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.

Describe and compare measurable attributes.

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

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

Measure lengths indirectly and by iterating length units.

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

Represent and interpret data.

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

Work with time and money.

Convert like measurement units within a given measurement system.

Measure and estimate lengths in standard units.

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

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

Geometric measurement: understand concepts of angle and measure angles.

Tell and write time.
problem_activity: Narrative
The purpose of this activity is for students draw their own picture graphs to represent given data. Each student receives a data table to use. After drawing their own graphs, they share their graph with a partner and receive feedback on what is clear and what they could improve. As students represent the data and share their graphs with others, they notice and describe the features of picture graphs that make it easy for others to understand (MP3, MP6). While students are making their graphs, monitor for any features that many students leave out (for example, titles or category labels) to emphasize when sharing in the synthesis.
The data tables will be used again in the next activity.
This activity uses
MLR8 Discussion Supports
. Advances: reading, writing, and conversing.
Required Materials
Materials to Copy
Data Tables
Picture and Bar Graph Template
Required Preparation
Each student needs 1 data table from the blackline master. Each student in a group of 2 may receive different data tables.
Launch
Groups of 2
Display “2nd Graders’ Favorite Sports” graph.
“What can you learn about 2nd graders’ favorite sports from this graph?”
“What are some features of this graph that help us understand the data?”
Share responses.
Highlight the important features (title, labels, and pictures or symbols).
Activity
"Now you are going to create your own picture graph."
Give each student 1 data table and a graph template from the blackline master.
“Write the number of the data table on your page.”
“This graph uses smiley faces, but you may choose something different when you make your graph."
"Think about what picture you are going to use, then represent the data shown in your table in a picture graph.”
10 minutes: independent work time
Monitor for students who use symbols that are easy to draw.
“Switch graphs with your partner.”
“Tell your partner 1 thing you think they did really well and 1 thing you still have a question about.”
MLR8 Discussion Supports
Display sentence frames.
“You did _____ really well in your graph.”
“Why did you . . . ?”
“Can you say more about . . . ?”
5 minutes: partner work time
Student Facing
A group of 2nd graders were asked, “What is your favorite sport?” Their responses are shown in this picture graph.
[IMG]
Represent the data shown in your table in a picture graph.
Table # _______
Student Response
Teachers with a valid work email address can
click here to register or sign in
for free access to Student Response.
Activity Synthesis
Display graphs of previously selected students.
“What is same about these graphs? What is different?”
1 minute: quiet think time
1
–
2 minutes: partner discussion
Share responses.
Consider asking selected students:
“Why did you choose that symbol?”
"What other features did you add to your graph to help others' understand it?"


correct_option_index: 6