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 a discrete data set because 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 a continuous data set because it can take any value within a range, such as 20.5°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 is identified by 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 is identified by a smooth line or curve that connects all points, indicating that the data can take any value.

Tags

CCSS.HSF-IF.C.7B

Front

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

Back

A discrete graph would be used because the number of pets can only be whole numbers.

Front

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

Back

A continuous graph would be used because distance can vary continuously as time progresses.

Tags

CCSS.8.EE.B.5

Front

What is a function in the context of graphs?

Back

A function is a relationship where each input (x-value) has exactly one output (y-value). Both discrete and continuous graphs can represent functions.