few_shots: Example:
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} $

Topic options: 
A. Ratios & Proportional Relationships: students learn to recognize, describe, represent, and reason with ratios, rates, proportional relationships, and percent.
B. Geometry: students learn to classify geometric figures by their properties, and understand and compare the relationships between them. Students develop and use formulas to compute lengths, areas, and volumes, and they use transformations to generate new shapes and compare existing ones. Geometry can be studied with and without coordinates.
C. Statistics & Probability: students learn to analyze and produce data distributions, and build understanding of univariate and bivariate data. They learn to interpret data, make statistical inferences, justify conclusions, understand rules of probability, and use probability to make decisions.
D. Modeling: students learn to choose and use appropriate mathematics and statistics to analyze real-world empirical situations, improve decisions, and report on their conclusions and the reasoning behind them.
E. Operations & Algebra: students learn to solve problems using algebraic thinking and operations such as addition, subtraction, multiplication, and division. They may learn to identify and explain arithmetic patterns, evaluate or manipulate numerical expressions, and reason with equations and inequalities.
F. Number & Operations in Base Ten: students learn to work with the base-ten system and build place value understanding.
G. Number & Operations - Fractions: students learn to understand fractions as numbers and may work with them using addition, subtraction, multiplication, and division.
H. Functions: students learn to define, use, and evaluate functions to model relationships between quantities.
I. Measurement & Data: students learn to work with data and measure attributes such as time, money, length, area, and volume. They may learn to compare measurements to operations and convert between different units of measure.
J. Counting & Cardinality: students learn to know number names and the count sequence, count to tell the number of objects, and compare numbers.
K. Number Systems and Quantity: students learn to understand the complex number system and reason quantitatively.


Your response:
Thought: In this problem, students learn to understand fractions as numbers by comparing their sizes.
Answer: G

Now, assign the following problem or activity to one or more relevant topics it teaches.
shot_info: im_task_000157

3
options: Modeling: students learn to choose and use appropriate mathematics and statistics to analyze real-world empirical situations, improve decisions, and report on their conclusions and the reasoning behind them.

Ratios & Proportional Relationships: students learn to recognize, describe, represent, and reason with ratios, rates, proportional relationships, and percent.

Statistics & Probability: students learn to analyze and produce data distributions, and build understanding of univariate and bivariate data. They learn to interpret data, make statistical inferences, justify conclusions, understand rules of probability, and use probability to make decisions.

Operations & Algebra: students learn to solve problems using algebraic thinking and operations such as addition, subtraction, multiplication, and division. They may learn to identify and explain arithmetic patterns, evaluate or manipulate numerical expressions, and reason with equations and inequalities.

Number & Operations in Base Ten: students learn to work with the base-ten system and build place value understanding.

Measurement & Data: students learn to work with data and measure attributes such as time, money, length, area, and volume. They may learn to compare measurements to operations and convert between different units of measure.

Geometry: students learn to classify geometric figures by their properties, and understand and compare the relationships between them. Students develop and use formulas to compute lengths, areas, and volumes, and they use transformations to generate new shapes and compare existing ones. Geometry can be studied with and without coordinates.

Counting & Cardinality: students learn to know number names and the count sequence, count to tell the number of objects, and compare numbers.

Number Systems and Quantity: students learn to understand the complex number system and reason quantitatively.

Functions: students learn to define, use, and evaluate functions to model relationships between quantities.

Number & Operations - Fractions: students learn to understand fractions as numbers and may work with them using addition, subtraction, multiplication, and division.
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?


correct_option_index: 2