few_shots: 
Example:
Problem/activity:
For each pair of numbers, determine if the values are equivalent. Explain your reasoning for each one.
a.
$$-0.25$$
and
$$\frac{1}{-4}$$
b.
$$-\left ( \frac{1}{4} \right )$$
and
$$\frac{-1}{-4}$$
c.
$$\frac{-1}{4}$$
and
$$-\frac{1}{4}$$


Concept/skill: 
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

Answer: 
Yes. This problem involves understanding fractions and division to divide rational numbers, such as 1, -4, 4, and -1. This problem also involves an understanding of multiplication: if p and q are integers, then -(p/q) = (-p)/q = p/(-q).

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

shot_info: fl_problem_001097_pos_0

7
standard_description: Add up to four two-digit numbers using strategies based on place value and properties of operations.
problem_activity: Narrative
The purpose of this activity is for students to learn stage 2 of the Greatest of Them All center. Students use digit cards to create the greatest possible number. As each student draws a card, they choose where to write it on the recording sheet. Once a digit is placed, it can’t be moved. Students compare their numbers using
\(<\)
,
\(>\)
, or
\(=\)
. The player with the greater number in each round gets a point.
Students should remove cards that show 10 from their deck.
MLR2 Collect and Display.
Synthesis: Direct attention to the words collected and displayed on the anchor chart from the previous lessons. Invite students to borrow place value language from the display as needed.
Advances: Conversing, Reading
Required Materials
Materials to Gather
Number cards 0–10
Materials to Copy
Greatest of Them All Stage 2 Recording Sheet
Launch
Groups of 2
Give each group a set of number cards and each student a recording sheet.
“Now you will be playing the Greatest of Them All center with your partner.”
“You will try to make the greatest three-digit number you can.”
Display number cards and recording sheet.
Demonstrate picking a card.
“If I pick a (2), I need to decide whether I want to put it in the hundreds, tens, or ones place to make the largest three-digit number.”
“Where do you think I should put it?” (I think it should go in the ones place because it is a low number. In the hundreds place, it would only be 200.)
30 seconds: quiet think time
Share responses.
“At the same time, my partner is picking cards and building a number, too.”
“Take turns picking a card and writing each digit in a space.”
“Read your comparison aloud to your partner.”
Activity
“Now play a few rounds with your partner.”
15 minutes: partner work time
Activity Synthesis
Select a group to share a comparison statement. For example:
\(654 > 349 \)
and
\(349 < 654\)
.
“I noticed that partners had different comparison statements for the same numbers. How can they both be true?”
“If I draw an 8, where should I choose to place it and why?” (I would put it in the hundreds place since it’s almost the highest number I could
draw
. I might not get 9. With 800, I have a good chance for my number to be larger than my partner’s.)


aligns: no