few_shots: 
Example:
Problem/activity:
You’re mixing ingredients for cookies. The recipe says to combine 6 tablespoons, or ¾ stick, of butter with 1 cup of sugar. You accidentally mix in a whole stick of butter (8 tablespoons) with the cup of sugar. How can you fix this?


Concept/skill: 
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

Answer: 
Yes. This problem solves a real-world problem involving mixing ingredients for cookies. A student doing this problem would need to reason about equivalent ratios of butter amounts to sugar amounts.

Now, does the problem or activity shown below enable students to learn the full intent of the following concept or skill?

shot_info: fl_problem_000972_pos_0

6
standard_description: Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
problem_activity: Task
A function machine takes an input, and based on some rule produces an output.
[IMG]
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 which are consistent with that rule.
Input values can be any English word. Output values are letters from the English alphabet.
$\ \ \ \ \ $
{"table": [{"_attributes": {"class": ["regular"]}, "tbody": [{"tr": [{"th": [{"_value": "input"}], "td": [{"_value": "cat"}, {"_value": "house"}, {"_value": "you"}, {"_value": "stem"}, {"_value": "$\\ \\ \\ \\ \\ $"}, {"_value": "$\\ \\ \\ \\ \\ $"}, {"_value": "$\\ \\ \\ \\ \\ $"}]}, {"th": [{"_value": "output"}], "td": [{"_value": "t"}, {"_value": "e"}, {"_value": "u"}, {}, {"_value": "z"}, {}, {}]}]}]}]}
Input values can be any rational number. Output values can be any rational number.
{"table": [{"_attributes": {"class": ["regular"]}, "tbody": [{"tr": [{"th": [{"_value": "input"}], "td": [{"_value": "$2$"}, {"_value": "$5$"}, {"_value": "$-1.53$"}, {"_value": "$0$"}, {"_value": "$-4 $"}, {"_value": "$\\ \\ \\ \\ \\ $"}, {"_value": "$\\ \\ \\ \\ \\ $"}]}, {"th": [{"_value": "output"}], "td": [{"_value": "$7$"}, {"_value": "$10$"}, {"_value": "$3.47$"}, {"_value": "$5$"}, {}, {"_value": "$8$"}, {}]}]}]}]}
Input values can be any whole number. Output values can be any whole number.
{"table": [{"_attributes": {"class": ["regular"]}, "tbody": [{"tr": [{"th": [{"_value": "input"}], "td": [{"_value": "$1$"}, {"_value": "$2$"}, {"_value": "$3$"}, {"_value": "$4$"}, {"_value": "$5$"}, {"_value": "$6$"}, {"_value": "$7$"}]}, {"th": [{"_value": "output"}], "td": [{"_value": "$2$"}, {"_value": "$1$"}, {"_value": "$4$"}, {"_value": "$\\ \\ \\ \\ \\ $"}, {}, {}, {}]}]}]}]}
Input values can be any whole number between 1 and 365. Output values can be any month of the year.
{"table": [{"_attributes": {"class": ["regular"]}, "tbody": [{"tr": [{"th": [{"_value": "input"}], "td": [{"_value": "25"}, {"_value": "365"}, {"_value": "35"}, {"_value": "95"}, {"_value": "330"}, {"_value": "66"}, {}]}, {"th": [{"_value": "output"}], "td": [{"_value": "January"}, {"_value": "December"}, {"_value": "February"}, {"_value": "April"}, {"_value": "November"}, {"_value": "$\\ \\ \\ \\ \\ \\ \\ \\ $"}, {"_value": "October"}]}]}]}]}
For at least one of the tables, describe a second rule which fits the given pairs but ultimately produces different pairs than the first rule for the rest of the table.


aligns: no