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:
{
  "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: Relate addition and subtraction to length.

Work with time and money.

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

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.

Measure lengths indirectly and by iterating length units.

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

Convert like measurement units within a given measurement system.

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

Represent and interpret data.

Tell and write time.

Describe and compare measurable attributes.

Measure and estimate lengths in standard units.

Geometric measurement: understand concepts of angle and measure angles.

Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.
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: 9