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

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

Write expressions in equivalent forms to solve problems.

Represent and analyze quantitative relationships between dependent and independent variables.

Represent and solve problems involving addition and subtraction.

Use the four operations with whole numbers to solve problems.

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

Add and subtract within 20.

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

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

Write and interpret numerical expressions.

Use polynomial identities to solve problems.

Multiply and divide within 100.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Understand the relationship between zeros and factors of polynomials.

Analyze patterns and relationships.

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

Create equations that describe numbers or relationships

Solve systems of equations.

Represent and solve problems involving multiplication and division.

Gain familiarity with factors and multiples.

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

Interpret the structure of expressions.

Perform arithmetic operations on polynomials.

Rewrite rational expressions.

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

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

Generate and analyze patterns.

Reason about and solve one-variable equations and inequalities.

Represent and solve equations and inequalities graphically.

Use properties of operations to generate equivalent expressions.

Work with radicals and integer exponents.

Work with addition and subtraction equations.

Solve equations and inequalities in one variable.
problem_activity: Problem 1
Set A and Set B each include a quadratic function represented as an equation, a graph, and a table.
Determine if all three representations in each set match. If not, explain how you would change one or more of the representations to make them match.
[IMG]
[IMG]
Problem 2
Which quadratic function below has the greatest positive value of
$$x$$
as a solution?
[IMG]


correct_option_index: 2