Exploring Proportional and Nonproportional Relationships

The video tutorial focuses on teaching seventh graders about proportional and non-proportional relationships. It explains how to identify these relationships in tables and describes proportional relationships using equations. The tutorial includes practice problems and examples to help students understand the concept of constant proportionality and how to determine if a relationship is proportional or not. Students are encouraged to take notes and complete a practice worksheet to reinforce their learning.

What is the main focus of today's lesson?

• Identifying proportional and non-proportional relationships

• Learning about algebraic expressions

• Studying historical events

• Understanding geometric shapes

Which of the following is a method to determine if two quantities are proportional?

• Adding them together

• Dividing them and checking for a constant ratio

• Checking if they are prime numbers

• Subtracting one from the other

What is the constant of proportionality abbreviated as?

• COE

• COP

• COR

• COT

How do you determine if a relationship in a table is proportional?

• By dividing y by x and checking for consistency

• By subtracting y from x

• By multiplying the x and y values

• By adding the x and y values

If y divided by x is consistent across a table, what can we conclude?

• The relationship is non-proportional

• The relationship is proportional

• The relationship is linear

• The relationship is undefined

What is the constant of proportionality if y = 2x?

• 0.5

• 4

• 1

• 2

In a non-proportional relationship, what is missing?

• A variable

• A constant of proportionality

• An equation

• A table

If Alina earns $7 per hour babysitting, how much does she earn in 3 hours?

• $28

• $35

• $21

• $14

What is the cost of a pizza with 2 toppings if the base price is $10 and each topping costs $1.50?

• $12.50

• $13.50

• $13.00

• $11.50

Why is the relationship between the number of toppings and the total cost of the pizza non-proportional?

• Because the base price is added to the cost of toppings

• Because the toppings are free

• Because the base price is subtracted from the cost of toppings

• Because the cost of toppings decreases with each additional topping