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


Standard options: 
A. Prove the Pythagorean identity sin^(2)(θ) + cos^(2)(θ) = 1 and use it to find sin(θ), cos(θ),or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.
B. Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.


Your response, in json format:
{
  "explanation": "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. Solving this problem does not require use of the Pythagorean identity.",
  "answer": "B"
}

Now, assign the following problem or activity to one or more relevant standards it aligns with.
shot_info: fl_problem_001894

HS
options: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

Read, write, and compare decimals to thousandths.

Use place value understanding to round decimals to any place.

Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
problem_activity: Problem 1
How much is a million?
Problem 2
Make a model to represent the size of 1,000,000.
Problem 3
a.   Use a place value chart to model the size of 1,000,000, building it from bundles of 10 starting with the ones place.
b.   Use your work in Part (a) to solve each of the following:
10
$$\times$$
10 = ______________
10
$$\times$$
10
$$\times$$
10
$$\times$$
10 = ______________
10
$$\times$$
10
$$\times$$
10
$$\times$$
10
$$\times$$
10
$$\times$$
10 = ______________
c.   Use your work in Part (a) to write each of the following as a product of tens:
1,000 = ____________________________
100,000 = ____________________________
100,000,000 = ____________________________


correct_option_index: 0

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