Proportional Reasoning: Tables and Graphs

Front

What is proportional reasoning?

Back

Proportional reasoning is the ability to compare ratios and understand the relationship between quantities that change in relation to each other.

Front

How do you know if a graph is proportional?

Back

The graph is a straight line that passes through the origin.

Front

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

Back

A non-proportional graph does not represent a constant ratio between the x and y values, often appearing as a curved line or a straight line that does not pass through the origin.

Front

What is the origin in a graph?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect.

Front

What is a straight line graph?

Back

A straight line graph represents a linear relationship between two variables, where the change in one variable is consistent with the change in another.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if the ratio of one quantity to another is constant.

Front

How can you identify a proportional relationship in a table?

Back

A proportional relationship in a table shows that as one quantity increases, the other quantity increases at a constant rate, resulting in equivalent ratios.

Front

What is a coordinate point?

Back

A coordinate point is a pair of numbers (x, y) that represent a specific location on a graph.

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change between the y variable and the x variable.

Front

What is the difference between proportional and non-proportional graphs?

Back

Proportional graphs are straight lines that pass through the origin, while non-proportional graphs do not pass through the origin and may be curved or straight.