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: Use properties of operations to generate equivalent expressions.

Add and subtract within 20.

Solve systems of equations.

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

Represent and solve problems involving multiplication and division.

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

Write and interpret numerical expressions.

Use the four operations with whole numbers to solve problems.

Gain familiarity with factors and multiples.

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Use polynomial identities to solve problems.

Create equations that describe numbers or relationships

Multiply and divide within 100.

Represent and solve equations and inequalities graphically.

Represent and analyze quantitative relationships between dependent and independent variables.

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

Understand the relationship between zeros and factors of polynomials.

Analyze patterns and relationships.

Interpret the structure of expressions.

Solve equations and inequalities in one variable.

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

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

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

Perform arithmetic operations on polynomials.

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

Work with radicals and integer exponents.

Work with addition and subtraction equations.

Rewrite rational expressions.

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

Represent and solve problems involving addition and subtraction.

Generate and analyze patterns.

Write expressions in equivalent forms to solve problems.

Reason about and solve one-variable equations and inequalities.
problem_activity: Narrative
The purpose of this warm-up is to elicit observations and questions about some animals and their associated measurements, which will be useful when students create comparison statements in a later activity.
Launch
Groups of 2
Display the images.
“What do you notice? What do you wonder?”
1 minute: quiet think time
Activity
“Discuss your thinking with your partner.”
1 minute: partner discussion
Share and record responses.
Student Facing
What do you notice? What do you wonder?
30 feet
[IMG]
130 inches
[IMG]
3 feet
[IMG]
Student Response
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click here to register or sign in
for free access to Student Response.
Activity Synthesis
“The numbers tell us how high each of these animals can jump.”
Ask students to decide if each of the following statements is true or false and share their responses and reasoning:
“A rabbit can jump 10 times as high as a dolphin.”
“A dolphin can jump as high as a frog.”
“What other comparison statements can you make about how high these animals can jump?”
30 seconds: think time
1 minute: partner discussion
Share responses.
“We are going to keep thinking about making comparisons in our first activity today.”


correct_option_index: 7