1. Consider the box of crayons shown at right. How would you explain to a group...
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1. Consider the box of crayons shown at right. How would you explain to a group of kindergartners whether the number of crayons was odd or even? 2. A poll of students showed that 55% like basketball, 40% liked soccer, 45% football, 25% like both basketball and soccer, 20% like both basketball and football, and 10% like all three sports. Fill in a 3-loop Venn diagram to represent this poll of students. (a) What percent of students likes only one sport? (b) What percentage does not like any of the three sports? 3. Explain how to illustrate 5+2 in two distinctively different ways. : 4. Show two distinctively different methods to show a 2nd grader why 3.4-12. 5. Which mathematical fact, and property of addition, are illustrated on the number lines? (a). (b). 0 1 6. What math facts are represented by the "math mountain" shown? What is the purpose of "math mountains" as compared to how you may have learned mathematical facts? 7. Find the sum of 49 + 84, using two different methods appropriate for a 2nd, or 3rd classroom. 53 grade 8. Find the difference of 42 - 17, using two different methods appropriate for a 2nd or 3rd grade classroom. 9. In 5th grade, students learn long division. Using a visual model, demonstrate how you can divide 568. 10. Find all the divisors of the number 48. 11. Find the prime factorization of the number 48. 12. Three darts hit the dartboard shown and each scores a 1, 3 or 5. The total is the sum of the scores for these three darts. What kinds of total scores are possible? Explain. 13. The number 532,84a is divisible by 6. What are the possible value(s) of the last digit, a? Explain your answer. 14. Use mental arithmetic and divisibility tests to determine if the number 52,716 is divisible by 2,3,4,5,6,8,9. Explain your answers. 15. Let L = {6, 12, 18, 24, ...} be the set of multiples of 6, and let M= {45, 90, 135, ...} be the set of multiples of 45. (a) Find four more elements of set M. (b) Describe LOM. (c) What is the smallest element in LOM? 16. Suppose that a student, Maria, made a mistake solving her math exercise. What is her mistake, and how would you help her correct it? 8 1 4 6 4 5 17. Suppose another student, Mark, made a mistake solving his math exercise. What is his mistake, and how would you help him correct it? 1 2 2 58 1 7 6 1 1 0 2 86 18. What properties are used in the following equations? A. Associative Property B. Distributive Property C. Commutative Property D. Identity E. Closure Property 7+0=7 (a) (b) 7+6+3 10+6 (c) 5.12=5.10+5.2 (d) (13.5) 2 13.(5.2) (e) 16+13 + 24 = 16 +24+ 13 (f) 5.1=5 (g) 58 is a whole number (h) (12.15) 20 (15.12).20 1. Consider the box of crayons shown at right. How would you explain to a group of kindergartners whether the number of crayons was odd or even? 2. A poll of students showed that 55% like basketball, 40% liked soccer, 45% football, 25% like both basketball and soccer, 20% like both basketball and football, and 10% like all three sports. Fill in a 3-loop Venn diagram to represent this poll of students. (a) What percent of students likes only one sport? (b) What percentage does not like any of the three sports? 3. Explain how to illustrate 5+2 in two distinctively different ways. : 4. Show two distinctively different methods to show a 2nd grader why 3.4-12. 5. Which mathematical fact, and property of addition, are illustrated on the number lines? (a). (b). 0 1 6. What math facts are represented by the "math mountain" shown? What is the purpose of "math mountains" as compared to how you may have learned mathematical facts? 7. Find the sum of 49 + 84, using two different methods appropriate for a 2nd, or 3rd classroom. 53 grade 8. Find the difference of 42 - 17, using two different methods appropriate for a 2nd or 3rd grade classroom. 9. In 5th grade, students learn long division. Using a visual model, demonstrate how you can divide 568. 10. Find all the divisors of the number 48. 11. Find the prime factorization of the number 48. 12. Three darts hit the dartboard shown and each scores a 1, 3 or 5. The total is the sum of the scores for these three darts. What kinds of total scores are possible? Explain. 13. The number 532,84a is divisible by 6. What are the possible value(s) of the last digit, a? Explain your answer. 14. Use mental arithmetic and divisibility tests to determine if the number 52,716 is divisible by 2,3,4,5,6,8,9. Explain your answers. 15. Let L = {6, 12, 18, 24, ...} be the set of multiples of 6, and let M= {45, 90, 135, ...} be the set of multiples of 45. (a) Find four more elements of set M. (b) Describe LOM. (c) What is the smallest element in LOM? 16. Suppose that a student, Maria, made a mistake solving her math exercise. What is her mistake, and how would you help her correct it? 8 1 4 6 4 5 17. Suppose another student, Mark, made a mistake solving his math exercise. What is his mistake, and how would you help him correct it? 1 2 2 58 1 7 6 1 1 0 2 86 18. What properties are used in the following equations? A. Associative Property B. Distributive Property C. Commutative Property D. Identity E. Closure Property 7+0=7 (a) (b) 7+6+3 10+6 (c) 5.12=5.10+5.2 (d) (13.5) 2 13.(5.2) (e) 16+13 + 24 = 16 +24+ 13 (f) 5.1=5 (g) 58 is a whole number (h) (12.15) 20 (15.12).20
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Investment Analysis and Portfolio Management
ISBN: 978-0538482387
10th Edition
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