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 to multiply a fraction or whole number by a fraction.

Answer: 
No. The expressions shown in this problem do not involve multiplying fractions with other fractions, nor whole numbers with fractions.

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

shot_info: fl_problem_001097_neg_0

7
standard_description: Interpret multiplication as scaling (resizing), by:
- Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n×a)/(n×b) to the effect of multiplying a/b by 1.
- Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
problem_activity: Problem 1
a.   Shani calculated
$$81\div3$$
using an area model by finding the length of a rectangle whose area is 81 square units and width is 3 units.
[IMG]
The value being divided has 8 tens. The area model has only 6 tens in the leftmost region. Why?
Where did the 21 ones come from in the area model?
b.   Albie calculated
$$81\div3$$
using a method that was different from Shani’s.
[IMG]
Albie subtracted 60 from 81. What does the 60 represent?
Albie wrote 7 above the 20, and then subtracted 21 from 21. How is the 21 related to the 7?
What do the numbers 20 and 7 represent?
c.   Kimiko has a method of calculating quotients that is different from Shani’s method and Albie’s method. Here is how she found the quotient
$$81\div3$$
.
[IMG]
How is Kimiko’s method similar to and different from Shani’s method and Albie’s method?
Kimiko subtracted
$$3\times2$$
, then
$$3\times7$$
. Earlier, Albie subtracted
$$3\times20$$
, then
$$3\times7$$
. Why did they have the same quotient?
Why do you think Kimiko wrote 1 next to the remainder of 2 rather than adding 1 and 2 to get 3?
Problem 2
Estimate each quotient, then solve using any method. Then assess the reasonableness of your answer.
a.
$$97 \div2$$
b.
$$1,216\div4$$
c.
$$4,309\div7$$


aligns: no