Understanding Proportional Relationships

This lesson for grade seven students covers identifying proportional and non-proportional relationships in tables. It begins with an introduction to proportional relationships and unit rates, followed by examples such as babysitting pay, snowfall and time, movie rental costs, candy bar costs, and driving miles with gas usage. The lesson emphasizes using multiplication and division to determine proportionality and highlights the importance of consistent unit rates.

What is the key factor in determining if a relationship between two quantities is proportional?

• The sum of the quantities

• The difference between the quantities

• The unit rate of the quantities

• The product of the quantities

In the babysitting example, how much would you earn for working 3 hours?

• $40

• $32

• $24

• $16

Why is addition not used in determining proportional relationships?

• Because it changes the unit rate

• Because it is not taught in this lesson

• Because it is too complex

• Because it is not a mathematical operation

In the snowfall example, why is the relationship not proportional?

• The time is not measured

• The unit rate is consistent

• The unit rate varies

• The snowfall is constant

What is the unit rate for renting a movie per day?

• $2.00

• $1.00

• $3.00

• $0.33

How much does each pound of candy cost in the given example?

• $4

• $3

• $2

• $1

What operation is used to find the unit rate in the candy bar example?

• Multiplication

• Subtraction

• Division

• Addition

In the road trip example, how many miles can be driven per gallon of gas?

• 15 miles

• 20 miles

• 27 miles

• 30 miles

What is the common mistake people make when calculating proportional relationships in the road trip example?

• Using subtraction instead of division

• Using division instead of subtraction

• Using multiplication instead of addition

• Using addition instead of multiplication

What is the final step to ensure a relationship is proportional in the road trip example?

• Check if the unit rate is consistent

• Add all the values together

• Subtract the smallest value from the largest

• Multiply all values by the same number