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?


Standard options: 
A. Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
B. Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
C. Fluently multiply multi-digit whole numbers using the standard algorithm.


Your response:
C

Now, assign the following problem or activity to one or more relevant standards it aligns with.
shot_info: fl_problem_000674

5
options: Write, read, and evaluate expressions in which letters stand for numbers.

Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.

Write and evaluate numerical expressions involving whole-number exponents.

Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
problem_activity: Problem 1
Sarita has a fish tank in the shape of a rectangular prism. The bottom of the fish tank measures
$${10}$$
inches by
$$8$$
inches. Sarita wants to add some sand to cover the bottom of the tank, and she uses the formula
$${ V=l × w × h}$$
to determine the volume of sand she needs.
a.   If the height of the sand measures
$$2$$
inches, what is the volume of sand needed?
b.   If the height of the sand measures
$${3.5}$$
inches, what is the volume of sand needed?
c.   Sarita cannot decide how high she wants the sand to be in the tank. What expression can she use to represent the volume of sand needed for
any
height of sand?
Problem 2
In each example, write an expression to represent the quantity.
a.   Thomas is
$$x$$
years old.
His sister is
$$5$$
years older. How old is his sister?
His dog is
$$3$$
years younger. How old is his dog?
His cousin is
$${3\over4}$$
his age. How old is his cousin?
His friend is
$$y$$
years younger. How old is his friend?
b.   Reina has
$$5$$
more quarters than dimes.
She has
$$8$$
dimes. How many quarters does she have?
She has
$$15$$
quarters. How many dimes does she have?
She has
$$d$$
dimes. How many quarters does she have?
She has
$$q$$
quarters. How many dimes does she have?
Problem 3
a.   A numeric expression like
$${5+(8+2)^2}$$
has one and only one value. What is it?
b.   Consider the expression
$${ {5+(x+2)^2}}$$
. What are some values it can have? Make sure you organize your work so anyone can tell which value for the expression goes with which
$$x$$
value.
c.   How many different values can an algebraic expression like
$${5+(x+2)^2}$$
have?


correct_option_index: 0