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: Understand properties of multiplication and the relationship between multiplication and division.

Write expressions in equivalent forms to solve problems.

Understand and apply properties of operations and the relationship between addition and subtraction.

Rewrite rational expressions.

Work with equal groups of objects to gain foundations for multiplication.

Work with addition and subtraction equations.

Use properties of operations to generate equivalent expressions.

Represent and solve equations and inequalities graphically.

Understand the relationship between zeros and factors of polynomials.

Understand solving equations as a process of reasoning and explain the reasoning.

Use the four operations with whole numbers to solve problems.

Gain familiarity with factors and multiples.

Multiply and divide within 100.

Analyze patterns and relationships.

Solve problems involving the four operations, and identify and explain patterns in arithmetic.

Represent and solve problems involving multiplication and division.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Reason about and solve one-variable equations and inequalities.

Work with radicals and integer exponents.

Represent and analyze quantitative relationships between dependent and independent variables.

Understand the connections between proportional relationships, lines, and linear equations.

Create equations that describe numbers or relationships

Generate and analyze patterns.

Solve equations and inequalities in one variable.

Write and interpret numerical expressions.

Interpret the structure of expressions.

Represent and solve problems involving addition and subtraction.

Use polynomial identities to solve problems.

Perform arithmetic operations on polynomials.

Solve systems of equations.

Analyze and solve linear equations and pairs of simultaneous linear equations.

Add and subtract within 20.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
problem_activity: Grace has $105 to buy a cake and pizza for her cousin’s birthday party. She knows she needs to set aside $25 for the cake, and the rest of the money she can spend on pizzas. Each pizza costs $9.25. How many pizzas can Grace afford to buy?
a.   Write and solve an inequality to answer the question.
b.   Each pizza serves 4 people. If 22 people reply that they will attend the party, how many pizzas should Grace buy? Explain your reasoning.


correct_option_index: 32