Understanding Constant of Proportionality

This lesson on proportional relationships covers the use of tables to understand quantities in proportional relationships. Key terms such as 'proportional relationship' and 'constant of proportionality' are introduced. Examples using paper towels, rice, and honey illustrate how to identify and calculate proportional relationships and unit rates. The lesson concludes with a recap of the concepts learned.

What is the primary focus of this lesson on proportional relationships?

• Understanding complex mathematical equations

• Using tables to reason about quantities

• Exploring non-proportional relationships

• Learning about historical mathematicians

In the paper towel example, how many rolls are in one case?

• 20 rolls

• 10 rolls

• 12 rolls

• 15 rolls

What is the constant of proportionality in the paper towel example?

• 15

• 12

• 10

• 20

How many people can be fed with one cup of rice according to the example?

• Two people

• Three people

• Four people

• Five people

What is the constant of proportionality in the rice example?

• 2

• 3

• 4

• 5

In the honey and flour example, what is the proportional relationship?

• Cups of sugar to tablespoons of honey

• Tablespoons of honey to cups of sugar

• Cups of flour to tablespoons of honey

• Tablespoons of honey to cups of flour

What is the constant of proportionality in the honey and flour example?

• 1

• 5/4

• 2

• 3/2

What does a proportional relationship imply about the ratios of quantities?

• They are sometimes equivalent

• They are never equivalent

• They are always equivalent

• They are always different

What is another term for the constant of proportionality?

• Fixed rate

• Unit rate

• Dynamic rate

• Variable rate

How can you find the constant of proportionality in a table?

• By dividing one quantity by the other

• By subtracting the quantities

• By adding the quantities

• By multiplying the quantities