standard_description: Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosines, and tangent for π–x, π+x, and 2π–x in terms of their values for x, where x is any real number.
problem_activity: Task
Arianna has been saving her chore money all summer. Her mother has allowed her to
spend the money on school supplies of Arianna’s choosing. Here are some of her favorite
items and the price for each:
[IMG]
{"table": [{"tbody": [{"tr": [{"td": [{"_value": "Lunchbox"}, {"_value": "Art Supplies"}, {"_value": "Pencil Box"}, {"_value": "Mechanical Pencil"}]}, {"td": [{"_value": "\\$2 and 50\u00a2"}, {"_value": "75\u00a2"}, {"_value": "$1 and 25\u00a2"}, {"_value": "45\u00a2"}]}]}]}]}
Arianna has four dollars and twenty-five cents to spend.
Select two items she might choose to purchase. What is the total cost of these two items?
Select three items she might choose to purchase. What is the total cost of these three items? How much money will Arianna have left over if she buys these three items
How many pencil boxes can Arianna buy without going over the $4 and 25¢ she has saved?
Explain your thinking for part (c) in words.


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