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: Geometric measurement: understand concepts of angle and measure angles.

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

Work with time and money.

Convert like measurement units within a given measurement system.

Measure and estimate lengths in standard units.

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

Represent and interpret data.

Relate addition and subtraction to length.

Measure lengths indirectly and by iterating length units.

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

Describe and compare measurable attributes.

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.

Tell and write time.
problem_activity: Narrative
The purpose of this activity is for students to think of questions that can be answered using the data representation they create as they collect data from the class. Although there are two different sets of data, all of the questions students ask should be able to be answered using either data set. Questions are compiled during the synthesis and will be used in the following activity.
If necessary, use the provided blackline master instead of collecting data from the class. Cut the blackline master in half and give half the class data from Group A and the other half data from Group B.
Required Materials
Materials to Copy
Favorite Special Class Data
Launch
Groups of 2
“We are going to take another survey and ask questions about the data.”
Decide on a survey question the class would like to answer and three possible responses.
“Record the title of the data representation and each category.”
Demonstrate recording the titles.
Divide the class into Group A and Group B. Each partnership should have one person from each group.
“Group A is going to take the survey first. If you are in Group B, record the data in your book as I record it for all to see.”
Ask students in Group A the survey question and record the data on the table using tally marks and numbers.
“Now Group B is going to take the survey and Group A will record the data.”
Ask students in Group B the survey question and record the data on the table using tally marks and numbers.
Activity
“Now, think of as many questions as you can that can be answered using your data representation. Record your questions in your book if you would like.”
5 minutes: independent work time
Student Facing
Our favorite __________________________________________________
{"table": [{"_attributes": {"border": "1"}, "thead": [{"tr": [{"th": [{"_attributes": {"scope": "col", "style": "width:33%"}, "p": [{"_attributes": {"style": "text-align:center"}, "_value": "category 1"}, {"span": [{"_attributes": {"class": ["math"]}, "_value": "\\(\\phantom{\\hspace{2.5cm} \\\\ \\hspace{2.5cm}}\\)"}]}]}, {"_attributes": {"scope": "col", "style": "width:33%"}, "p": [{"_attributes": {"style": "text-align:center"}, "_value": "category 2"}, {"span": [{"_attributes": {"class": ["math"]}, "_value": "\\(\\phantom{\\hspace{2.5cm} \\\\ \\hspace{2.5cm}}\\)"}]}]}, {"_attributes": {"scope": "col", "style": "width:33%"}, "p": [{"_attributes": {"style": "text-align:center"}, "_value": "category 3"}, {"span": [{"_attributes": {"class": ["math"]}, "_value": "\\(\\phantom{\\hspace{2.5cm} \\\\ \\hspace{2.5cm}}\\)"}]}]}]}]}], "tbody": [{"tr": [{"td": [{"p": [{"span": [{"_attributes": {"class": ["math"]}, "_value": "\\(\\phantom{\\hspace{2.5cm} \\\\ \\hspace{2.5cm}}\\)"}]}]}, {}, {}]}]}]}]}
Student Response
Teachers with a valid work email address can
click here to register or sign in
for free access to Student Response.
Advancing Student Thinking
If students make statements instead of questions, consider asking:
“What is the question you want your partner to answer?”
“How could you finish this question, ‘How many students chose _____?’”
Activity Synthesis
Share and record the students’ questions about their data.
“Now we will ask our partner some of these questions.”


correct_option_index: 6