Understanding Ratios and Their Operations

In lesson 13, students learn to convert ratio tables into equations by understanding multiplicative relationships. The lesson explains how to simplify ratios, calculate unit rates, and verify patterns using multiplication and division. Students are guided to create equations using variables and to handle decimals in ratio tables. The video emphasizes the importance of understanding the relationship between hours worked and money made, providing practical examples and calculations to reinforce learning.

What is an equation in the context of ratio tables?

• A table with rows and columns

• A sentence with numbers and an equal sign

• A list of numbers

• A graph with axes

How can you simplify the ratio 2:24?

• Add 2 to both numbers

• Divide both numbers by 3

• Divide both numbers by 2

• Multiply both numbers by 2

What is the relationship between hours worked and money made in the first ratio table?

• Additive

• Subtractive

• Multiplicative

• Divisive

How do you find the number of hours worked if you know the money made?

• Multiply money made by 12

• Divide money made by 12

• Add 12 to money made

• Subtract 12 from money made

What is the unit rate for the second ratio table?

• $26.00 per hour

• $2.00 per hour

• $6.50 per hour

• $13.00 per hour

How do you verify the multiplicative pattern in a ratio table?

• By adding the numbers

• By dividing the numbers

• By multiplying the numbers

• By subtracting the numbers

What operation is used to work backwards from money made to hours worked?

• Addition

• Subtraction

• Multiplication

• Division

In the second ratio table, what is the result of dividing 13 by 2?

• 7.5

• 8.5

• 5.5

• 6.5

What is the inverse operation of multiplication in the context of ratio tables?

• Addition

• Subtraction

• Division

• Exponentiation

What is the purpose of scaling down a ratio?

• To make calculations easier

• To add complexity

• To increase the numbers

• To change the ratio