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: Fluently add and subtract multi-digit whole numbers using the standard algorithm.
Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.

Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.
problem_activity: Problem 1
Three different students solved the problem
$$ 232 \div 8$$
. Your teacher will assign you one of the strategies below. Explain what the student did and whether the strategy they used works. Be prepared to share your thinking.
{"table": [{"_attributes": {"align": "center", "class": ["table", "table-bordered"], "style": "width:50%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align:center"}, "p": [{"_value": "Student A"}, {"img": [{"_attributes": {"src": "https://d21royfkw9g4l6.cloudfront.net/ZoPLED891zSmYOWqanUdIv_ZMZYXA.png"}}]}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "p": [{"_value": "Student B"}, {"img": [{"_attributes": {"src": "https://d21royfkw9g4l6.cloudfront.net/GjKY5qmrEGOwHjEfJMqaOe_IY0IDR.png"}}]}]}]}, {"td": [{"_attributes": {"style": "text-align:center"}, "p": [{"_value": "Student C"}, {"img": [{"_attributes": {"src": "https://d21royfkw9g4l6.cloudfront.net/cu4zJFEkmogo8n93orpF2r_KS83E1.png"}}]}]}]}]}]}]}
Problem 2
Solve.
{"table": [{"_attributes": {"class": ["table", "table-bordered"], "style": "width:100%"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align:center"}, "p": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$40\\div4$$"}]}, {"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$80\\div4$$"}]}, {"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$83\\div4$$"}]}]}, {"_attributes": {"style": "text-align:center"}, "p": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$50\\div5$$"}]}, {"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$150\\div5$$"}]}, {"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$10\\div5$$"}]}, {"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$140\\div5$$"}]}]}, {"_attributes": {"style": "text-align:center"}, "p": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$30\\div3$$"}]}, {"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$21\\div3$$"}]}, {"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$51\\div3$$"}]}]}]}]}]}]}


correct_option_index: 1