UK MA 201 - MA 201 - Math for Elementary Teachers Exam 1
Course Ma 201-
Pages 11

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MA 201 - Math for Elementary TeachersExam 123 September 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 use a graphing calculator on this exam.• The use of electronic equipment such as mp3 players, ipods, cell phones andother electronic devices (besides your calculator) 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. Please list the Principles and Standards of the National Council of Teachers ofMathematics. (Hint: Recall the inside back cover of your book; think ECTLATand 5+5)(a) (5 points) Principles for School Mathematics:(b) (5 points) Content Standards:(c) (5 points) Process Standards:32. (4 points each) Recall that the set of natural/counting numbers is representedby N. Take N as your universal set, and let V be the set of numbers between 1and 50 inclusive that are divisible by 5, so including 50.(a) Write V using set builder notation.(b) Let W ⊂ V be the set W = { all even numbers in V } and let U ⊂ V bethe set U = { all odd numbers in V }. Using listing notation write out Wand U .(c) Are U and V equivalent sets? Are U and W equivalent sets? Please writea paragraph explaining your answers to these questions.43. (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) If a, b, m are whole numbers, then am· bm= (a · b)m.(b) The set {1, 1, 2, 3, 5, 8, 13, 21...} is closed under addition.(c) 9 − 2 · 3 = 21(d) The set {drops of water in the Indian ocean} is finite.(e) If a is any whole number, then a0= 0.4. (4 points each) Using the requested representation, display the following addi-tion properties.(a) Using a number line, show the additive identity property:4 + 0 = 0 + 4 = 45(b) Using strips, show the additive associative property:(2 + 4) + 3 = 9 = 2 + (4 + 3)5. (4 p oints each) Write two or three sentences explaining which of the three modelsof division best correspond to the following problems. You do not have to drawthe representation.(a) Dulce borrowed $10, 000 from her father to pay for her wedding. If she payshim $500 a month, how many months will Dulce be paying her father?(b) Paul is having a party for 32 friends (Paul is included in the 32) and theywant to play some poker. If Paul has 4 decks of cards, how many peoplewill play poker on any one deck assuming the same number of people areplaying on each deck?66. (4 points each) Draw representations that show the difference 6 − 4 using eachof the following methods.(a) Take away model(b) Missing addend model(c) Comparison model(d) Number line model77. (a) (4 points) Give an illustration that demonstrates how to convert the baseten number 17 into base five.(b) (2 points) Write a few sentences describing your illustration and e xplainingit.(c) (4 points) Compute 234five+ 123fiveusing place cards and write youranswer in base five.88. (8 points) At the University of Kentucky, 100 students were asked what petsthey liked. The results of the survey are found below. Make a completed Venndiagram that displays the students’ preferences being careful to define yourvariables and label your sets. How many students like all three dogs, cats, andlizards? How many students don’t like any of animals for pets?52 students like dogs35 students like lizards18 students like cats31 students like only dogs9 students like only lizards2 students like only cats10 students like both dogs and cats99. (8 points) Use the scaffold method to perform the division 6814 ÷ 23.1010. Extra Credit (2 points e ach) Represent the multiplication 4 · 3 = 12 using therequested model.(a) The set model of repeated addition for multiplication.(b) The multiplication tree model for multiplication.(c) The array model for


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UK MA 201 - MA 201 - Math for Elementary Teachers Exam 1

Course: Ma 201-
Pages: 11
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