Proportional Tables and Graphs

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Tags

CCSS.7.RP.A.2A

Front

How can you identify a proportional table?

Back

A proportional table has values that maintain a constant ratio, meaning if you divide one value by the corresponding value in another column, the result is the same for all pairs.

Tags

CCSS.7.RP.A.2B

Front

What does a proportional graph look like?

Back

A proportional graph is a straight line that passes through the origin (0,0).

Tags

CCSS.7.RP.A.2D

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate the unit rate from a given scenario?

Back

To calculate the unit rate, divide the total amount by the number of units. For example, if Alycia earned $20.40 in 3 hours, her unit rate is $20.40 ÷ 3 = $6.80 per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio between the two quantities.

Tags

CCSS.7.RP.A.2D

Front

If a table shows the values (2, 4), (3, 6), (4, 8), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (y/x = 2 for all pairs).

Tags

CCSS.7.RP.A.2A

Front

What is the significance of the origin in proportional graphs?

Back

The origin (0,0) represents the starting point of the relationship, indicating that when one quantity is zero, the other quantity is also zero.

Tags

CCSS.7.RP.A.2D

Front

How can you determine if a graph is proportional by looking at its slope?

Back

In a proportional graph, the slope is constant and equal to the unit rate. If the slope changes, the graph is non-proportional.

Tags

CCSS.7.RP.A.2D

Front

What is the formula for finding the slope of a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Tags

CCSS.8.EE.B.5