few_shots: Example:
Problem/activity:
For each pair of numbers, determine if the values are equivalent. Explain your reasoning for each one.
a.
$$-0.25$$
and
$$\frac{1}{-4}$$
b.
$$-\left ( \frac{1}{4} \right )$$
and
$$\frac{-1}{-4}$$
c.
$$\frac{-1}{4}$$
and
$$-\frac{1}{4}$$


Mathematical concept/skill options: 
A. Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
B. Reason quantitatively and use units to solve problems.
C. Apply and extend previous understandings of numbers to the system of rational numbers.
D. Represent complex numbers and their operations on the complex plane.
E. Perform arithmetic operations with complex numbers.
F. Compute fluently with multi-digit numbers and find common factors and multiples.
G. Represent and model with vector quantities.
H. Perform operations on vectors.
I. Use properties of rational and irrational numbers.
J. Use complex numbers in polynomial identities and equations.
K. Extend the properties of exponents to rational exponents.
L. Know that there are numbers that are not rational, and approximate them by rational numbers.
M. Perform operations on matrices and use matrices in applications.
N. Apply and extend previous understandings of multiplication and division to divide fractions by fractions.


Your response:
Thought: This problem involves understanding fractions, multiplication, and division.
Answer: A

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: fl_problem_001097

7
options: Convert like measurement units within a given measurement system.

Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.

Measure and estimate lengths in standard units.

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Geometric measurement: understand concepts of angle and measure angles.

Measure lengths indirectly and by iterating length units.

Classify objects and count the number of objects in each category.

Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

Tell and write time.

Work with time and money.

Relate addition and subtraction to length.

Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.

Represent and interpret data.

Describe and compare measurable attributes.
problem_activity: Problem 1
Use a gallon, quart, pint, and cup container and water to answer the following questions.
What do you notice about the relationship between the capacity of a gallon and the capacity of a quart?
What do you notice about the relationship between the capacity of a quart and the capacity of a pint?
What do you notice about the relationship between the capacity of a pint and the capacity of a cup?
What do you notice about the relationship between the capacity of a cup and the capacity of a fluid ounce?
Problem 2
Fill in the following conversion tables.
[IMG]
Problem 3
Joseph is told to dissolve a medicine in 1 pint 4 ounces of water. He has a measuring cup marked in ounces. How many ounces of water should he pour?
Problem 4
Dominica’s mom signs up to bring a gallon of fruit punch to the family potluck. She plans to use the following recipe:
| **            Fruit Punch           **  **            Ingredients:           **  *                       2 (6 ounce) cans frozen orange juice concentrate              *                       2 (6 ounce) cans frozen lemonade concentrate              *                       1 (3 pint) can pineapple juice              *                       3 cups water              *                       1 quart 2 ounces soda |
|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
Will this recipe yield a gallon of fruit punch? If not, how much more fruit punch would she need to make? If so, how much more than a gallon will she have?


correct_option_index: 8