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: 
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
 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: 
Yes. By arranging the fractions in this problem, students learn to compare fractions by reasoning about their size.

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_pos_0

3

fl_problem_000674_pos_0

5
standard_description: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.
problem_activity: In Class Launch
Use after Unit 1, Lesson 15
Ask students to think about a question they are interested in that they would need to gather data in order to answer. They will choose one of these questions, find data relevant to it, and present their results with a data display or an infographic. Either show students examples of infographics or ask them to look up a few examples.
Students can be arranged in groups in advance, or they can choose groups based on the questions they are most interested in.
Teacher Instructions
Students may not be able to find the information they need to answer the question they were originally interested in. They can refine and change their question to align with the data available.
If students are not sure where to begin, it might be helpful for them to think about questions that compare two groups, since they have been doing a lot of work with comparing data sets using measures of center and variability, and this is the kind of data analysis they will be expected to do.
Student-Facing Statement
Choose a question that you think is interesting and that you do not know the answer to. You will gather data relevant to this question by either doing an experiment or researching available data, so choose a reasonable question.
Write your question.
What do you predict you will learn from the data?
Next, gather your data. Then choose one of these options for displaying your data and answer the questions about it.
Option 1: Create a display that shows the distribution of the data. Include both measures of center and measures of variability.
Why is the data display you selected the best way to summarize your data?
Is any of the data surprising?
Are there any outliers? If so, tell their story. If not, why do you think not?
Describe the shape of the distribution.
Option 2: Use an infographic to summarize what you found.
Why is an infographic the best way to summarize your data?
Is any of the data surprising?
What story does your infographic tell?
Now that you have seen some data, is there another, related question you would like to study or some additional data you would like to collect?
Teacher Instructions
Give students a source of data and let them explore it for a few minutes and share observations in pairs or groups before they begin working on the task statement. This task can be further scaffolded by giving students data that is easier to work with.
If students are not sure where to begin, it might be helpful for them to think about questions that compare two groups, since they have been doing a lot of work with comparing data sets using measures of center and variability, and this is the kind of data analysis they will be expected to do.
Student-Facing Statement
What are some questions that you might be able to answer with the given data?
Choose one of your questions to try to answer. What do you predict the data will tell you?
Look for data that’s relevant to your question. You might have to change your question a little if you can’t find the data you need to answer the original question. When you have an answer, choose a way of displaying the data that will help other people understand what you learned.
Option 1: Create a display that shows the distribution of the data. Include both measures of center and measures of variability.
Why is the data display you selected the best way to summarize your data?
Is any of the data surprising?
Are there any outliers? If so, tell their story. If not, why do you think not?
Describe the shape of the distribution.
Option 2: Use an infographic to summarize what you found.
Why is an infographic the best way to summarize your data?
Is any of the data surprising?
What story does your infographic tell?
Now that you have seen some data, is there another, related question you would like to study or some additional data you would like to collect?


aligns: yes