few_shots: Example:
Problem/activity:
Narrative
The purpose of this activity is for students to create composite shapes and compose new shapes from composite shapes. For example, students may find that a rectangular prism can be made from four triangular prisms or from eight smaller cubes. Students then discover that they can combine two of the composed rectangular prisms to make a new rectangular prism.
Required Materials
Materials to Gather
Geoblocks
Launch
Groups of 4
Give each group geoblocks.
Display a large cube.
“This cube can be built from other shapes. See how many ways you can build a cube using other shapes.”
3 minutes: partner work time
Share responses.
Activity
“Choose a different shape. Try to find smaller shapes you can use to build that shape.”
5 minutes: partner work time
Student Response
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Activity Synthesis
Display a cube and a composite cube—for example, a cube composed of four small cubes and one rectangular prism.
Demonstrate putting the shapes together.
“What new shape did I make with the cube and the cube I made?”
“Put your shapes together to make a rectangular prism.”
Display a rectangular prism and two triangular prisms.
“Find these shapes. Put them together. What new shape can you make?” (a cube, a rectangular block)


Standard options: 
A. Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.
B. Distinguish between defining attributes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall size); build and draw shapes to possess defining attributes.
C. Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, and quarter-circles) or three-dimensional shapes (cubes, right rectangular prisms, right circular cones, and right circular cylinders) to create a composite shape, and compose new shapes from the composite shape. (Students do not need to learn formal names such as “right rectangular prism.”)


Your response:
{
  "explanation": "This activity asks students to compose three-dimensional shapes, using geoblocks, to create composite shapes.",
  "answer": "C"
}

Now, assign the following problem or activity to one or more relevant standards it aligns with.
shot_info: im_lesson_009431

1
options: Understand statistics as a process for making inferences about population parameters based on a random sample from that population.

Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model?
problem_activity: Problem 1
Part A: Predict the shape of the graph at 2,000 trials.
{"table": [{"_attributes": {"class": ["table"], "style": "width:100%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align:center"}, "_value": "10 trials"}, {"_attributes": {"style": "text-align:center"}, "_value": "100 trials"}, {"_attributes": {"style": "text-align:center"}, "_value": "533 trials"}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "img": [{"_attributes": {"alt": "", "src": "https://d37su8u1z9ynie.cloudfront.net/uploads/2018/06/05/algiiu8_l7_at1.png", "style": "height:122px; width:300px"}}]}, {"_attributes": {"style": "text-align:center"}, "img": [{"_attributes": {"alt": "", "src": "https://d37su8u1z9ynie.cloudfront.net/uploads/2018/06/05/algiiu8_l7_at1a.png", "style": "height:115px; width:300px"}}]}, {"_attributes": {"style": "text-align:center"}, "img": [{"_attributes": {"alt": "", "src": "https://d37su8u1z9ynie.cloudfront.net/uploads/2018/06/05/algiiu8_l7_at1b.png", "style": "height:120px; width:300px"}}]}]}]}]}]}
Part B: At 1,799 trials, the graph looks like this:
[IMG]
The mean of the data is approximately 6, and the standard deviation is 1.7. The blue lines around the graph are what should be the "ideal" normal distribution.
Describe what the mean and the standard deviation mean in terms of this situation.
Problem 2
Match the following distributions with the histograms. Explain your reasoning.
{"table": [{"_attributes": {"align": "center", "class": ["table"], "style": "width:80%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Distribution"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Shape"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Mean"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Standard Deviation"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "A"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Skewed to the right"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "100"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "10"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "B"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Approximately symmetric, mound shaped"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "100"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "10"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "C"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Approximately symmetric, mound shaped"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "100"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "40"}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "D"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "Skewed to the right"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "100"}]}, {"_attributes": {"style": "text-align:center"}, "strong": [{"_value": "40"}]}]}]}]}]}
[IMG]


correct_option_index: 0