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: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
problem_activity: Problem 1
A new park is being built in the city. In the park, there will be a cemented walkway that will wind through the park. The walkway will be completely enclosed by a short, gated fence that will line the path on all sides of the path. The blueprint for the pathway is shown in the coordinate plane below. Each square unit in the coordinate grid represents 1 square yard.
[IMG]
a.   The city budget includes enough funds to include 50 square yards of cement and 60 yards of fencing. Will the budget cover the necessary expenses for cement and fencing? Defend your answer.
b.   Two statues will be placed at points
$${(-1, 2)}$$
and
$${(-1, -4).}$$
How far apart, in yards, are the two statues?
Problem 2
You are responsible for a small plot of land in the community garden that measures
$$9$$
ft.
$$\times $$
$$9$$
ft. You want to include
$${48}$$
square feet of gardening space, and you want your garden to have at least one rectangle shape and at least one triangle shape.
Draw a possible plan for your garden on the grid below. Make sure you do not go outside of the
$$9$$
ft.
$$\times $$
$$9$$
ft. space.
[IMG]


aligns: yes