Identifying Proportional Relationships

The lesson covers identifying proportional and non-proportional relationships through graphs and tables. It begins with a review of graphing in the first quadrant, followed by an analysis of movie rental costs to determine proportionality. Students learn to graph data and identify proportional relationships by checking for a straight line through the origin. The lesson also examines non-proportional relationships using candy sales data. Students are tasked with writing about how to identify proportional relationships in graphs.

What is the main focus of tonight's lesson?

• Exploring geometric shapes

• Understanding the Pythagorean theorem

• Learning about quadratic equations

• Identifying proportional and non-proportional relationships and graphs

Where is the origin located on a graph?

• At the point (0,0)

• At the point (1,1)

• At the point (1,0)

• At the point (0,1)

In the context of renting movies, what determines if the cost is proportional to the number of days rented?

• The cost increases exponentially

• The cost decreases over time

• A constant can be found that relates days to cost

• The cost remains constant regardless of days

How can you determine if two quantities are proportional?

• By finding a constant that relates them

• By checking if they are both even numbers

• By ensuring they are both positive

• By comparing their sizes

What does a graph of a proportional relationship look like?

• A horizontal line

• A curved line

• A zigzag pattern

• A straight line through the origin

In the candy bars example, why is the relationship not proportional?

• The money received is always the same

• There is no constant that relates candy bars to money received

• The number of candy bars sold is too high

• The candy bars are sold at a discount

What is a key characteristic of a non-proportional graph?

• It forms a perfect circle

• It does not pass through the origin

• It is always a straight line

• It has no points

What should you be ready to share in class tomorrow?

• A summary of the lesson

• A drawing of a graph

• A write-up on identifying proportional relationships in graphs

• A list of favorite movies