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: Create equations that describe numbers or relationships

Add and subtract within 20.

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

Represent and analyze quantitative relationships between dependent and independent variables.

Use the four operations with whole numbers to solve problems.

Reason about and solve one-variable equations and inequalities.

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

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

Multiply and divide within 100.

Write expressions in equivalent forms to solve problems.

Interpret the structure of expressions.

Solve systems of equations.

Rewrite rational expressions.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Perform arithmetic operations on polynomials.

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

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

Gain familiarity with factors and multiples.

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

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

Solve equations and inequalities in one variable.

Analyze patterns and relationships.

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

Represent and solve equations and inequalities graphically.

Use properties of operations to generate equivalent expressions.

Represent and solve problems involving addition and subtraction.

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

Use polynomial identities to solve problems.

Generate and analyze patterns.

Understand the relationship between zeros and factors of polynomials.

Work with radicals and integer exponents.

Write and interpret numerical expressions.

Work with addition and subtraction equations.

Represent and solve problems involving multiplication and division.
problem_activity: Problem 1
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 2
Part 1:
Graph the following equation but ONLY over the domain listed.
$${y = -\frac{1}{2}x + 4}$$
,  where
$${x > 2}$$
Part 2:
Graph the following equation but ONLY over the domain listed (on the same coordinate plane).
$${y = -2x + 1}$$
, where
$${-2 < x \leq 2}$$
Problem 3
Write the equation for the piecewise function graphed below.
[IMG]


correct_option_index: 0