5th Grade Input Output and Patterns

Front

What is an input-output table?

Back

An input-output table shows how a set of inputs relates to a set of outputs, often using a specific rule or function.

Front

What does it mean to find a pattern in a sequence?

Back

Finding a pattern means identifying a consistent rule or relationship that describes how the sequence progresses.

Front

If X is the input and Y is the output, what does the equation Y = X divided by 3 represent?

Back

It means that for every input X, the output Y is one-third of X.

Front

How do you determine the number of legs for a given number of dogs?

Back

Multiply the number of dogs by 4, since each dog has 4 legs.

Front

What is the rule for the input-output relationship if the output is always double the input?

Back

The rule is to multiply the input by 2.

Front

In a pattern where each figure has 4 more squares than the previous one, what is the rule?

Back

The rule is to add 4 to the number of squares in the previous figure.

Front

What does it mean to multiply by 4 in an input-output table?

Back

It means that for every input, the output is four times the input value.

Front

If a table shows that 4 rafts can hold 32 people, what is the rule for the number of people per raft?

Back

The rule is to divide the total number of people by the number of rafts.

Front

What is a function in mathematics?

Back

A function is a relationship where each input has exactly one output.

Front

How can you express the relationship between dogs and legs mathematically?

Back

If D is the number of dogs, then the number of legs L can be expressed as L = D times 4.