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: Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
problem_activity: Task
Complete the table.
|       Fraction       |          Expanded Fraction Form          | Expanded Decimal Form | Decimal |
|----------------------|------------------------------------------|-----------------------|---------|
| $43 \frac{65}{100}$  | $40 + 3 + \frac{6}{10} + \frac{5}{100} $ | $40 + 3 + 0.6 + 0.05$ | $43.65$ |
| $21 \frac{90}{100}$  |                                          |                       |         |
| $40  \frac{76}{100}$ |                                          |                       |         |
| $7  \frac{82}{100}$  |                                          |                       |         |
|  $18 \frac{3}{100}$  |                                          |                       |         |


aligns: no