MA 201 - Math for Elementary TeachersExam 325 November 2008Name:Score: /100 Points1Instructions:• You may not use any outside assistance on this exam. You may not use books,notebooks, other people’s exams, or any other materials to cheat on this exam.• You may not use a graphing calculator on this exam.• The use of electronic equipment such as mp3 players, ipods, cell phones andother electronic devices during the exam is prohibited.• If you are caught cheating on the exam, you will be given a 0 for a grade.• Write clearly during the exam and fully erase or mark out anything you do notwant graded.• You must show all your work to receive full credit unless otherwisestated.21. (5 points each) Draw number-line diagrams to represent each of the followingcalculations.(a) 5 − 3 = 2(b) 8 + (−3) = 5(c) (−4) · 3 = −122. (10 points) Order these rational numbers using the < sign:−83, 0,45,54, −4,−259.33. (5 points each) You decided not to become a teacher and instead joined NASAto travel on board a space shuttle to the newest planet, Obamatron 44. All ofthe clocks on the space ship are set on military time, ie. 24-hour clocks. Performthe indicated calculations on the s pace ship so you have practiced military timeoperations and will never be late.(a) 17 +249(b) 12 −2421(c) 4 ×2413(d) 21 ÷24744. (10 points) Using colored counters, explain the difference between the equations5 − 8 = −3 and 5 + (−8) = −3. Be sure to to label which diagram correspondsto which equation and write a paragraph discussing the differences.55. (3 points each) Answer true or false to the following questions. You must writethe complete word to receive credit for the problem. You do not need to showyour work on this problem.(a) The fractions102043and204066are equivalent.(b) The integers are closed under addition, subtraction, multiplication, anddivision.(c) Ifab,cd∈ Q then |ab−cd| = |ab| − |cd|.(d)12+35=47(e) If x, y ∈ Q and they are multiplicative inverses then x × y = 0.66. (10 points) Using any conceptual model you like, solve the following problemin Q. Solving without using a conceptual model will receive minimal credit.Lili, Rose, and Cali are going backpacking for a weekend and bring 1012poundsof nuts and granola to carry. They want to share the load equally. How manypounds of food should each person carry?77. (5 points each) Compute the following calculations in Q using the desired model.(a) Use the colored regions area model to compute13+12.(b) Use the fraction strip model to compute58−388. (10 points) Using the rectangular area model for multiplication in Q, solve32×7389. Extra Credit (2 points each) Write the Indo-Arabic equivalent numbers of eachof the following.(a) MDCCLXXV I(b) CMLXIV(c) ∩ ∩ ∩ ||(d) Write two or three sentences about what you like best in this class andwhat you would like to see emphasized or incorporated into the final fewweeks (ie. more group work, less work sheets, more hw, trying a new
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