few_shots: 
Example:
Concept/skill: 
Understand a fraction as a number on the number line; represent fractions on a number line diagram.
 Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.

Problem/activity:
Task
 Arrange the fractions in order from least to greatest. Explain your answer with a picture.
 $\frac{1}{5}, \frac{1}{7}, \frac{1}{3} $
 $\frac{2}{5}, \frac{2}{7}, \frac{2}{3} $
 $\frac{5}{6}, \frac{3}{6}, \frac{1}{6} $
 $\frac{5}{12}, \frac{8}{12}, \frac{4}{12} $

Answer: 
No. Completing this task does not involve representing fractions on a number line diagram.

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

shot_info: im_task_000157_neg_0

3
standard_description: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
problem_activity: Task
Complete the table. In the third column, show your work as demonstrated. What do you notice about the 3rd column?
{"table": [{"tbody": [{"tr": [{"th": [{"_value": "$x$"}, {"_value": "$y=2x+5$"}, {"_value": "$\\Delta y$"}]}, {"td": [{"_value": "1"}, {"_value": "7"}, {"_value": "----"}]}, {"td": [{"_value": "2"}, {"_value": "9"}, {"_value": "9 - 7 = 2"}]}, {"td": [{"_value": "3"}, {}, {}]}, {"td": [{"_value": "4"}, {}, {}]}, {"td": [{"_value": "5"}, {}, {}]}]}]}]}
Complete the table, showing your work as above. What do you notice about the 3rd column? What is the graphical interpretation of this?
{"table": [{"tbody": [{"tr": [{"th": [{"_value": "$x$"}, {"_value": "$y=ax+b$"}, {"_value": "$\\Delta y$"}]}, {"td": [{"_value": "1"}, {"_value": "$a\\cdot\u00a01 +b$"}, {"_value": "---"}]}, {"td": [{"_value": "2"}, {"_value": "$a \\cdot\u00a02 +b$"}, {"_value": "$a\\cdot\u00a02+b - (a\\cdot\u00a01 + b) = a$"}]}, {"td": [{"_value": "3"}, {}, {}]}, {"td": [{"_value": "4"}, {}, {}]}, {"td": [{"_value": "5"}, {}, {}]}]}]}]}
Let $y=ax+b$. Let $x_0$ be any particular $x$-value. Show that if $x_0$ is increased by 1, the corresponding $\Delta y$ is a constant that does not depend on $x_0$. What is this constant?
Does (a) serve as an example of the result in (c) ? Explain.


aligns: no