Exploring Equivalent Ratios for Grade 6

This video tutorial covers the concept of equivalent ratios, starting with a basic introduction to ratios. It explains how to create equivalent ratios using multiplication and division, and how to find missing numbers in a set of equivalent ratios. The lesson concludes with applying these concepts to solve word problems, emphasizing the importance of understanding and practicing these skills.

What is a ratio?

• A method for solving equations

• A type of mathematical operation

• A special kind of fraction

• A comparison between two numbers

Which operations are allowed when creating equivalent ratios?

• Addition and subtraction

• Multiplication and division

• Only multiplication

• Only division

What must be true for two ratios to be considered equivalent?

• They must be reducible to the same fraction

• They must have the same denominator

• They must sum to the same total

• They represent the same comparison

If the ratio 3:1 is scaled by a factor of 2, what is the new ratio?

• 6:3

• 6:2

• 9:3

• 3:2

If you multiply the numerator and denominator of a ratio by the same number, what happens to the ratio?

• It becomes an equivalent ratio

• It changes to a non-equivalent ratio

• It becomes a fraction

• It reduces to its simplest form

How do you find a missing number in an equivalent ratio problem?

• Use the known ratio to find the multiplier

• Divide the larger known number by the smaller one

• Add the known numbers

• Guess and check different values

What is the correct equivalent ratio of 4:2 when multiplied by 4?

• 12:6

• 16:6

• 8:4

• 16:8

What is the equivalent ratio of 1:4 when scaled by 4?

• 1:4

• 4:16

• 5:20

• 4:12

In a word problem involving ratios of ingredients, how do you determine the amount needed for a different quantity?

• Change the ratio to fit the new quantity

• Use the original ratio and scale up

• Use subtraction to find the difference

• Estimate based on previous results

What should you always include when solving homework problems on equivalent ratios?

• The original and final ratios

• Your name and date

• The operations used to find the equivalent ratios

• A summary of the lesson