few_shots: 
Example 1:
Problem/activity:
Task
Materials
One 10-frame per pair of students (see example below)
[IMG]
Counters, 10 per pair of students
Decks of number cards 0-5 (with 4 of each number) or two 0-5 dice
Setup
This activity is done in pairs. The students sit side by side with 10-frame and deck of cards or dice. If they have cards, the cards are shuffled and placed face down in front of them.
Action
Player 1 flips a card or rolls the die. They place that many counters on the 10-frame. Player 2 flips a card or rolls the die. They place that many more counters on the 10-frame next to the counters already on the ten frame. The students count the total together.
A recording sheet can be added when the students have been introduced to equations and number sentences. For those students who can handle higher numbers, a deck of 0-10 cards and two 10-frames can be used.
This game can also be played alone.


Concept/skill: 
Represent addition and subtraction with objects, fingers, mental images, drawings (Drawings need not show details, but should show the mathematics in the problem. (This applies wherever drawings are mentioned in the Standards.)), sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.

Answer: 
Yes. This task involves representing addition with objects such as number cards and dice.

Example 2:
Problem/activity:
Task
 Arrange the fractions in order from least to greatest. Explain your answer with a picture.
 $\frac{1}{5}, \frac{1}{7}, \frac{1}{3} $
 $\frac{2}{5}, \frac{2}{7}, \frac{2}{3} $
 $\frac{5}{6}, \frac{3}{6}, \frac{1}{6} $
 $\frac{5}{12}, \frac{8}{12}, \frac{4}{12} $

Concept/skill: 
Understand a fraction as a number on the number line; represent fractions on a number line diagram.
 Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.

Answer: 
No. Completing this task does not involve representing fractions on a number line diagram.

Example 3:
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 add and subtract multi-digit whole numbers using the standard algorithm.
Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.

Answer: 
No. This set of problems does not directly involve adding or subtracting multi-digit whole numbers. Instead, it focuses on multiplying multi-digit whole numbers.

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

shot_info: im_task_001477_pos_0

K

im_task_000157_neg_0

3

fl_problem_000674_neg_0

5
standard_description: Represent addition and subtraction with objects, fingers, mental images, drawings (Drawings need not show details, but should show the mathematics in the problem. (This applies wherever drawings are mentioned in the Standards.)), sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations.
problem_activity: Narrative
The purpose of this activity is for students to learn stage 1 of the What’s Behind My Back center. Students find multiple decompositions of a number. Students snap a tower of connecting cubes into 2 parts and record each decomposition with a drawing and an expression. It may be helpful to give each group of students a single color of connecting cubes so the color of the cubes doesn’t distract students from identifying the two parts. In future stages of this center students hide cubes behind their back after snapping a tower. If needed, you can choose not to use the name What’s Behind My Back when playing this stage or let students know they will do that in future stages of this center.
The recording sheet is printed in the student book for this activity. There is a blackline master available for students to use during centers in future activities and lessons.
When students write an expression to match the connecting cubes, they reason abstractly and quantitatively (MP2).
MLR8 Discussion Supports.
Display and read aloud the following sentence frame to support small-group discussion: “You broke your tower into a group of ____ and a group of ____.” invite students to chorally repeat this sentence in unison 1–2 times.
Advances: Speaking, Conversing, Representing
Required Materials
Materials to Gather
Connecting cubes
Crayons
Materials to Copy
What's Behind My Back Stage 1 Recording Sheet
Required Preparation
Each group of 2 needs 8 connecting cubes of the same color.
Launch
Groups of 2
Give each group of students at least 8 connecting cubes and access to 2 different color crayons.
“We are going to learn a center called What’s Behind My Back?”
Display a cube tower with 8 cubes.
“Start with a tower of 8 cubes. One partner breaks the tower into 2 parts.”
Demonstrate breaking the tower into 2 parts.
“The other partner describes what happened to the tower. Tell your partner what happened to my tower.” (You broke your tower into a group of 5 and a group of 3.)
30 seconds: partner discussion
Share responses.
“Both partners record the two parts with a drawing and an expression.”
Demonstrate completing the recording sheet with a drawing and an expression.
“Then put your tower back together, and play again. Take turns snapping the tower of 8 cubes into 2 parts.”
Activity
5 minutes: partner work time
Student Facing
8 cubes
| |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce|          expression: _________________________  |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce| image:: https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce |
|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce|          expression: _________________________  |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce| image:: https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce |
| |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce|          expression: _________________________  |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce| image:: https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce |
| |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce|          expression: _________________________  |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce| image:: https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce |
8 cubes
| |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce|          expression: _________________________  |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce| image:: https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce |
|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce|          expression: _________________________  |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce| image:: https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce |
| |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce|          expression: _________________________  |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce| image:: https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce |
| |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce|          expression: _________________________  |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce| image:: https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce |
| |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce|          expression: _________________________  |https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce| image:: https://cms-im.s3.amazonaws.com/df6rew3ew18xkglzjtjc1ovvv7tb?response-content-disposition=attachment%3B%20filename%3D%22tikz-file-149768.svg%22%3B%20filename%2A%3DUTF-8%27%27tikz-file-149768.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=20240208T165232Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=9f474d428c909466a00a81ca41a2962ba593a89bd8f1c6d903531db14b6c15ce |
Student Response
Teachers with a valid work email address can
click here to register or sign in
for free access to Student Response.
Advancing Student Thinking
If students snap the cubes the same way each time, consider asking:
“Are there any other ways that you can snap the tower into 2 parts?”
“What if you snapped only 1 cube off of the tower?”
Activity Synthesis
“What did you notice each time you snapped the tower?” (There were always 8 cubes. The 2 parts that we broke the tower into were different each time.)
“What are the different ways that you and your partner found to break the tower of 8 cubes into 2 parts?”
Display a tower of 2 and a tower of 6.
“What expression can we write to represent the 2 parts of this tower?” (
\(2 + 6\)
)


aligns: no