Proportional vs Nonproportional Relationships

The lesson covers identifying proportional and nonproportional relationships using tables and graphs. Students engage in a gallery walk to create tables and graphs for given ratios, determining if they are proportional. Proportional relationships are identified by a constant multiplier, resulting in a straight line through the origin on a graph. Nonproportional relationships lack a consistent multiplier and do not form a straight line through the origin. The lesson emphasizes recognizing these patterns in tables and graphs.

What activity did students perform to understand proportional and nonproportional relationships?

• They wrote essays.

• They conducted a gallery walk.

• They solved equations.

• They watched a documentary.

What is the key feature of a proportional relationship in a table?

• A constant division.

• A constant multiplier.

• A constant subtraction.

• A constant addition.

In a proportional relationship, if you multiply 1 by 6 to get 6, what should you multiply 2 by to maintain proportionality?

• 3

• 6

• 12

• 18

Why is the example with constants 6, 5, and 8 considered nonproportional?

• The constants are negative.

• The constants are different.

• The constants are all the same.

• The constants are zero.

What is a characteristic of a graph representing a proportional relationship?

• It forms a curve.

• It starts at the origin and is a straight line.

• It has multiple lines.

• It forms a circle.

What happens to the y-value in a proportional relationship when the x-value is zero?

• It becomes undefined.

• It becomes zero.

• It becomes negative.

• It becomes positive.

If a graph does not start at the origin, what type of relationship does it likely represent?

• Linear

• Exponential

• Proportional

• Nonproportional

In a nonproportional graph, what is a common feature of the plotted points?

• They form a straight line.

• They are scattered and do not form a straight line.

• They form a perfect circle.

• They are all at the origin.

What is the significance of a line of best fit in a nonproportional graph?

• It shows the exact relationship.

• It approximates the trend of the data.

• It is not used in nonproportional graphs.

• It indicates a proportional relationship.

What are the two key indicators of a proportional relationship on a graph?

• A curve and a starting point at the origin.

• A straight line and a starting point at the origin.

• A scattered plot and a starting point at the origin.

• A straight line and a starting point away from the origin.