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.

Generate and analyze patterns.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Use the four operations with whole numbers to solve problems.

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

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

Rewrite rational expressions.

Solve equations and inequalities in one variable.

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

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

Perform arithmetic operations on polynomials.

Work with radicals and integer exponents.

Add and subtract within 20.

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

Write and interpret numerical expressions.

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

Represent and solve problems involving addition and subtraction.

Represent and solve problems involving multiplication and division.

Use properties of operations to generate equivalent expressions.

Work with addition and subtraction equations.

Understand the relationship between zeros and factors of polynomials.

Reason about and solve one-variable equations and inequalities.

Solve systems of equations.

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

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

Represent and solve equations and inequalities graphically.

Gain familiarity with factors and multiples.

Use polynomial identities to solve problems.

Interpret the structure of expressions.

Create equations that describe numbers or relationships

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

Multiply and divide within 100.

Write expressions in equivalent forms to solve problems.

Analyze patterns and relationships.
problem_activity: Narrative
The purpose of this activity is for students to choose from activities that focus on counting up to 20 objects or adding and subtracting within 10. Students choose from any stage of previously introduced centers and are encouraged to choose the center that will be most helpful for them at this time.
Counting Collections
Number Race
Check it Off
Five in a Row: Addition and Subtraction
Find the Pair
In the synthesis, students discuss ways they can continue building fluency with addition and subtraction within 10 at home. Consider sending home copies of the center activities for students to play at home.
Required Materials
Materials to Gather
Materials from previous centers
Required Preparation
Gather materials from previous centers:
Counting Collections, Stage 1
Number Race, Stage 3
Check it Off, Stages 1 and 2
Five in a Row: Addition and Subtraction, Stages 1 and 2
Find the Pair, Stage 2
Launch
Groups of 2
“Now you are going to choose from centers we have already learned.”
Display the center choices in the student book.
“Think about what you want to do first.”
30 seconds: quiet think time
Activity
Invite students to work at the center of their choice.
8 minutes: center work time
“Choose what you would like to do next.”
8 minutes: center work time
Student Facing
Choose a center.
Counting Collections
[IMG]
Number Race
[IMG]
Check it Off
[IMG]
Five in a Row: Addition and Subtraction
[IMG]
Find the Pair
[IMG]
Activity Synthesis
“We have been playing a lot of games to help us build fluency with addition and subtraction within 10. How can you continue working on addition and subtraction at home?” (I could use flash cards. I could play these games with my family.)


correct_option_index: 12