few_shots: Example:
Problem/activity:
Problem 1
Solve using the standard algorithm. If you get stuck, use an area model and/or the partial products algorithm to help. Then assess the reasonableness of your answer.
a.
$$5,803\times46$$
b.
$$63\times2,116$$
Problem 2
Dunkin' introduced a croissant doughnut in 2014. In the first three months of its debut, they sold 7,870 dozen of them per day. How many croissant doughnuts were sold in the first three months?


Standard options: 
A. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
B. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
C. Fluently multiply multi-digit whole numbers using the standard algorithm.


Your response, in json format:
{
  "explanation": "This set of problems involves multi-digit whole numbers because the numbers in each problem are four and two digit integers, and the mathematical calculations involved in both problems focus on multiplication. The first problem explicitly asks the student to solve its subproblems using the standard algorithm.",
  "answer": "C"
}

Now, assign the following problem or activity to one or more relevant standards it aligns with.
shot_info: fl_problem_000674

5
options: Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.

Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
problem_activity: Task
Each student in a random sample of students at a local high school was categorized according to gender (male or female) and whether they supported a proposal to increase the length of the school day by 30 minutes (oppose, support, no opinion). The following table summarizes the data for this sample.
{"table": [{"tbody": [{"tr": [{"td": [{"_attributes": {"colspan": "2", "rowspan": "2"}, "p": [{}]}, {"_attributes": {"colspan": "4"}, "p": [{"_value": "Opinion on Proposal to Increase Length of School Day"}]}]}, {"td": [{"p": [{"_value": "Oppose"}]}, {"p": [{"_value": "Support"}]}, {"p": [{"_value": "No Opinion"}]}, {"p": [{"_value": "Total"}]}]}, {"td": [{"_attributes": {"rowspan": "3"}, "p": [{"_value": "Gender"}]}, {"p": [{"_value": "Male"}]}, {"p": [{"_value": "50"}]}, {"p": [{"_value": "40"}]}, {"p": [{"_value": "20"}]}, {"p": [{"_value": "110"}]}]}, {"td": [{"p": [{"_value": "Female"}]}, {"p": [{"_value": "40"}]}, {"p": [{"_value": "40"}]}, {"p": [{"_value": "10"}]}, {"p": [{"_value": "90"}]}]}, {"td": [{"p": [{"_value": "Total"}]}, {"p": [{"_value": "90"}]}, {"p": [{"_value": "80"}]}, {"p": [{"_value": "30"}]}, {"p": [{"_value": "200"}]}]}]}]}]}
What proportion of the students in this sample are male?
What proportion of the students in this sample support the proposal?
What proportion of the males in this sample support the proposal?
What proportion of the students in this sample who support this proposal are male?
Interpret the following joint relative frequency in the context of this problem: 10/200.
Interpret the following marginal relative frequency in the context of this problem: 30/200.
Interpret the following conditional frequency in the context of this problem: 50/110.
Interpret the following conditional frequency in the context of this problem: 20/110.
Interpret the following conditional frequency in the context of this problem: 20/30.


correct_option_index: 0