few_shots: 
Example:
Concept/skill: 
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

Problem/activity:
Find the general solution for:
$${\mathrm{cos}\left({\pi\over2}+x\right)=\mathrm{tan}{\pi\over4}}$$


Answer: 
No. This problem does not directly teach how side ratios in right triangles lead to definitions of trigonometric ratios. Instead, it involves solving a trigonometric function.

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

shot_info: fl_problem_001894_neg_0

HS_0
standard_description: Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.
problem_activity: Problem 1
The table below shows the distance that Ms. Smith's fourth graders ran before stopping for a rest.
{"table": [{"_attributes": {"align": "Center", "class": ["table", "table-bordered"], "style": "table-layout:fixed; width:50%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "_value": "Student"}, {"_attributes": {"style": "background-color:#eeeeee; text-align:center"}, "_value": "Distance (in miles)"}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Joe"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${2{1\\over2}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Arianna"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${1{3\\over4}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Bobbi"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${2{1\\over8}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Morgan"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${1{{5\\over8}}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Jack"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${2{{5\\over8}}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Sasha"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${2{1\\over4}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Tyler"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${2{2\\over4}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Jenny"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${{5\\over8}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Anson"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${2{2\\over8}}$$"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "_value": "Chandra"}, {"_attributes": {"style": "text-align:center"}, "span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$${2{4\\over8}}$$"}]}]}]}]}]}
Using the information in the table, answer the following questions:
a.   What was the longest distance a student ran?
b.   What was the shortest distance a student ran?
c.   What was the most common distance that students ran?
Problem 2
Use the data from Anchor Task #1 to create a line plot.
Problem 3
a.   With a partner or group, gather a handful of round buttons from a diverse collection and use a ruler to measure the diameter of each button to the nearest eighth inch.
b.   Make a dot plot of button diameters, marking your scale in eighth-inch increments.
c.   What is the most common diameter in your collection? How does that compare with the collection from another group?
d.   Now measure the diameters of these same buttons to the nearest quarter inch.
e.   Make a dot plot of button diameters, marking your scale in quarter-inch increments.
f.   Describe the differences between the two dot plots you created. Which one gives you more information? Which one is easier to read?


aligns: yes