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: Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.

Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
Grade 4 expectations in this domain are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
problem_activity: Problem 1
Two different students solved the problem
$$1\frac9{10}+5\frac4{10}$$
below. Study their work and determine whether the strategy they used works.
{"table": [{"_attributes": {"class": ["table"], "style": "width: 100%; layout: fixed"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align: center; width: 50%;"}, "strong": [{"_value": "Student A"}]}, {"_attributes": {"style": "text-align: center; width: 50%;"}, "strong": [{"_value": "Student B"}]}]}, {"td": [{"_attributes": {"style": "text-align: center;"}, "img": [{"_attributes": {"src": "https://d21royfkw9g4l6.cloudfront.net/uploads/2022/03/24/g4mathu5l14_at1a.png", "style": "width: 200px; height: 108px;"}}]}, {"_attributes": {"style": "text-align: center;"}, "img": [{"_attributes": {"src": "https://d21royfkw9g4l6.cloudfront.net/uploads/2022/03/24/g4mathu5l14_at1b.png", "style": "width: 125px; height: 140px;"}}]}]}]}]}]}
Problem 2
Two different students solved the problem
$$4\frac38-3\frac68$$
below. Study their work and determine whether the strategy they used works.
{"table": [{"_attributes": {"class": ["table"], "style": "width: 100%;"}, "tbody": [{"tr": [{"td": [{"_attributes": {"style": "text-align: center; width: 50%;"}, "strong": [{"_value": "Student C"}]}, {"_attributes": {"style": "text-align: center; width: 50%;"}, "strong": [{"_value": "Student D"}]}]}, {"td": [{"_attributes": {"style": "text-align: center;"}, "img": [{"_attributes": {"src": "https://d21royfkw9g4l6.cloudfront.net/uploads/2022/03/24/g4mathu5l14_at2a.png", "style": "width: 175px; height: 169px;"}}]}, {"_attributes": {"style": "text-align: center;"}, "img": [{"_attributes": {"src": "https://d21royfkw9g4l6.cloudfront.net/uploads/2022/03/24/g4mathu5l14_at2b.png", "style": "width: 100px; height: 206px;"}}]}]}]}]}]}
Problem 3
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": "$$1+\\frac{5}{12}$$"}]}, {"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$\\frac{11}{12} + \\frac5{12}$$"}]}]}, {"_attributes": {"style": "text-align: center;"}, "p": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$8+4\\frac36$$"}]}, {"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$7\\frac56+4\\frac36$$"}]}]}, {"_attributes": {"style": "text-align: center;"}, "p": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$1\\frac1{10}-\\frac1{10}$$"}]}, {"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$1\\frac1{10}-\\frac2{10}$$"}]}, {"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$1\\frac1{10}-\\frac4{10}$$"}]}]}, {"_attributes": {"style": "text-align: center;"}, "p": [{"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$6\\frac15-5$$"}]}, {"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$6\\frac15-4\\frac45$$"}]}, {"span": [{"_attributes": {"class": ["math-tex"]}, "_value": "$$6\\frac15-4\\frac25$$"}]}]}]}]}]}]}


correct_option_index: 1