few_shots: Example:
Problem/activity:
Task
Cruz and Erica were both getting ready for soccer.
Cruz ran 1 lap around the school.
Erica ran 3 laps around the playground.
Erica said,
I ran more laps, so I ran farther.
Cruz said,
4 laps around the school is 1 mile, but it takes 12 laps around the playground to go 1 mile. My laps are much longer, so I ran farther.
Who is right? Draw a picture to help you explain your answer.


Standard options: 
A. Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
B. Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.


Your response:
Thought: This task asks students to compare two fractions that are equal. The two fractions have different numerators and denominators (e.g. 1/4 and 3/12). The students need to explain why the two fractions are equal by drawing a picture, which involves using visual fraction models.
Answer: A, B

Now, assign the following problem or activity to one or more relevant standards it aligns with.
shot_info: im_task_000212

4
options: Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units— whole numbers, halves, or quarters.

Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step “how many more” and “how many less” problems using information presented in scaled bar graphs. For example, draw a bar graph in which each square in the bar graph might represent 5 pets.
problem_activity: Narrative
The purpose of this activity is for students to analyze a line plot that represents lengths that are measured to the nearest half inch. They make observations and write statements about the data represented in the line plot, and then generate questions that could be answered with the line plot. When students recognize how organizing data helps to read the information and to answer questions, they learn that line plots are a powerful tool to present data (MP5).
Launch
Groups of 2
Display the list and line plot.
“The list and the line plot both show the heights of seedlings. A seedling is a young plant. Where have you seen seedlings before?” (At the park. In a garden.)
“Looking at the list, can we tell the height of the shortest seedling?” (Yes,
\(\frac{1}{2}\)
inch). “What about the tallest seedling?” (Yes, 5 inches)
“Draw a quick sketch of the shortest seedling and the tallest seedling at their actual heights. Use what you know about the length of an inch.”
1 minute: independent work time
“Share your sketches with your partner.”
“What else can we tell about the seedlings from looking at the list?” (Twenty-two seedlings were measured. There are two seedlings that are 3 inches tall.)
1 minute: partner discussion
Share responses.
Activity
“Now, take a close look at the line plot. Think about what information we can gather from the line plot and what questions it can help to answer.”
“Work with your partner to complete these problems.”
7–10 minutes: partner work time
Student Facing
heights of seedlings (in inches)
\(\frac{1}{ 2}\)
1
1
\(\frac{1}{ 2}\)
\(1\frac{1}{ 2}\)
\(2\frac{1}{ 2}\)
4
\(\frac{1}{ 2}\)
3
\(1\frac{1}{ 2}\)
5
\(1\frac{1}{2}\)
\(1\frac{1}{2}\)
\(2\frac{1}{2}\)
3
\(\frac{1}{2}\)
\(2\frac{1}{2}\)
\(1\frac{1}{2}\)
1
\(1\frac{1}{2}\)
4
2
[IMG]
[IMG]
Write 3 statements about the measurements represented in the line plot.
What questions could be answered more easily with the line plot than the list? Write at least 2 questions.
Student Response
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Activity Synthesis
Display the list and the line plot.
“How is the information displayed in the line plot different from that in the list?” (In the line plot, all the measurements that are the same length are together. The measurements go from smallest to largest along the bottom. In the line plot, we don’t keep writing the numbers over and over, we would just use an x for each measurement.)
“What were some questions that could be more easily answered with the line plot than the list?” (“How many seedlings were 3 inches tall?” because we could just count the x’s at 3 instead of searching through the list. “What’s the shortest seedling?” because we can find the x on the left end of the scale. “Which seedling height was the most common?” because we can see which number has the most x’s.)


correct_option_index: 0