few_shots: 
Example:
Concept/skill: 
Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.
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: 
No. This task does not involve comparing decimals to hundredths. Instead, it involves fraction comparisons.

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

shot_info: im_task_000212_neg_0

4
standard_description: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
problem_activity: Problem 1
Determine the rate of change in each situation. Then describe the relationship using function language (for example, ____ is a function of ____ because _____.)
a.
{"table": [{"_attributes": {"class": ["table", "table-bordered"], "style": "width: 100%;"}, "tbody": [{"tr": [{"th": [{"_attributes": {"scope": "row"}, "_value": "Amt of watermelon in pounds,", "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$x$$"}]}], "td": [{"_attributes": {"style": "text-align: center;"}, "_value": "0"}, {"_attributes": {"style": "text-align: center;"}, "_value": "0.25"}, {"_attributes": {"style": "text-align: center;"}, "_value": "0.5"}, {"_attributes": {"style": "text-align: center;"}, "_value": "1.5"}, {"_attributes": {"style": "text-align: center;"}, "_value": "2"}, {"_attributes": {"style": "text-align: center;"}, "_value": "3"}, {"_attributes": {"style": "text-align: center;"}, "_value": "5"}]}, {"th": [{"_attributes": {"scope": "row"}, "_value": "Cost of watermelon in dollars,", "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$y$$"}]}], "td": [{"_attributes": {"style": "text-align: center;"}, "_value": "0"}, {"_attributes": {"style": "text-align: center;"}, "_value": "0.35"}, {"_attributes": {"style": "text-align: center;"}, "_value": "0.70"}, {"_attributes": {"style": "text-align: center;"}, "_value": "2.10"}, {"_attributes": {"style": "text-align: center;"}, "_value": "2.80"}, {"_attributes": {"style": "text-align: center;"}, "_value": "4.20"}, {"_attributes": {"style": "text-align: center;"}, "_value": "7.00"}]}]}]}]}
b.
$${d=25t}$$
, where
$$d$$
is distance in miles and
$$t$$
is time in hours
c.    Giovanni can decorate
$$2$$
cakes,
$$c$$
, every
$$5$$
hours,
$$h$$
.
Problem 2
Determine the starting or initial output value in each situation.
a.
{"table": [{"_attributes": {"align": "Center", "class": ["table", "table-bordered"], "style": "width:80%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "background-color:#eeeeee"}, "strong": [{"_value": "Distance traveled in cab in miles,", "em": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$x$$"}]}]}]}, {"_attributes": {"style": "text-align:center"}, "_value": "0"}, {"_attributes": {"style": "text-align:center"}, "_value": "1"}, {"_attributes": {"style": "text-align:center"}, "_value": "3"}, {"_attributes": {"style": "text-align:center"}, "_value": "4"}]}, {"td": [{"_attributes": {"style": "background-color:#eeeeee"}, "strong": [{"_value": "Cost of cab ride in dollars,", "em": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$y$$"}]}]}]}, {"_attributes": {"style": "text-align:center"}, "_value": "2.50"}, {"_attributes": {"style": "text-align:center"}, "_value": "4.75"}, {"_attributes": {"style": "text-align:center"}, "_value": "9.25"}, {"_attributes": {"style": "text-align:center"}, "_value": "11.50"}]}]}]}]}
b.
{"table": [{"_attributes": {"align": "Center", "class": ["table", "table-bordered"], "style": "width:80%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "background-color:#eeeeee"}, "strong": [{"_value": "Distance traveled in cab in miles,", "em": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$x$$"}]}]}]}, {"_attributes": {"style": "text-align:center"}, "_value": "1"}, {"_attributes": {"style": "text-align:center"}, "_value": "2"}, {"_attributes": {"style": "text-align:center"}, "_value": "4"}, {"_attributes": {"style": "text-align:center"}, "_value": "5"}]}, {"td": [{"_attributes": {"style": "background-color:#eeeeee"}, "strong": [{"_value": "Cost of cab ride in dollars,", "em": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$y$$"}]}]}]}, {"_attributes": {"style": "text-align:center"}, "_value": "4.50"}, {"_attributes": {"style": "text-align:center"}, "_value": "7.00"}, {"_attributes": {"style": "text-align:center"}, "_value": "12.00"}, {"_attributes": {"style": "text-align:center"}, "_value": "14.50"}]}]}]}]}
c.
$${p=16d+20}$$
where
$$p$$
is the total number of pages read in a book and
$$d$$
is the number of days
Problem 3
The function formula below shows the relationship between temperature in degrees Fahrenheit and degrees Celsius. °F is a function of °C.
$${F=\frac{9}{5}C+32}$$
a.   Determine what 28°C is in °F.
b.   Determine what 23°F is in °C.


aligns: yes