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: Gain familiarity with factors and multiples.

Add and subtract within 20.

Represent and solve problems involving addition and subtraction.

Generate and analyze patterns.

Represent and solve problems involving multiplication and division.

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

Work with radicals and integer exponents.

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

Use polynomial identities to solve problems.

Represent and analyze quantitative relationships between dependent and independent variables.

Perform arithmetic operations on polynomials.

Use the four operations with whole numbers to solve problems.

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

Analyze patterns and relationships.

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

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

Use properties of operations to generate equivalent expressions.

Solve equations and inequalities in one variable.

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

Solve systems of equations.

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

Rewrite rational expressions.

Write and interpret numerical expressions.

Multiply and divide within 100.

Reason about and solve one-variable equations and inequalities.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Work with addition and subtraction equations.

Represent and solve equations and inequalities graphically.

Create equations that describe numbers or relationships

Understand the relationship between zeros and factors of polynomials.

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

Write expressions in equivalent forms to solve problems.

Interpret the structure of expressions.
problem_activity: Anton writes a model that describes the number of tacos his friends eat as a function of the cost of the total tacos. Below is a graph of the model.
[IMG]
Anton writes a second model that describes the total cost of the tacos as a function of the number of tacos his friends eat. Below is a graph of the model.
[IMG]
Label the axes appropriately. Which one makes more sense?
How are these two graphs similar? Different?
How are these two equations similar? Different?


correct_option_index: 29