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Radical Treasure Hunt! All projects are due on or before Nov 22nd!! Students will create a treasure map using radicals as landmarks. Students must create a list of directions which describe the radicals as solutions to problems or vice versa. The directions must contain the following: Types of Problem 1 Sum of radicals 1 Differences of radicals 2 Products of radicals 1 Rationalizing the Denominator 2 Powers of imaginary numbers 1 Sum of complex numbers 1 Difference of complex numbers 2 Product of complex numbers 1 Simplify a complex number in the denominator (complex conjugate) Restrictions Must contain at least 4 terms from list 1 Must contain at least 3 terms from list 1 Use terms in list 2; 1 must include fractions Choose the denominator from list 3 Choose from list 4 Must contain at least 3 terms from list 5 Must contain at least 2 terms from list 5 Choose from list 5 Choose the denominator from list 5 All problems will be made up of numbers from the lists provided and must follow the guidelines from above. List 1 List 2 3 2√24 √18 6√10𝑥𝑦 2 3 5 √𝑥19 14√2 2 √𝑥 4 3 √125𝑥 7 3 √6 2√22 8√8 4√6 3 √54𝑥10 𝑦 7 3 √486𝑦 6 1 List 3 4 √80 3 √686 𝑖 𝑖 71 List 5 2−𝑖 5𝑖 − 2 3 √500 𝑖 51 6 − 3𝑖 4 𝑖 48 15 + 14𝑖 4 63 1+𝑖 7 + 2𝑖 −3 − 6𝑖 √512 √324 √128 3 List 4 26 𝑖 𝑖 111 √7 10√2 √ 12√14 13 8 4 18 7 −4 + 8𝑖 −12 + 24𝑖 √ 2√27 8𝑖 − 7 9√27 The map must contain at least 5 bogus landmarks which are not part of the directions to the treasure. The treasure map can be anywhere and lead the treasure hunter to any treasure (school appropriate!). No late projects will be accepted. If you do not turn in a project or if you fail the project, then you will be given a written test as a retest. Per district policy, the most you can earn on a retest is a 70. Parent Signature: _____________________________________________ Date: ____________________ Rubric (Radical Treasure Hunt)Progress Check 1 10 points Progress Check 2 10 points Equations - Complete and correct for a total of 60 points List all of your equations below with the work shown and correct answer. Each equation is 5 points. Equation Work Answer Presentation 10 points Solvability 10 points Total Points