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 following problem or activity enable students to learn the full intent of the following concept or skill?

shot_info: fl_problem_001097_pos_0

7
standard_description: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. (Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade.)
problem_activity: Problem 1
Nolan gives some Fruit-by-the-Foot to his
$$3$$
friends to share equally.
a.   If he has
$$3$$
feet of Fruit-by-the-Foot, how many feet of Fruit-by-the-Foot will each friend receive?
b.   If he has
$$1$$
foot of Fruit-by-the-Foot, how many feet of Fruit-by-the-Foot will each friend receive?
c.   If he has
$${1\over2}$$
foot of Fruit-by-the-Foot, how many feet of Fruit-by-the-Foot will each friend receive?
d.   If he has
$${1\over3}$$
foot of Fruit-by-the-Foot, how many feet of Fruit-by-the-Foot will each friend receive?
Problem 2
Priya and Mai used the diagrams below to find the value of
$$\frac13 \div 4$$
.
|                      **             Priya’s diagram:            **                       |                       **             Mai’s diagram:            **                        |
|------------------------------------------------------------------------------------------|------------------------------------------------------------------------------------------|
| .. image:: https://d21royfkw9g4l6.cloudfront.net/uploads/2022/05/05/g5mathu5l19_at2a.png | .. image:: https://d21royfkw9g4l6.cloudfront.net/uploads/2022/05/05/g5mathu5l19_at2b.png |
a.   What is the same about the diagrams?
b.   What is different?
c.   Find the value that makes the equation true.
$$\frac13 \div 4 =$$
____
Problem 3
a.    Solve. Then check your work.
$${{1\over5}\div2}$$
$${{1\over6}\div4}$$
$${{1\over9}\div6}$$
b.   What do you notice in Part (a)? What do you wonder?


aligns: yes