Proportional Graphs and Tables Challenge

The video tutorial explains the characteristics of proportional graphs and tables, emphasizing the need for a constant rate and starting at the origin. It provides examples of both proportional and non-proportional graphs and tables, highlighting the importance of a constant ratio in tables. The tutorial aims to help students identify and understand proportional relationships in mathematical representations.

What are the two key characteristics of a proportional graph?

• It must have a constant rate and start at any point.

• It must have a variable rate and start at any point.

• It must have a variable rate and start at the origin.

• It must have a constant rate and start at the origin.

Where is the origin located on a graph?

• At point (1,1)

• At point (0,0)

• At point (1,0)

• At point (0,1)

What is a key feature of proportional graphs?

• They start at the origin and have a constant rate.

• They start at any point and have a variable rate.

• They start at the origin and have a variable rate.

• They start at any point and have a constant rate.

Why is the first example of a non-proportional graph not proportional?

• It does not start at the origin and has a variable rate.

• It does not start at the origin but has a constant rate.

• It starts at the origin but has a variable rate.

• It starts at the origin and has a constant rate.

Why is the second example of a non-proportional graph not proportional?

• It does not start at the origin and has a variable rate.

• It starts at the origin and has a constant rate.

• It does not start at the origin but has a constant rate.

• It starts at the origin but the rate changes.

What must be true for a table to be proportional?

• It must have a constant ratio for every row.

• It must have a variable ratio for every row.

• It must start at the origin and have a variable ratio.

• It must start at any point and have a constant ratio.

In a proportional table, what is the relationship between the numbers in each row?

• They must have a constant ratio.

• They must have a variable ratio.

• They must be equal.

• They must be different.

Why is the first example of a non-proportional table not proportional?

• It has a constant ratio.

• It has a y-intercept of 0 and goes through the origin.

• It has a y-intercept of 20 and does not go through the origin.

• It has a variable ratio.

What is the scale factor in the first row of the second non-proportional table example?

• 10

• 4

• 5

• 8

Why is the second example of a non-proportional table not proportional?

• It has different scale factors in different rows.

• It has the same scale factor in all rows.

• It has a constant ratio.

• It starts at the origin.