few_shots: 
Example:
Concept/skill: 
Recognize and represent proportional relationships between quantities.

Problem/activity:
You’re mixing ingredients for cookies. The recipe says to combine 6 tablespoons, or ¾ stick, of butter with 1 cup of sugar. You accidentally mix in a whole stick of butter (8 tablespoons) with the cup of sugar. How can you fix this?


Answer: 
No. Usually problems that teach recognizing and representing proportional relationships between quantities involve deciding whether two quantities are in a proportional relationship or identifying the constant of proportionality, and then representing proportional relationships by equations or explaining proportional relationship using coordinate graphs.

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_000972_neg_0

6
standard_description: Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
problem_activity: Problem 1
How many?
[IMG]
Problem 2
Determine the value of the unknown in each equation below.
a.
$$a = 7 \times 8$$
b.
$$42 \div b =7$$
c.
$$49 = 7 \times c$$
d.
$$d\div 7 = 9$$
Problem 3
Here is the partially filled-in multiplication table from Lessons 1 and 6.
| **           x          **  | **           1          ** | **           2          ** | **           3          ** | **           4          ** | **           5          ** | **           6          ** | **           7          ** | **           8          ** | **           9          ** | **           10          ** |
|-----------------------------|----------------------------|----------------------------|----------------------------|----------------------------|----------------------------|----------------------------|----------------------------|----------------------------|----------------------------|-----------------------------|
| **           1          **  |             1              |             2              |             3              |             4              |             5              |             6              |             7              |             8              |             9              |             10              |
| **           2          **  |             2              |             4              |             6              |             8              |             10             |             12             |             14             |             16             |             18             |             20              |
| **           3          **  |             3              |             6              |             9              |             12             |             15             |             18             |             21             |             24             |             27             |             30              |
| **           4          **  |             4              |             8              |             12             |             16             |             20             |             24             |             28             |             32             |             36             |             40              |
| **           5          **  |             5              |             10             |             15             |             20             |             25             |             30             |             35             |             40             |             45             |             50              |
| **           6          **  |             6              |             12             |             18             |             24             |             30             |             36             |             42             |             48             |             54             |             60              |
| **           7          **  |             7              |             14             |             21             |             28             |             35             |             42             |                            |                            |                            |             70              |
| **           8          **  |             8              |             16             |             24             |             32             |             40             |             48             |                            |                            |                            |             80              |
| **           9          **  |             9              |             18             |             27             |             36             |             45             |             54             |                            |                            |                            |             90              |
| **           10          ** |             10             |             20             |             30             |             40             |             50             |             60             |             70             |             80             |             90             |             100             |
Add the new facts you encountered in this lesson to your multiplication table.


aligns: no