Variables & Patterns 2

Front

What is a dependent variable?

Back

A dependent variable is the variable that is measured in an experiment. It changes in response to the independent variable. For example, in a study measuring the number of cans collected during a food drive, the number of cans collected is the dependent variable.

Front

What is an independent variable?

Back

An independent variable is the variable that is changed or controlled in an experiment to test its effects on the dependent variable. For example, in a study measuring the effect of laps raced on cost, the number of laps is the independent variable.

Front

Describe the relationship between the number of laps raced and the cost.

Back

As the number of laps increases by 10, the cost increases by $20.

Front

What is the greatest increase of rental cost shown on the table?

Back

The greatest increase of rental cost is shown from 5-10 bikes.

Front

How do you describe a decrease in temperature over time?

Back

A decrease in temperature can be described by stating the amount of decrease and the time period. For example, from 3.5 hours to 5 hours, there was a 12 °C decrease, temperature stayed the same, then a 3 °C decrease.

Front

What is the temperature at 3.5 hours?

Back

The temperature at 3.5 hours is 30 °C.

Front

What is a pattern in mathematics?

Back

A pattern in mathematics is a repeated or predictable sequence of numbers, shapes, or other elements. For example, the sequence 2, 4, 6, 8 is a pattern where each number increases by 2.

Front

What is a variable in mathematics?

Back

A variable is a symbol used to represent a number that can change. For example, in the equation y = 2x + 3, x and y are variables.

Front

What is a function?

Back

A function is a relationship between two sets of values where each input (independent variable) has exactly one output (dependent variable). For example, f(x) = x + 2 is a function.

Front

What does it mean to analyze data?

Back

To analyze data means to examine and interpret the data to find patterns, trends, or insights. This can involve looking for relationships between variables.