Exploring Ratios and Ratio Tables

This video tutorial introduces the concept of ratios, emphasizing the importance of note-taking. It explains different types of ratios, including part-to-part, part-to-whole, and whole-to-part ratios. The tutorial demonstrates how to use tape diagrams, ratio tables, and proportions to solve ratio problems, highlighting the significance of understanding patterns and the order of operations. The video concludes with practical examples to reinforce the strategies discussed.

What is a ratio?

• A mathematical operation

• A type of fraction

• A comparison of three quantities

• A relationship between two quantities

Which of the following is an example of a part-to-part ratio?

• 2 calculators to 8 items

• 6 pencils to 8 items

• 8 items to 2 calculators

• 2 calculators to 6 pencils

In a part-to-whole ratio, what does the 'whole' refer to?

• The total number of parts

• The average of the parts

• The largest part

• The smallest part

How many boxes would you draw for your friend's allowance if the ratio of your allowance to your friend's is 5 to 3?

• 2

• 8

• 5

• 3

If the total monthly allowance is $40 and the ratio of your allowance to your friend's is 5 to 3, how much is your allowance?

• $25

• $20

• $30

• $15

What is the first step in solving a ratio problem using a ratio table?

• Subtracting the values

• Finding the pattern through multiplication or division

• Drawing a diagram

• Adding the values

How do you find the pattern in a ratio table when values increase?

• By adding

• By subtracting

• By multiplying

• By dividing

In solving proportions, what is the first step after setting up the fractions?

• Adding the fractions

• Cross multiplying

• Simplifying the fractions

• Dividing the fractions

If the ratio of pop songs to rock songs is 5 to 4 and you listen to 40 pop songs, how many rock songs do you listen to?

• 20

• 50

• 40

• 32

If a store sells 2 printers for every 5 computers and sells 40 computers, how many printers does it sell?

• 20

• 16

• 10

• 8