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: Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.
problem_activity: Narrative
In this activity, students solve addition problems using money based on the Pattern Block Puzzles they sketched in the last activity.
The launch of the activity is an opportunity for students to reason which of the two designs will cost more before they complete any computations.
MLR7 Compare and Connect.
Synthesis: After all strategies have been presented, lead a discussion comparing, contrasting, and connecting the different approaches. Ask, “Did anyone solve the problem the same way, but would explain it differently?”, “What did the representations have in common?”, “How were they different?”
Advances: Representing, Conversing
Launch
Groups of 2
“At the Pattern Block Store, each pattern block shape has a different price.”
Display the price list.
“Which of the two puzzles that you sketched do you think will cost more to make? Puzzle 1 or 2?”
30 seconds: quiet think time
1 minute: partner discussion
Share responses.
Activity
“Use the price list to figure out how much your two puzzles would cost.”
5 minutes: independent work time
5 minutes: partner discussion
As students work, look for different addition strategies. Monitor for students who:
add like quantities first
add bigger or smaller coins first
add some coins mentally
Student Facing
{"table": [{"_attributes": {"border": "1"}, "thead": [{"tr": [{"th": [{"_attributes": {"scope": "col"}, "_value": "shape"}, {"_attributes": {"scope": "col"}, "_value": "cost"}]}]}], "tbody": [{"tr": [{"td": [{"figure": [{"_attributes": {"class": ["embedded-content", "embedded-content-tikz-file", "embedded-content-image"], "data-embedder-target": "web", "data-record-id": "150143", "data-record-model": "TikzFile"}, "span": [{"_attributes": {"class": ["c-figure__label"]}}], "img": [{"_attributes": {"alt": "Pattern block. Hexagon.", "role": "image", "src": "https://cms-im.s3.amazonaws.com/cv5e6biplridvvjo2ed3aj5h1l0e?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-150143.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-150143.svg&response-content-type=image%2Fsvg%2Bxml&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240208%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240208T164143Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=0347509318fc91e6302bb64febc22d05e7fffde820a42d8a1c974d802d04e917"}}], "figcaption": [{"_attributes": {"class": ["c-figcaption"]}}]}]}, {"figure": [{"_attributes": {"class": ["embedded-content", "embedded-content-image-file", "embedded-content-image"], "data-embedder-target": "web", "data-record-id": "37582", "data-record-model": "ImageFile"}, "span": [{"_attributes": {"class": ["c-figure__label"]}}], "img": [{"_attributes": {"alt": "Coin. A quarter.", "class": ["h-max-height--5-lines"], "role": "image", "src": "https://cms-im.s3.amazonaws.com/mbgbaf4nkk0vsawoqjlubrf00b4z?response-content-disposition=inline%3B%20filename%3D%22quarter-back.png%22%3B%20filename%2A%3DUTF-8%27%27quarter-back.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240208%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240208T164143Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=5ac6aff10bd46b5365f46ffeab054cd6ff7d700dfc9c660e3d011fd4c9676951"}}], "figcaption": [{"_attributes": {"class": ["c-figcaption"]}}]}]}]}, {"td": [{"figure": [{"_attributes": {"class": ["embedded-content", "embedded-content-tikz-file", "embedded-content-image"], "data-embedder-target": "web", "data-record-id": "150144", "data-record-model": "TikzFile"}, "span": [{"_attributes": {"class": ["c-figure__label"]}}], "img": [{"_attributes": {"alt": "Pattern block. Trapezoid.", "role": "image", "src": "https://cms-im.s3.amazonaws.com/jbxq4b7lr973twd7cju57q0oulmj?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-150144.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-150144.svg&response-content-type=image%2Fsvg%2Bxml&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240208%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240208T164143Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=cc2008c7b66cc9ba4e3feaf6d1cf65f2728db5a857421988d5a8147858504207"}}], "figcaption": [{"_attributes": {"class": ["c-figcaption"]}}]}]}, {"figure": [{"_attributes": {"class": ["embedded-content", "embedded-content-image-file", "embedded-content-image"], "data-embedder-target": "web", "data-record-id": "37583", "data-record-model": "ImageFile"}, "span": [{"_attributes": {"class": ["c-figure__label"]}}], "img": [{"_attributes": {"alt": "A dime.", "class": ["h-max-height--3-lines"], "role": "image", "src": "https://cms-im.s3.amazonaws.com/cc7y30885x6mfqcvcubex3157eqw?response-content-disposition=inline%3B%20filename%3D%22dime-front.png%22%3B%20filename%2A%3DUTF-8%27%27dime-front.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240208%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240208T164143Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=ed89067d01fbdb1013e28bfcff88ddb6c25812308117e2bbcefd3ce44f699d7a"}}], "figcaption": [{"_attributes": {"class": ["c-figcaption"]}}]}]}]}, {"td": [{"figure": [{"_attributes": {"class": ["embedded-content", "embedded-content-tikz-file", "embedded-content-image"], "data-embedder-target": "web", "data-record-id": "150145", "data-record-model": "TikzFile"}, "span": [{"_attributes": {"class": ["c-figure__label"]}}], "img": [{"_attributes": {"alt": "Pattern block. Rhombus.", "role": "image", "src": "https://cms-im.s3.amazonaws.com/eifk4j1l1h1tmht1t4etxeq8tveu?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-150145.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-150145.svg&response-content-type=image%2Fsvg%2Bxml&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240208%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240208T164143Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=58c5ac52a6d4f25d2d6c3c613126807263a2a66bf9e4aef477a79db9cedd3c1b"}}], "figcaption": [{"_attributes": {"class": ["c-figcaption"]}}]}]}, {"figure": [{"_attributes": {"class": ["embedded-content", "embedded-content-image-file", "embedded-content-image"], "data-embedder-target": "web", "data-record-id": "37584", "data-record-model": "ImageFile"}, "span": [{"_attributes": {"class": ["c-figure__label"]}}], "img": [{"_attributes": {"alt": "Nickel.", "class": ["h-max-height--4-lines"], "role": "image", "src": "https://cms-im.s3.amazonaws.com/eafp6vkvl2h847xnayhv4z1hsgpk?response-content-disposition=inline%3B%20filename%3D%22nickel-front.png%22%3B%20filename%2A%3DUTF-8%27%27nickel-front.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240208%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240208T164143Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=364dd5652c695c8ea37c72709081c93a7d637b3606704f096422eac5b76b6266"}}], "figcaption": [{"_attributes": {"class": ["c-figcaption"]}}]}]}]}, {"td": [{"figure": [{"_attributes": {"class": ["embedded-content", "embedded-content-tikz-file", "embedded-content-image"], "data-embedder-target": "web", "data-record-id": "150146", "data-record-model": "TikzFile"}, "span": [{"_attributes": {"class": ["c-figure__label"]}}], "img": [{"_attributes": {"alt": "Pattern block. Triangle.", "role": "image", "src": "https://cms-im.s3.amazonaws.com/nwbexfpbl484uucueevlb0pvhxm8?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-150146.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-150146.svg&response-content-type=image%2Fsvg%2Bxml&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240208%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240208T164143Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=f63c01510af539188608375c3095abe0b87f05e2c40893f0cba48aec0cb42d1c"}}], "figcaption": [{"_attributes": {"class": ["c-figcaption"]}}]}]}, {"figure": [{"_attributes": {"class": ["embedded-content", "embedded-content-image-file", "embedded-content-image"], "data-embedder-target": "web", "data-record-id": "37585", "data-record-model": "ImageFile"}, "span": [{"_attributes": {"class": ["c-figure__label"]}}], "img": [{"_attributes": {"alt": "Penny.", "class": ["h-max-height--4-lines"], "role": "image", "src": "https://cms-im.s3.amazonaws.com/s4d93o4nmnqcgb18bzjs965plev5?response-content-disposition=inline%3B%20filename%3D%22penny-back.png%22%3B%20filename%2A%3DUTF-8%27%27penny-back.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240208%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240208T164143Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=b1fa77470c010d1273eed7fa1b9b1afb99d84f2212108c0c6bfbdf297fa2308e"}}], "figcaption": [{"_attributes": {"class": ["c-figcaption"]}}]}]}]}]}]}]}
How much would the two puzzles you sketched cost at the Pattern Block Store? Show or explain your reasoning.
Puzzle 1:
Puzzle 2:
Student Response
Teachers with a valid work email address can
click here to register or sign in
for free access to Student Response.
Activity Synthesis
Invite previously selected students to share.
“Is it possible to redesign the puzzle to save more money?” (Yes, I can switch a blue rhombus with two triangles.)


aligns: no