few_shots: Example:
Problem/activity:
Problem 1
Solve using the standard algorithm. If you get stuck, use an area model and/or the partial products algorithm to help. Then assess the reasonableness of your answer.
a.
$$5,803\times46$$
b.
$$63\times2,116$$
Problem 2
Dunkin' introduced a croissant doughnut in 2014. In the first three months of its debut, they sold 7,870 dozen of them per day. How many croissant doughnuts were sold in the first three months?


Mathematical concept/skill options: 
A. Use place value understanding and properties of operations to perform multi-digit arithmetic. (A range of algorithms may be used.)
B. Understand place value.
C. Understand the place value system.
D. Extend the counting sequence.
E. Work with numbers 11–19 to gain foundations for place value.
F. Use place value understanding and properties of operations to perform multi-digit arithmetic.
Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.
G. Perform operations with multi-digit whole numbers and with decimals to hundredths.
H. Generalize place value understanding for multi-digit whole numbers.
Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.
I. Use place value understanding and properties of operations to add and subtract.


Your response, in json format:
{
  "explanation": "This set of problems asks students to perform multiplication, which is an operation, on multi-digit whole numbers.",
  "answer": "G"
}

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: fl_problem_000674

5
options: Represent and solve problems involving multiplication and division.

Use the four operations with whole numbers to solve problems.

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

Perform arithmetic operations on polynomials.

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

Apply and extend previous understandings of arithmetic to algebraic expressions.

Work with radicals and integer exponents.

Gain familiarity with factors and multiples.

Multiply and divide within 100.

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

Write expressions in equivalent forms to solve problems.

Use properties of operations to generate equivalent expressions.

Represent and analyze quantitative relationships between dependent and independent variables.

Write and interpret numerical expressions.

Represent and solve problems involving addition and subtraction.

Work with addition and subtraction equations.

Understand the relationship between zeros and factors of polynomials.

Represent and solve equations and inequalities graphically.

Reason about and solve one-variable equations and inequalities.

Generate and analyze patterns.

Interpret the structure of expressions.

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

Create equations that describe numbers or relationships

Use polynomial identities to solve problems.

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

Solve equations and inequalities in one variable.

Solve systems of equations.

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

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

Rewrite rational expressions.

Analyze patterns and relationships.

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

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

Add and subtract within 20.
problem_activity: Problem 1
Solve the equation by completing the square. Show each step clearly.
$${3x^2-5x+1=0}$$
Problem 2
A quadratic equation is written below in standard, general form.
$${ax^2+bx+c=0}$$
Solve for
$$x$$
by completing the square as you did in Anchor Problem #1.
Problem 3
Recall the equation from Anchor Problem #1:
$${3x^2-5x+1=0}$$
.
Use the quadratic formula to determine the exact roots of the equation.


correct_option_index: 25