few_shots: 
Example:
Problem/activity:
Find the general solution for:
$${\mathrm{cos}\left({\pi\over2}+x\right)=\mathrm{tan}{\pi\over4}}$$


Concept/skill: 
Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.

Answer: 
Yes. An initial step when solving for x in this problem requires the use of the addition formula for cosine on the left side of the equation.

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

shot_info: fl_problem_001894_pos_0

HS_0
standard_description: Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
problem_activity: Problem 1
Part A: Predict the shape of the graph at 2,000 trials.
|                                       10 trials                                        |                                       100 trials                                        |                                       533 trials                                        |
|----------------------------------------------------------------------------------------|-----------------------------------------------------------------------------------------|-----------------------------------------------------------------------------------------|
| .. image:: https://d37su8u1z9ynie.cloudfront.net/uploads/2018/06/05/algiiu8_l7_at1.png | .. image:: https://d37su8u1z9ynie.cloudfront.net/uploads/2018/06/05/algiiu8_l7_at1a.png | .. image:: https://d37su8u1z9ynie.cloudfront.net/uploads/2018/06/05/algiiu8_l7_at1b.png |
Part B: At 1,799 trials, the graph looks like this:
[IMG]
The mean of the data is approximately 6, and the standard deviation is 1.7. The blue lines around the graph are what should be the "ideal" normal distribution.
Describe what the mean and the standard deviation mean in terms of this situation.
Problem 2
Match the following distributions with the histograms. Explain your reasoning.
| **           Distribution          ** |                 **           Shape          **                 | **           Mean          ** | **           Standard Deviation          ** |
|---------------------------------------|----------------------------------------------------------------|-------------------------------|---------------------------------------------|
|      **           A          **       |          **           Skewed to the right          **          | **           100          **  |         **           10          **         |
|      **           B          **       | **           Approximately symmetric, mound shaped          ** | **           100          **  |         **           10          **         |
|      **           C          **       | **           Approximately symmetric, mound shaped          ** | **           100          **  |         **           40          **         |
|      **           D          **       |          **           Skewed to the right          **          | **           100          **  |         **           40          **         |
[IMG]


aligns: no