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, determine whether the following problem or activity can enable students to understand the concepts or skills in the provided description.

shot_info: fl_problem_001097_pos_0

7
standard_description: Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
problem_activity: Narrative
The purpose of this How Many Do You See is for students to use grouping strategies to describe the images they see.
When students use grouping to find the total in a multiple of tens, they look for and make use of structure (MP7).
Launch
Groups of 2
“How many do you see? How do you see them?”
Flash the image.
30 seconds: quiet think time
Activity
Display the image.
“Discuss your thinking with your partner.”
1 minute: partner discussion
Record responses.
Student Facing
How many do you see? How do you see them?
[IMG]
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
“What expressions could we record for the different ways that students saw the tens?” (
\(6 \times 10\)
, because some students saw 6 groups of 10.
\(3 \times (10 \times 2)\)
, because some students saw 2 rows of 10, then multiplied by 3.
\((3 \times 10) \times 2\)
, because some students multiplied 3 times 10 for each column, then multiplied by 2.)
Consider asking:
“Who can restate in different words the way _____ saw the tens?”
“Did anyone see the tens the same way but would explain it differently?”
“Does anyone want to add an observation to the way _____ saw the tens?”


aligns: no