4.5B Input Output Tables

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What is an input-output table?

Back

An input-output table is a mathematical representation that shows how a set of inputs relates to a set of outputs, often used to identify patterns or relationships in functions.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you determine the output in an input-output table?

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To determine the output, you apply the function or rule defined for the table to the given input.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does the term 'sequence' refer to in mathematics?

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In mathematics, a sequence is an ordered list of numbers or elements, where each number is called a term.

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CCSS.HSF.BF.A.2

Front

What is the significance of the position of a number in a sequence?

Back

The position of a number in a sequence indicates its order, which is crucial for identifying patterns and relationships.

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CCSS.5.OA.B.3

Front

How can division be represented in an input-output table?

Back

Division can be represented by showing how many times one number fits into another, often resulting in a quotient that serves as the output.

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CCSS.3.OA.D.9

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What is the first step in solving application-based questions involving input-output tables?

Back

The first step is to carefully read the problem to understand the relationship between inputs and outputs.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does the letter 'D' typically represent in a multiple-choice question?

Back

In a multiple-choice question, 'D' represents one of the possible answers, and students must determine if it is correct based on the question.

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CCSS.RI.3.7

CCSS.RI.4.7

CCSS.RL.3.7

CCSS.RL.4.7

CCSS.RL.5.7

Front

What is a common strategy for identifying patterns in sequences?

Back

A common strategy is to look for differences between consecutive terms or to identify a rule that generates the sequence.

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CCSS.HSF.BF.A.2

Front

What is the role of equations in input-output tables?

Back

Equations define the relationship between inputs and outputs, allowing for the calculation of outputs based on given inputs.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How can you verify your answers when working with input-output tables?

Back

You can verify your answers by substituting the inputs back into the equation or rule to see if you obtain the correct outputs.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1