Input/Output Tables

Front

What is an input/output table?

Back

An input/output table is a mathematical tool used to show the relationship between input values and output values based on a specific rule or function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you determine the rule for an input/output table?

Back

To determine the rule, analyze the relationship between the input and output values, looking for a consistent pattern or operation (addition, subtraction, multiplication, etc.).

Tags

CCSS.5.OA.B.3

Front

What does a negative rule in an input/output table indicate?

Back

A negative rule indicates that the output value decreases as the input value increases, typically through subtraction.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does a positive rule in an input/output table indicate?

Back

A positive rule indicates that the output value increases as the input value increases, typically through addition.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

If the rule is -4, what does this mean for the input/output relationship?

Back

It means that for every input value, the output value is 4 less than the input value.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

If the rule is +14, what does this mean for the input/output relationship?

Back

It means that for every input value, the output value is 14 more than the input value.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the significance of the constant in a rule like +5?

Back

The constant indicates the amount added to the input to get the output, showing a linear relationship.

Tags

CCSS.HSF.LE.B.5

Front

How can you verify the rule of an input/output table?

Back

You can verify the rule by applying it to all input values and checking if the corresponding output values match.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the difference between a linear and a non-linear rule in input/output tables?

Back

A linear rule results in a straight line when graphed, while a non-linear rule results in a curve.

Tags

CCSS.8.F.A.3

Front

What is an example of a rule that involves multiplication?

Back

An example would be a rule like 'multiply by 2', where each output is double the input.

Tags

CCSS.5.OA.B.3