few_shots: Example:
Problem/activity:
You’re mixing ingredients for cookies. The recipe says to combine 6 tablespoons, or ¾ stick, of butter with 1 cup of sugar. You accidentally mix in a whole stick of butter (8 tablespoons) with the cup of sugar. How can you fix this?


Mathematical concept/skill options: 
A. Analyze proportional relationships and use them to solve real-world and mathematical problems.
B. Understand ratio concepts and use ratio reasoning to solve problems.


Your response:
{
  "explanation": "This problem focuses on the ratio between two ingredients. Students do not have to analyze proportional relationships in-depth, which is reserved for a higher grade level, but rather use ratios to find missing values.",
  "answer": "B"
}

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: fl_problem_000972

6
options: Solve equations and inequalities in one variable.

Use properties of operations to generate equivalent expressions.

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

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

Write and interpret numerical expressions.

Generate and analyze patterns.

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

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

Add and subtract within 20.

Represent and analyze quantitative relationships between dependent and independent variables.

Multiply and divide within 100.

Solve systems of equations.

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

Understand the relationship between zeros and factors of polynomials.

Use polynomial identities to solve problems.

Apply and extend previous understandings of arithmetic to algebraic expressions.

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

Write expressions in equivalent forms to solve problems.

Create equations that describe numbers or relationships

Interpret the structure of expressions.

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

Perform arithmetic operations on polynomials.

Work with radicals and integer exponents.

Use the four operations with whole numbers to solve problems.

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

Gain familiarity with factors and multiples.

Represent and solve problems involving multiplication and division.

Work with addition and subtraction equations.

Represent and solve problems involving addition and subtraction.

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

Analyze patterns and relationships.

Represent and solve equations and inequalities graphically.

Reason about and solve one-variable equations and inequalities.

Rewrite rational expressions.
problem_activity: A baker has at most 120 minutes to decorate 40 cupcakes. How long can she spend decorating each cupcake to stay within her time limit?
Write and solve an inequality. Explain what your solution means in context of the situation.


correct_option_index: 32