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: Work with radicals and integer exponents.

Use the four operations with whole numbers to solve problems.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

Represent and solve problems involving addition and subtraction.

Rewrite rational expressions.

Reason about and solve one-variable equations and inequalities.

Write expressions in equivalent forms to solve problems.

Represent and analyze quantitative relationships between dependent and independent variables.

Perform arithmetic operations on polynomials.

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

Create equations that describe numbers or relationships

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

Use polynomial identities to solve problems.

Use properties of operations to generate equivalent expressions.

Gain familiarity with factors and multiples.

Solve systems of equations.

Analyze patterns and relationships.

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

Interpret the structure of expressions.

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

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

Represent and solve equations and inequalities graphically.

Multiply and divide within 100.

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

Write and interpret numerical expressions.

Represent and solve problems involving multiplication and division.

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

Understand the relationship between zeros and factors of polynomials.

Work with addition and subtraction equations.

Add and subtract within 20.

Generate and analyze patterns.

Solve equations and inequalities in one variable.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Work with equal groups of objects to gain foundations for multiplication.
problem_activity: Stage 2: Subtract 1 or 2
Required Preparation
Materials to Gather
Number cards 0–10
Two-color counters
Materials to Copy
Blackline Masters
Five in a Row Addition and Subtraction Stages 1 and 2 Gameboard

Narrative
Students choose a number card 0-10 and choose to subtract 1 or 2 from the number on their card and then place their counter on the difference.
Variation:
Students can choose to add or subtract 1 or 2.
Additional Information
Each group of 2 needs 25 counters.


correct_option_index: 29