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

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
$$-\frac{1}{4}$$


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

shot_info: fl_problem_001097_pos_0

7
standard_description: Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies (include groups with up to ten objects).
problem_activity: Narrative
The purpose of this activity is for students to count their collection in a way that makes sense to them and notice that the number of objects stays the same when a collection is counted multiple times (MP8). Students are provided with 10-frames and counting mats to help them organize their collections. Students use appropriate tools strategically as they choose which tools help them count their collections (MP5).
MLR8 Discussion Supports
. Display and read aloud the following sentence frames to support small-group discussion: “I agree because _____.” and “I disagree because _____.” Invite students to chorally repeat this sentence in unison 1–2 times.
Advances: Speaking, Conversing, Representing
Representation: Internalize Comprehension.
Synthesis: Use multiple examples and non-examples to emphasize the importance of counting every object one time. Demonstrate to students the non-example of counting one object twice in a collection.
Supports accessibility for: Conceptual Processing, Organization
Required Materials
Materials to Gather
10-frames
Collections of objects
Counting mats
Required Preparation
Each student needs a collection of 11–20 objects.
Launch
Groups of 2
Give each student a collection of objects and access to 10-frames and a counting mat.
“How many objects are in your collection?”
Activity
3 minutes: independent work time
“Tell your partner how many objects are in your collection.”
30 seconds: partner discussion
“Switch collections with your partner. Do you agree with your partner about how many objects are in the collection?”
3 minutes: independent work time
Student Response
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Advancing Student Thinking
If students count each object more than once or do not count some of the objects, consider asking:
“How many objects do you have? How do you know?”
Display the counting mat or the 10-frame and ask “How can you use this mat to help you make sure that you count each object?”
Activity Synthesis
“Show your partner how you counted and tell your partner how many objects are in your new collection. Did you and your partner count the collection the same way? Did you agree about how many objects are in the collection?”
“We might count the objects differently than our partner, but we should get the same number if we count every object one time.”


aligns: no