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: Interpret expressions that represent a quantity in terms of its context.
problem_activity: Problem 1
The scatterplot below displays the elevation and mean number of clear days per year of  U.S. cities. Two lines are shown on the scatterplot. Which represents the least squares line? Explain your choice.
[IMG]
Problem 2
Below is a scatter plot of foal birth weight and mare’s weight.
[IMG]
The equation of the least squares line for the data is
$${y=-19.6+0.248x}$$
, where
$$x$$
= mare’s weight (in kg) and
$$y$$
= foal’s birth weight (in kg).  What foal birth weight would you predict for a mare that weighs 520 kg?
How would you interpret the value of the slope in the least squares line?


aligns: no