few_shots: Example:
Problem/activity:
Find the general solution for:
$${\mathrm{cos}\left({\pi\over2}+x\right)=\mathrm{tan}{\pi\over4}}$$


Mathematical concept/skill options: 
A. Prove and apply trigonometric identities.
B. Model periodic phenomena with trigonometric functions.
C. Interpret functions that arise in applications in terms of the context.
D. Build a function that models a relationship between two quantities.
E. Define, evaluate, and compare functions.
F. Use functions to model relationships between quantities.
G. Understand the concept of a function and use function notation.
H. Analyze functions using different representations.
I. Extend the domain of trigonometric functions using the unit circle.
J. Interpret expressions for functions in terms of the situation they model.
K. Build new functions from existing functions.
L. Construct and compare linear and exponential models and solve problems.


Your response, in json format:
{
  "explanation": "This problem applies trigonometric identities, including the angle addition formula for cosine.",
  "answer": "A"
}

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: fl_problem_001894

HS
options: Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.

Measure and estimate lengths in standard units.

Tell and write time.

Convert like measurement units within a given measurement system.

Work with time and money.

Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

Classify objects and count the number of objects in each category.

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.

Describe and compare measurable attributes.

Relate addition and subtraction to length.

Measure lengths indirectly and by iterating length units.

Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

Geometric measurement: understand concepts of angle and measure angles.

Represent and interpret data.
problem_activity: Problem 1
The table below shows the distance that Ms. Smith's fourth graders ran before stopping for a rest.
{"table": [{"_attributes": {"align": "Center", "class": ["table", "table-bordered"], "style": "table-layout:fixed; width:50%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "_value": "Student"}, {"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "_value": "Distance (in miles)"}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Joe"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${2{1\\over2}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Arianna"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${1{3\\over4}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Bobbi"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${2{1\\over8}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Morgan"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${1{{5\\over8}}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Jack"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${2{{5\\over8}}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Sasha"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${2{1\\over4}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Tyler"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${2{2\\over4}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Jenny"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${{5\\over8}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Anson"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${2{2\\over8}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Chandra"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${2{4\\over8}}$$"}]}]}]}]}]}
Using the information in the table, answer the following questions:
a.   What was the longest distance a student ran?
b.   What was the shortest distance a student ran?
c.   What was the most common distance that students ran?
Problem 2
Use the data from Anchor Task #1 to create a line plot.
Problem 3
a.   With a partner or group, gather a handful of round buttons from a diverse collection and use a ruler to measure the diameter of each button to the nearest eighth inch.
b.   Make a dot plot of button diameters, marking your scale in eighth-inch increments.
c.   What is the most common diameter in your collection? How does that compare with the collection from another group?
d.   Now measure the diameters of these same buttons to the nearest quarter inch.
e.   Make a dot plot of button diameters, marking your scale in quarter-inch increments.
f.   Describe the differences between the two dot plots you created. Which one gives you more information? Which one is easier to read?


correct_option_index: 14