Proportional Relationships in Graphs

The video lesson covers identifying proportional and non-proportional relationships in graphs. It begins with an introduction and a review of proportional relationships in tables. The lesson then moves to an exploratory challenge where students create a proportional table and graph it. Two examples are provided: one with a non-proportional graph and another comparing proportional and non-proportional graphs. The lesson concludes with a homework assignment to reinforce the concepts learned.

What is the primary focus of lesson five?

• Identifying proportional and non-proportional relationships in graphs

• Understanding geometric shapes

• Learning about algebraic equations

• Studying historical events

How do you determine if a table is proportional?

• By multiplying x and y

• By subtracting x from y

• By dividing y by x to find a constant

• By adding the x and y values

In the candy bar example, why was the table not proportional?

• The constants were different

• The x values were incorrect

• The y values were too high

• The table was incomplete

What is a key characteristic of a proportional graph?

• It is a straight line through the origin

• It forms a circle

• It is a curved line

• It has no specific pattern

When plotting a proportional relationship, what should the graph pass through?

• The point (1,1)

• The point (0,0)

• The point (2,2)

• The point (3,3)

What happens when you connect points from a non-proportional table?

• They form a circle

• They do not form a straight line

• They form a zigzag pattern

• They form a straight line

In example two, why is the graph non-proportional despite being a straight line?

• It is too steep

• It is too short

• It has too many points

• It does not pass through the origin

What is a similarity between the graphs in example one and two?

• Both graphs have points that can be connected by a line

• Both graphs pass through the origin

• Both graphs are proportional

• Both graphs are curved

What is a difference between the graphs in example one and two?

• Example one has more points than example two

• Example one is non-proportional, example two is proportional

• Example one goes through the origin, example two does not

• Example one is a straight line, example two is not

What must a graph do to be considered proportional?

• Be a curved line and pass through the origin

• Be a straight line and pass through the origin

• Be a curved line and not pass through the origin

• Be a straight line and not pass through the origin