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: Represent and analyze quantitative relationships between dependent and independent variables.

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Generate and analyze patterns.

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

Work with radicals and integer exponents.

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

Write and interpret numerical expressions.

Analyze patterns and relationships.

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

Use polynomial identities to solve problems.

Reason about and solve one-variable equations and inequalities.

Represent and solve problems involving addition and subtraction.

Use the four operations with whole numbers to solve problems.

Use properties of operations to generate equivalent expressions.

Solve equations and inequalities in one variable.

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

Add and subtract within 20.

Represent and solve problems involving multiplication and division.

Represent and solve equations and inequalities graphically.

Solve systems of equations.

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

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

Create equations that describe numbers or relationships

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

Multiply and divide within 100.

Work with addition and subtraction equations.

Perform arithmetic operations on polynomials.

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

Rewrite rational expressions.

Understand the relationship between zeros and factors of polynomials.

Gain familiarity with factors and multiples.

Interpret the structure of expressions.

Write expressions in equivalent forms to solve problems.
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: 32