Use function language to describe functions. Identify function rules.
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In this lesson, focus on students using appropriate and correct language when describing functions and non-functions. They should use terminology including “input”, “output”, “function of”, etc. and use the context of the situation to help them make sense of the situation (as in Anchor Problem #2). Use small group or partner work where appropriate to ensure all students have the opportunity to describe functions and use function language.
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A function machine takes an input and, based on some rule, produces an output.
The tables below show some input-output pairs for different functions. For each table, describe a function rule in words that would produce the given outputs from the corresponding inputs. Then fill in the rest of the table values as inputs and outputs that are consistent with that rule.
Input | cat | house | you | stem | |||
Output | t | e | u | z |
Input | 2 | 5 | -1.53 | 0 | -4 | ||
Output | 7 | 10 | 3.47 | 5 | 8 |
Function Rules, accessed on Oct. 26, 2017, 8:07 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
The table below shows the total distance a runner has covered over a given period of time.
Time in minutes (t) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Total distance in miles (d) | 0.1 | 0.25 | 0.35 | 0.43 | 0.5 | 0.5 | 0.5 | 0.62 | 0.71 | 0.85 |
Two input/output tables are shown below.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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A certain business keeps a database of information about its customers.
Customer Name | Home Phone Number |
Heather Baker | 310-510-0091 |
Mike London | 310-520-0256 |
Sue Green | 323-413-2598 |
Bruce Swift | 323-413-2598 |
Michelle Metz | 213-806-1124 |
The Customers, accessed on Oct. 26, 2017, 8:14 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
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