Working with Addition Input-Output Tables

Instructor: Jaimee Arnold

Jaimee has worked in elementary school and has her Master's +30.

In this lesson, you will learn what an input-output table is and how to use it. You will learn the vocabulary used with input/output tables and be able to complete an addition input/output table by the end of the lesson.

What is an Input-Output Table?

An input-output table is a table that shows the relationship between sets of numbers that always follow the same rule. Input-output tables can be very complex (with several math operations) or simple (with just one math operation). In some problems, the rule for the input-output table is given, and in other problems you will need to figure out the math rule for the input-output table. In this lesson, we will focus on working with addition to solve the input-output table. The rule for the input-output table must be the same for all the number sets that are included in the table. If the rule does not work for each set of numbers, it is not the correct rule for the table.

Math Vocabulary

Before you learn how to solve the input-output table, you will need to learn the vocabulary.

Input-Output table: This is the actual table that has the sets of numbers on it. This table could also be referred to as a function table.

Input is the number in the first column of the table. This is the number that you start with to follow the rule if the rule is given. You would also use this number to figure out what the rule is if it is not given. You always start with input.

Output is the end number or the answer to the math equation.

The rule is the math operation(s) that needs to be followed to get the correct sets of numbers for your input-output table. Look at the illustration below to see how the table is set up.

This is how an input-output table is set up.

Input-Output Table: Using the Rule

In some input-output tables, the rule will be clearly stated. You can find the rule directly on top of the input-output table. When the rule is given, it is the same rule for every row of the table in that problem. So if the rule is ''add 3'', it is ''add 3'' for every single row in the table. Each row is a different set of numbers, but you do the same mathematical operation for each one. Take a look at the picture to see how the input output table is set up.

Addition input-output table showing thinking

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