 36

• 8 to 12

• 12 to 36

• 12 to 18

What is the correct way to maintain the ratio when increasing the quantity in a ratio table?

• Multiply only one term of the ratio

• Add the same number to both terms of the ratio

• Multiply or divide both terms of the ratio by the same number

• Divide only one term of the ratio

If the ratio of pepperoni to sausage on a pizza is 5 to 3 and you put 12 sausages, how many pepperonis do you need?

• 25 pepperonis

• 15 pepperonis

• 20 pepperonis

• 10 pepperonis

What does multiplying by 4 in the context of the pizza topping problem indicate?

• The factor by which the amount of sausage has increased

• The decrease in the amount of pepperoni

• The increase in the amount of sausage

• The number of pizzas