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:
Thought: 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: Reason about and solve one-variable equations and inequalities.

Use polynomial identities to solve problems.

Understand the relationship between zeros and factors of polynomials.

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

Work with radicals and integer exponents.

Rewrite rational expressions.

Solve equations and inequalities in one variable.

Add and subtract within 20.

Solve systems of equations.

Use properties of operations to generate equivalent expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

Multiply and divide within 100.

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

Perform arithmetic operations on polynomials.

Write expressions in equivalent forms to solve problems.

Generate and analyze patterns.

Represent and solve problems involving multiplication and division.

Represent and solve equations and inequalities graphically.

Analyze patterns and relationships.

Represent and solve problems involving addition and subtraction.

Create equations that describe numbers or relationships

Write and interpret numerical expressions.

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

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

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

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

Interpret the structure of expressions.

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

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

Work with addition and subtraction equations.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Gain familiarity with factors and multiples.

Use the four operations with whole numbers to solve problems.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
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: 20