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, in json format:
{
  "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: Work with radicals and integer exponents.

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

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

Add and subtract within 20.

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

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

Use the four operations with whole numbers to solve problems.

Create equations that describe numbers or relationships

Write and interpret numerical expressions.

Generate and analyze patterns.

Gain familiarity with factors and multiples.

Represent and solve problems involving multiplication and division.

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

Analyze patterns and relationships.

Reason about and solve one-variable equations and inequalities.

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

Solve systems of equations.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

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

Represent and solve equations and inequalities graphically.

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.

Multiply and divide within 100.

Write expressions in equivalent forms to solve problems.

Rewrite rational expressions.

Understand the relationship between zeros and factors of polynomials.

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

Solve equations and inequalities in one variable.

Interpret the structure of expressions.

Work with addition and subtraction equations.

Use polynomial identities to solve problems.

Perform arithmetic operations on polynomials.

Represent and solve problems involving addition and subtraction.
problem_activity: Problem 1
Rudy is waiting patiently for his new hens to lay some eggs.
a.   On Monday he went to the henhouse to check their nests. He has 12 hens in the house, and each hen had laid 0 eggs. How many eggs did Rudy have in total? Write an equation to represent the situation.
b.   On Tuesday when he went to the henhouse, he discovered that each of his 12 hens had laid 1 egg! How many eggs does he have now? Write an equation to represent the situation.
Problem 2
Solve.
a.
$$4\times 1 = $$
_____
b.   _____
$$= 1\times 7$$
c.
$$5\ \times$$
_____
$$=5$$
d.
$$6\div 6 = $$
_____
e.   _____
$$=9\div1$$
Problem 3
Solve.
a.
$$2\times 0 = a$$
b.
$$b = 0\times 3$$
c.
$$7\times c = 0$$
d.
$$0\div 8 = d$$


correct_option_index: 1

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