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:
Thought: 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: Extend the domain of trigonometric functions using the unit circle.

Analyze functions using different representations.

Build a function that models a relationship between two quantities.

Interpret functions that arise in applications in terms of the context.

Construct and compare linear and exponential models and solve problems.

Prove and apply trigonometric identities.

Use functions to model relationships between quantities.

Build new functions from existing functions.

Define, evaluate, and compare functions.

Model periodic phenomena with trigonometric functions.

Understand the concept of a function and use function notation.

Interpret expressions for functions in terms of the situation they model.
problem_activity: Problem 1
All of the four quadrants represent the same function but use a different representation. Explain how you know that each of these quadrants represents the same function.
[IMG]
Problem 2
Describe a characteristic that each of the quadrants shown below does not share with the rest.
[IMG]
You should have at least one characteristic for each quadrant.
Problem 3
Allison states that the slope of the following equation is 3.
$${3x + 4y = 8}$$
Allison creates a table of values for the equation and is confused when it does not appear that the slope in the table is 3.
[IMG]
Explain how Allison found the slope from the table.
Explain the mistake Allison made in finding the slope from the equation.
Graph the equation.


correct_option_index: 1

3