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: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.  For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.
problem_activity: Problem 1
The functions below are parent functions. Graph each one. Use either technology or a table of values where needed.
$${y=x}$$
$${y=x}^2$$
$${y=x}^3$$
$${y=|x|}$$
$${y=\sqrt{x}}$$
$${y=\sqrt[3]{x}}$$
Problem 2
Consider the two functions below.
$${{f(x)}=|x|}$$
$${{g(x)}=|x|+2}$$
Create a table of values for each function and use it to graph each function in the coordinate plane.
Looking at the tables and the graphs, what changed from the parent function,
$${f(x)}$$
, to the new function,
$${g(x)}$$
? What is the same?
Look at the corresponding work in the Desmos activity,
Introduction to Transformations of Functions
, slides 3–6.
Problem 3
Predict what the tables and graph would look like for each function below. Then refer to slide 7 in the Desmos activity,
Introduction to Transformations of Functions
, to try out other values for
$$k$$
.
$${y=|x|+5}$$
$${y=|x|-1}$$
$$y=|x|+k$$
A different parent function and transformations are shown below. Predict what each graph would look like. Then refer to slides 8–14 in the Desmos activity.
$${y=x^2}$$
$${y=x^2}+5$$
$${y=x^2}-1$$
$${y=x^2}+k$$


aligns: yes