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: Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories. Solve simple put together, take-apart, and compare problems  using information presented in a bar graph.
problem_activity: Task
Each of the 20 students in Mr. Anderson's class timed how long it took them to solve a puzzle. Their times (in minutes) are listed below:
{"table": [{"tbody": [{"tr": [{"th": [{"_value": "Student"}], "td": [{"_value": "1"}, {"_value": "2"}, {"_value": "3"}, {"_value": "4"}, {"_value": "5"}, {"_value": "6"}, {"_value": "7"}, {"_value": "8"}, {"_value": "9"}, {"_value": "10"}, {"_value": "11"}, {"_value": "12"}, {"_value": "13"}, {"_value": "14"}, {"_value": "15"}, {"_value": "16"}, {"_value": "17"}, {"_value": "18"}, {"_value": "19"}, {"_value": "20"}]}, {"th": [{"_value": "Time (minutes)"}], "td": [{"_value": "3"}, {"_value": "5"}, {"_value": "4"}, {"_value": "6"}, {"_value": "4"}, {"_value": "8"}, {"_value": "5"}, {"_value": "4"}, {"_value": "9"}, {"_value": "5"}, {"_value": "3"}, {"_value": "4"}, {"_value": "7"}, {"_value": "5"}, {"_value": "8"}, {"_value": "6"}, {"_value": "3"}, {"_value": "6"}, {"_value": "5"}, {"_value": "7"}]}]}]}]}
Display the data using a dot plot.
Find the mean and median of the data. Does it surprise you that the values of the mean and median are not equal? Explain why or why not.


aligns: no