few_shots: 
Example:
Concept/skill: 
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.

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.


Answer: 
Yes. This task asks students to compare two fractions that are equal. The students need to explain why the two fractions are equal by drawing a picture, which involves using visual fraction models.

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

shot_info: im_task_000212_pos_0

4
standard_description: Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time intervals in minutes, e.g., by representing the problem on a number line diagram.
problem_activity: Activity
In this activity, each group is assigned a situation for which they will design and perform a simulation to estimate the probability. Students will give a short presentation on the methods and results of their simulation for the class after they have designed and run the simulation. Students will need to attend to precision (MP6) as well as present arguments (MP3) for the simulation method they chose. At this stage, students have experienced a large number of simulation methods and should be able to design their own to represent the situations using the appropriate tools (MP5).
Launch
Arrange students in groups of 3. Assign each group a question slip from the blackline master. Provide access to number cubes, compasses, protractors, rulers, paper bags, colored snap cubes, scissors, and coins. Give students 15 minutes for group work followed by a whole-class discussion.
Student Facing
Your teacher will give your group a paper describing a situation.
Design a simulation that you could use to estimate a probability. Show your thinking. Organize it so it can be followed by others.
Explain how you used the simulation to answer the questions posed in the situation.
Student Response
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Activity Synthesis
Ask each group to share their situation, their method of simulating the situation, and their results. Students should explain why their chosen method works to simulate the situation they were given. In particular, all important outcomes should be represented with the same probability as stated in the situation.
If all groups that have the same situation use the same simulation method, ask for ideas from the class about alternate methods that could be used for the situation.
For reference, the computed probabilities for each situation are:
\(\frac{5}{32} \approx 0.16\)
\(\frac{1}{64} \approx 0.02\)
\(\frac{59049}{100000} \approx 0.59\)
\(\frac{2072}{3125} \approx 0.66\)
\(\frac{181}{3125} \approx 0.06\)
Representation: Internalize Comprehension.
Use color and annotations to illustrate student thinking. As students show their representations of simulations and explain their reasoning, use color and annotations to scribe their thinking on a display of each problem so that it is visible for all students.
Supports accessibility for: Visual-spatial processing; Conceptual processing
Listening, Speaking: MLR8 Discussion Supports.
To help students explain why their chosen method works, provide sentence frames such as: “This simulation was designed so that . . .” and “The simulation and the actual event have the same probabilities because . . . .” As partners are sharing, encourage the listener to press for more explanation by asking: “Can you explain why the probabilities of the simulation and actual event match?” or “Is there another simulation that could provide the same probability?” This will help students practice justifying their simulation from their interpretation of the situation.
Design Principle(s): Maximize meta-awareness; Cultivate conversation


aligns: no