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
$$-\frac{1}{4}$$


Concept/skill: 
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

Answer: 
Yes. This problem involves understanding fractions and division to divide rational numbers, such as 1, -4, 4, and -1. This problem also involves an understanding of multiplication: if p and q are integers, then -(p/q) = (-p)/q = p/(-q).

Now, does the problem or activity shown below enable students to learn the full intent of the following concept or skill?

shot_info: fl_problem_001097_pos_0

7
standard_description: Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
problem_activity: Problem 1
A company hires five people for the same job for one week. The amount that each person is paid for the week is shown in the table below.
|   **           Person          **    | **           Person A          ** | **           Person B          ** | **           Person C          ** | **           Person D          ** | **           Person E          ** |
|--------------------------------------|-----------------------------------|-----------------------------------|-----------------------------------|-----------------------------------|-----------------------------------|
| **           Amount Paid          ** |               $360                |               $340                |               $300                |               $200                |               $400                |
Person D states that the payments are not fair since each person is doing the same job and brings the same set of skills to the job. Everyone agrees that they should all get paid the same amount.
How much should each person get paid so that everyone gets the same amount? Assume that the company will spend the same amount as it currently is.
Problem 2
After finding the average or fair share payment for each person, Person E decides to not take the job because they would be making less money.
a.   If Person E leaves, then what is the new average payment of persons A–D?
b.   What impact did Person E leaving have on the average payment?
Problem 3
The company asks the five people how many hours each person worked that week to complete the job. The results are shown in the table below.
|    **           Person          **    | **           Person A          ** | **           Person B          ** | **           Person C          ** | **           Person D          ** | **           Person E          ** |
|---------------------------------------|-----------------------------------|-----------------------------------|-----------------------------------|-----------------------------------|-----------------------------------|
| **           Hours worked          ** |                24                 |                28                 |                22                 |                20                 |                36                 |
What is the mean, or average, number of hours worked by a person last week?


aligns: no