few_shots: 
Example 1:
Concept/skill: 
Represent addition and subtraction with objects, fingers, mental images, drawings (Drawings need not show details, but should show the mathematics in the problem. (This applies wherever drawings are mentioned in the Standards.)), sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.

Problem/activity:
Task
Materials
One 10-frame per pair of students (see example below)
[IMG]
Counters, 10 per pair of students
Decks of number cards 0-5 (with 4 of each number) or two 0-5 dice
Setup
This activity is done in pairs. The students sit side by side with 10-frame and deck of cards or dice. If they have cards, the cards are shuffled and placed face down in front of them.
Action
Player 1 flips a card or rolls the die. They place that many counters on the 10-frame. Player 2 flips a card or rolls the die. They place that many more counters on the 10-frame next to the counters already on the ten frame. The students count the total together.
A recording sheet can be added when the students have been introduced to equations and number sentences. For those students who can handle higher numbers, a deck of 0-10 cards and two 10-frames can be used.
This game can also be played alone.


Answer: 
Yes. This task involves representing addition with objects such as number cards and dice.

Example 2:
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.

Example 3:
Concept/skill: 
Fluently multiply multi-digit whole numbers using the standard algorithm.

Problem/activity:
Problem 1
Solve using the standard algorithm. If you get stuck, use an area model and/or the partial products algorithm to help. Then assess the reasonableness of your answer.
a.
$$5,803\times46$$
b.
$$63\times2,116$$
Problem 2
Dunkin' introduced a croissant doughnut in 2014. In the first three months of its debut, they sold 7,870 dozen of them per day. How many croissant doughnuts were sold in the first three months?


Answer: 
Yes. This set of problems involves multi-digit whole numbers because the numbers in each problem are four and two digit integers, and the mathematical calculations involved in both problems focus on multiplication. The first problem explicitly asks the student to solve its subproblems using the standard algorithm.

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

shot_info: im_task_001477_pos_0

K

im_task_000157_neg_0

3

fl_problem_000674_pos_0

5
standard_description: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).
problem_activity: Task
Students were asked to report how far (in miles) they each live from school. The following distances were recorded.
{"table": [{"tbody": [{"tr": [{"td": [{"p": [{}]}, {"p": [{"_value": "Student"}]}, {"p": [{"_value": "Distance"}]}]}, {"td": [{"p": [{"_value": "1"}]}, {"p": [{"_value": "Zane"}]}, {"p": [{"_value": "0.4"}]}]}, {"td": [{"p": [{"_value": "2"}]}, {"p": [{"_value": "Jackson"}]}, {"p": [{"_value": "0.5"}]}]}, {"td": [{"p": [{"_value": "3"}]}, {"p": [{"_value": "Benjamin"}]}, {"p": [{"_value": "1.0"}]}]}, {"td": [{"p": [{"_value": "4"}]}, {"p": [{"_value": "Bethany"}]}, {"p": [{"_value": "1.0"}]}]}, {"td": [{"p": [{"_value": "5"}]}, {"p": [{"_value": "Joe"}]}, {"p": [{"_value": "2.4"}]}]}, {"td": [{"p": [{"_value": "6"}]}, {"p": [{"_value": "Noelle"}]}, {"p": [{"_value": "2.7"}]}]}, {"td": [{"p": [{"_value": "7"}]}, {"p": [{"_value": "Tianye"}]}, {"p": [{"_value": "3.0"}]}]}, {"td": [{"p": [{"_value": "8"}]}, {"p": [{"_value": "Anthony"}]}, {"p": [{"_value": "3.2"}]}]}, {"td": [{"p": [{"_value": "9"}]}, {"p": [{"_value": "Amanda"}]}, {"p": [{"_value": "4.1"}]}]}, {"td": [{"p": [{"_value": "10"}]}, {"p": [{"_value": "Michaela"}]}, {"p": [{"_value": "4.2"}]}]}, {"td": [{"p": [{"_value": "11"}]}, {"p": [{"_value": "Miranda"}]}, {"p": [{"_value": "4.4"}]}]}, {"td": [{"p": [{"_value": "12"}]}, {"p": [{"_value": "Joseph"}]}, {"p": [{"_value": "5.0"}]}]}, {"td": [{"p": [{"_value": "13"}]}, {"p": [{"_value": "John"}]}, {"p": [{"_value": "7.5"}]}]}]}]}]}
1.  Summary statistics for the distances are given below.
{"table": [{"tbody": [{"tr": [{"td": [{"p": [{"_value": "Min"}]}, {"p": [{"_value": "Q1"}]}, {"p": [{"_value": "Median"}]}, {"p": [{"_value": "Q3"}]}, {"p": [{"_value": "Max"}]}, {"p": [{"_value": "Mean"}]}]}, {"td": [{"p": [{"_value": "0.4"}]}, {"p": [{"_value": "1.0"}]}, {"p": [{"_value": "3.0"}]}, {"p": [{"_value": "4.3"}]}, {"p": [{"_value": "7.5"}]}, {"p": [{"_value": "3.03"}]}]}]}]}]}
Construct a box plot for the distances and describe the main features of the distribution.
2.  John currently lives furthest from school. Would you consider his distance from school (7.5 miles) to be ”unusual"? Explain.
3.  John’s family is considering moving to a house that is 10 miles from school. How will this move affect the summary statistics? Change John’s distance from 7.5 miles to 10 miles and complete the table based on this new data.
{"table": [{"tbody": [{"tr": [{"td": [{"p": [{"_value": "Min"}]}, {"p": [{"_value": "Q1"}]}, {"p": [{"_value": "Median"}]}, {"p": [{"_value": "Q3"}]}, {"p": [{"_value": "Max"}]}, {"p": [{"_value": "Mean"}]}]}, {"td": [{"p": [{}]}, {"p": [{}]}, {"p": [{}]}, {"p": [{}]}, {"p": [{}]}, {"p": [{}]}]}]}]}]}
Has the mean increased, decreased or remained unchanged? Has the median increased, decreased or remained unchanged? Explain how John’s move has affected these measures of center.
4.  Construct a boxplot of the distances after John's move. Would you consider John's new distance from school (10 miles) to be "unusual" now? Explain.
5.  A data point can be considered an “outlier” if it is more than 1.5 times the IQR above Q3 or more than 1.5 times the IQR below Q1. Using this description of an outlier, was John’s distance from school considered an outlier before the move? How about after the move? Support your answer with appropriate work.
6.  Zane lives closest to school. Using the description of an outlier given in question 5, is his distance considered an outlier?


aligns: yes