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: Add and subtract within 20.

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

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

Represent and analyze quantitative relationships between dependent and independent variables.

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

Analyze patterns and relationships.

Use the four operations with whole numbers to solve problems.

Generate and analyze patterns.

Represent and solve problems involving addition and subtraction.

Understand the relationship between zeros and factors of polynomials.

Solve systems of equations.

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Perform arithmetic operations on polynomials.

Represent and solve equations and inequalities graphically.

Rewrite rational expressions.

Work with addition and subtraction equations.

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

Write and interpret numerical expressions.

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

Write expressions in equivalent forms to solve problems.

Solve equations and inequalities in one variable.

Reason about and solve one-variable equations and inequalities.

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

Represent and solve problems involving multiplication and division.

Work with radicals and integer exponents.

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

Create equations that describe numbers or relationships

Interpret the structure of expressions.

Multiply and divide within 100.

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

Gain familiarity with factors and multiples.

Use polynomial identities to solve problems.

Use properties of operations to generate equivalent expressions.
problem_activity: Narrative
The purpose of this What Do You Know About _____? is to invite students to share what they know and how they can represent the number 20.
Launch
Display the number 20.
“What do you know about 20?”
1 minute: quiet think time
Activity
Record responses.
Student Facing
What do you know about 20?
Student Response
Teachers with a valid work email address can
click here to register or sign in
for free access to Student Response.
Activity Synthesis
“What connections do you see between different answers?”
Pick two addition expressions that use different addends and ask, “How are these two expressions related?”


correct_option_index: 0