Discrete vs. Continuous Graphs

Front

What is a discrete graph?

Back

A discrete graph consists of distinct, separate points. It represents data that can only take specific values, such as the number of students in a class.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What is a continuous graph?

Back

A continuous graph shows data that can take any value within a given range. It is represented by a smooth line or curve, such as the height of a plant over time.

Tags

CCSS.8.EE.B.5

Front

Give an example of a discrete data set.

Back

The number of cars in a parking lot is an example of discrete data, as it can only be whole numbers (0, 1, 2, etc.).

Front

Give an example of a continuous data set.

Back

The temperature throughout the day is an example of continuous data, as it can take any value within a range (e.g., 20.5°C, 21.0°C).

Front

What is the main difference between discrete and continuous graphs?

Back

The main difference is that discrete graphs consist of individual points, while continuous graphs represent a range of values with a connected line.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How can you identify a discrete graph visually?

Back

A discrete graph will show individual points that are not connected, indicating that the data is not continuous.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How can you identify a continuous graph visually?

Back

A continuous graph will have a smooth line or curve, indicating that the data can take any value within a range.

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Front

What type of graph would you use to represent the number of pets owned by students?

Back

A discrete graph, as the number of pets can only be whole numbers.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

What type of graph would you use to represent the distance traveled by a car over time?

Back

A continuous graph, as the distance can vary continuously over time.

Tags

CCSS.8.EE.B.5

Front

What is a common mistake when interpreting discrete graphs?

Back

A common mistake is to assume that the points are connected, which implies continuity when they are actually separate.

Tags

CCSS.HSF-IF.C.7A