few_shots: 
Example:
Concept/skill: 
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
Cruz and Erica were both getting ready for soccer.
Cruz ran 1 lap around the school.
Erica ran 3 laps around the playground.
Erica said,
I ran more laps, so I ran farther.
Cruz said,
4 laps around the school is 1 mile, but it takes 12 laps around the playground to go 1 mile. My laps are much longer, so I ran farther.
Who is right? Draw a picture to help you explain your answer.


Answer: 
Yes. This task asks students to compare two fractions that are equal. The students need to explain why the two fractions are equal by drawing a picture, which involves using visual fraction models.

Now, assess whether the following problem or activity is 'aligned' with the given Common Core standard in Mathematics.

shot_info: im_task_000212_pos_0

4
standard_description: Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.
problem_activity: Problem 1
Part A: Predict the shape of the graph at 2,000 trials.
{"table": [{"_attributes": {"class": ["table"], "style": "width:100%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align:center"}, "_value": "10 trials"}, {"_attributes": {"style": "text-align:center"}, "_value": "100 trials"}, {"_attributes": {"style": "text-align:center"}, "_value": "533 trials"}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "img": [{"_attributes": {"alt": "", "src": "https://d37su8u1z9ynie.cloudfront.net/uploads/2018/06/05/algiiu8_l7_at1.png", "style": "height:122px; width:300px"}}]}, {"_attributes": {"style": "text-align:center"}, "img": [{"_attributes": {"alt": "", "src": "https://d37su8u1z9ynie.cloudfront.net/uploads/2018/06/05/algiiu8_l7_at1a.png", "style": "height:115px; width:300px"}}]}, {"_attributes": {"style": "text-align:center"}, "img": [{"_attributes": {"alt": "", "src": "https://d37su8u1z9ynie.cloudfront.net/uploads/2018/06/05/algiiu8_l7_at1b.png", "style": "height:120px; width:300px"}}]}]}]}]}]}
Part B: At 1,799 trials, the graph looks like this:
[IMG]
The mean of the data is approximately 6, and the standard deviation is 1.7. The blue lines around the graph are what should be the "ideal" normal distribution.
Describe what the mean and the standard deviation mean in terms of this situation.
Problem 2
Match the following distributions with the histograms. Explain your reasoning.
{"table": [{"_attributes": {"align": "center", "class": ["table"], "style": "width:80%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Distribution"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Shape"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Mean"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Standard Deviation"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "A"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Skewed to the right"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "100"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "10"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "B"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Approximately symmetric, mound shaped"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "100"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "10"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "C"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Approximately symmetric, mound shaped"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "100"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "40"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "D"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Skewed to the right"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "100"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "40"}]}]}]}]}]}
[IMG]


aligns: no