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.


Mathematical concept/skill options: 
A. Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
B. Extend understanding of fraction equivalence and ordering.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
C. Use equivalent fractions as a strategy to add and subtract fractions.
D. Develop Understanding of fractions as numbers.
Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.
E. Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
F. Understand decimal notation for fractions, and compare decimal fractions.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.


Your response, in json format:
{
  "explanation": "In this problem, students learn to recognize equivalent fractions. That is, three laps around the playground is 3/12 mile, which is equivalent to 1/4, which is one lap around the school.",
  "answer": "B"
}

Now, assign the following problem or activity to one or more relevant mathematical concepts/skills it teaches.
shot_info: im_task_000212

4
options: Translate between the geometric description and the equation for a conic section.

Solve real-world and mathematical problems involving area, surface area, and volume.

Apply trigonometry to general triangles.

Reason with shapes and their attributes.

Understand and apply theorems about circles.

Explain volume formulas and use them to solve problems.

Graph points on the coordinate plane to solve real-world and mathematical problems.

Apply geometric concepts in modeling situations.

Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).

Find arc lengths and areas of sectors of circles.

Experiment with transformations in the plane.

Make geometric constructions.

Analyze, compare, create, and compose shapes.

Prove geometric theorems.

Visualize relationships between two-dimensional and three-dimensional objects.

Classify two-dimensional figures into categories based on their properties.

Understand and apply the Pythagorean Theorem.

Understand congruence and similarity using physical models, transparencies, or geometry software.

Prove theorems involving similarity.

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

Draw, construct, and describe geometrical figures and describe the relationships between them.

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Understand similarity in terms of similarity transformations.

Define trigonometric ratios and solve problems involving right triangles.

Use coordinates to prove simple geometric theorems algebraically.

Understand congruence in terms of rigid motions.

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
problem_activity: Narrative
The purpose of this activity is for students to identify and name shapes in the environment. The shape walk can take place in the playground, library, or another area of the school. It may be easier for students to use their recording sheet if it is on a clipboard.
When students recognize mathematical features of objects in the real world, they model with mathematics (MP4).
Engagement: Develop Effort and Persistence.
Students may benefit from chunking this task into smaller parts. Invite students to look for one shape at a time. Check in with students to provide feedback and encouragement after recording each shape.
Supports accessibility for: Conceptual Processing
Required Materials
Materials to Gather
Clipboards
Launch
Groups of 2
“We are going to take a walk around the playground. Look for examples of triangles, rectangles, and circles around the playground. Tell your partner about the shapes you find and draw pictures or write words to record what you find.”
Activity
10 minutes: shape walk
“Write a number to show how many of each shape you found.”
2 minutes: independent work time
Student Facing
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Synthesis:
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Student Response
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Activity Synthesis
Invite students to share their recording sheets and the shapes that they found.
Display the image or an example from the playground:
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“Han found this swing on the playground. Where should he draw this on the recording sheet?” (The swing looks like a rectangle so he could draw it with the rectangles. The sides of the swing look like triangles.)


correct_option_index: 8

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