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:
{
  "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: Solve systems of equations.

Represent and analyze quantitative relationships between dependent and independent variables.

Solve equations and inequalities in one variable.

Represent and solve problems involving addition and subtraction.

Perform arithmetic operations on polynomials.

Rewrite rational expressions.

Work with addition and subtraction equations.

Gain familiarity with factors and multiples.

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

Reason about and solve one-variable equations and inequalities.

Apply and extend previous understandings of arithmetic to algebraic expressions.

Write expressions in equivalent forms to solve problems.

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

Add and subtract within 20.

Use polynomial identities to solve problems.

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

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

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

Use properties of operations to generate equivalent expressions.

Analyze patterns and relationships.

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

Represent and solve problems involving multiplication and division.

Use the four operations with whole numbers to solve problems.

Work with radicals and integer exponents.

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

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

Create equations that describe numbers or relationships

Multiply and divide within 100.

Write and interpret numerical expressions.

Generate and analyze patterns.

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

Represent and solve equations and inequalities graphically.

Interpret the structure of expressions.

Understand the relationship between zeros and factors of polynomials.
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: 2