Proportional VS. Nonproportional Relationships

What is a Ratio?

• A comparison of two quantities 
• To multiply two fractions 
• A number over another number
• Two decimals that can be multiplied

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

What makes a graph proportional?

• It is linear and goes through the point (0,4).

• It is linear and goes through the point (0,0). The ratio between y and x values is constant.

• It is a curvy line.

• It is nonlinear and the line goes through the origin.

Tags

CCSS.7.RP.A.2

Why does this graph show a non-proportional relationship?

• It doesn't, it is proportional because it is a straight line
• It goes through the origin
• It does not go through the origin
• It is a straight line

Tags

CCSS.7.RP.A.2

Is the graph proportional or non proportional? Assume it is going through point (0,0).

• Proportional

• Non-Proportional

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

Which graph is non-proportional?

• A
• B
• C
• D

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

Is the graph proportional or non proportional?

• Proportional because it is a straight line and passes through the origin (0,0).
• Non-Proportional because it doesn't pass through the origin (0,0).

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

Which statement best describes the relationship of x and y in the table?

Hint: Find the ratio between y and x. If it is constant, that value is the Constant of Proportionality (AKA: Unit Rate) and the relationship is proportional. You can determine if it is constant by dividing y by x for every (x,y) pair. Money/Hours. (k=y/x) If the quotient is the same for every ratio of y/x, then the relationship is proportional and the quotient is the Constant of Proportionality.

• Proportional

• Not Proportional

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

What are the main characteristics of a proportional relationship between two variables when represented by a graph?

• They pass through the origin.

• They are linear (straight line) and also pass through the origin.

• They are curved

• The x to y ratio is a constant of proportionality.

Tags

CCSS.7.RP.A.2

Does the graph show a proportional relationship?

• Yes
• No

Tags

CCSS.7.RP.A.1

CCSS.7.RP.A.2

Is the graph proportional or non proportional?

• proportional
• non proportional

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3