Proportions- 6th grade Day 1

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities. It remains the same regardless of the values of the quantities.

Front

What does it mean if a relationship is proportional?

Back

A relationship is proportional if it can be represented by a straight line that passes through the origin on a graph.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified if the graph is a straight line that passes through the origin (0,0).

Front

What is an example of a constant of proportionality in a real-world scenario?

Back

If a car travels 90 miles in 2 hours, the constant of proportionality (speed) is 45 mph.

Front

What does it mean if a graph does not show a proportional relationship?

Back

If a graph does not show a proportional relationship, it may not be a straight line or it does not pass through the origin.

Front

If the constant of proportionality is $9, what does this mean in a real-world context?

Back

It means that for every unit increase in one quantity, the other quantity increases by $9.

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where k is the constant, y is the dependent variable, and x is the independent variable.

Front

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

Back

Proportional relationships have a constant ratio and pass through the origin, while non-proportional relationships do not have a constant ratio and may not pass through the origin.

Front

If a table shows values (2, 6), (4, 12), (6, 18), what is the constant of proportionality?

Back

The constant of proportionality is 3, since 6/2 = 12/4 = 18/6 = 3.

Front

What does it mean for a graph to be a straight line?

Back

A straight line on a graph indicates a constant rate of change between the two variables.