An input-output table is a two-column table in which the same rule is
applied to each input value resulting in the corresponding output values.
Use an input-output table, substituting 1, 2, 3, and 4 for
n in the given expression. The middle column is to show the rule being applied.
| Input (n) |
n + 10 |
Output |
| 1 | 1 + 10 | 11 |
| 2 | 2 + 10 | 12 |
| 3 | 3 + 10 | 13 |
| 4 | 4 + 10 | 14 |
So, the pattern generated from the expression n + 10, for n = 1, 2, 3, and 4, is 11, 12, 13, 14.
Multiplication can be used to find a total when a given amount is added multiple times. The middle column is to show the rule being applied.
Number of
Batches | Number of
Batches
×
12 Cookies
[in each batch] | Total Number
of Cookies |
| 1 | 1 × 12 | 12 |
| 2 | 2 × 12 | 24 |
| 3 | 3 × 12 | 36 |
| 4 | 4 × 12 | 48 |
So, the pattern for how many cookies Ellie baked in 1, 2, 3, and 4 batches is 12, 24, 36, 48.
4th Grade Math - Patterns - Input/Output Lesson