few_shots: 
Example:
Problem/activity:
Problem 1
Solve using the standard algorithm. If you get stuck, use an area model and/or the partial products algorithm to help. Then assess the reasonableness of your answer.
a.
$$5,803\times46$$
b.
$$63\times2,116$$
Problem 2
Dunkin' introduced a croissant doughnut in 2014. In the first three months of its debut, they sold 7,870 dozen of them per day. How many croissant doughnuts were sold in the first three months?


Concept/skill: 
Fluently multiply multi-digit whole numbers using the standard algorithm.

Answer: 
Yes. This set of problems involves multi-digit whole numbers because the numbers in each problem are four and two digit integers, and the mathematical calculations involved in both problems focus on multiplication. The first problem explicitly asks the student to solve its subproblems using the standard algorithm.

Now, does the following problem or activity enable students to learn the full intent of the following concept or skill?

shot_info: fl_problem_000674_pos_0

5
standard_description: Prove the Laws of Sines and Cosines and use them to solve problems.
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
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        shape                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              cost                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              |
|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| |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|  |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| image:: 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 | |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|  |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| image:: 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 |
| |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|  |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| image:: 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 |       |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|  |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| image:: 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       |
| |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|  |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| image:: 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 | |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|  |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| image:: 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 |
| |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|  |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| image:: 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 |       |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|  |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| image:: 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       |
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