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# Cooperative Learning Activity

Cooperative Learning Activity. Match your puzzle-piece with other similar pieces to form a problem to solve. As a learning group team, select a strategy to solve the problem. Solve the problem as a team then submit a solution to the class. Your team must be able to justify the solution!!!.

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## Cooperative Learning Activity

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1. Cooperative Learning Activity Match your puzzle-piece with other similar pieces to form a problem to solve. As a learning group team, select a strategy to solve the problem. Solve the problem as a team then submit a solution to the class. Your team must be able tojustify the solution!!!

2. Math in the Workplace http://www.micron.com/k12/math

3. Possible Uses • Pre-Assessment Exercise • Introduce classroom procedures (cooperative learning, word problems, no “I don’t know’s accepted) • Hook for new unit • Review • Exit Slip

4. Problem 1 A print head requires 6 hammer assemblies. You currently have 173 hammer assemblies. You are given an order to build 45 print head assemblies. 1.  How many print heads can you build with the hammers you currently have? 2.  How many additional hammer assemblies will you need to complete the 45 print heads ordered?

5. ANSWER 1.  173 hammers in supply 6 hammers per print head = 28.83 print heads Therefore, 28 print heads can be built with the hammers currently stocked. 2.  45 print heads x 6 hammers per print head = 270 total hammers needed for entire order. 270 total hammers needed - 173 hammers in supply = 97 hammers needed to complete the order. This is an actual interview question used. About 40% of applicants get it right.

6. Coretronics, Inc. AssemblyOperator Grades 4, 5, 6 Basic Arithmetic, Estimation, and Accurate Computations -Perform computations accuratelyMathematical Reasoning and Problem Solving -Understand and use a variety of problem- solving skills         -Use reasoning skills to recognize problems and express them mathematically

7. Problem 2 What is the retail price at Albertson's grocery store of a package of Gallo Pepperoni? The case cost of the pepperoni is \$24 per 12 (8 oz.) packages. The warehouse markup will be 7%. The store markup will be 38%.

8. ANSWER Package cost = \$24.00 12 packages = \$2.00/package Warehouse markup = \$2.00 x .07 = \$.14 Albertsons markup = \$2.14 (door cost) x .38 = \$.81 Albertsons retail price = \$2.00 + .14 + .81 =\$2.95/package

9. Albertsons Inc. Food Broker Grades 6, 7 Basic Arithmetic, Estimation, and Accurate Computations -Understand and use numbers -Perform computations accurately Mathematical Reasoning and Problem Solving -Use reasoning skills to recognize problems and express them mathematically.

10. Problem 3 You have two square containers. One contains 3 gallons and the other contains 5 gallons of fluid. How do you get 4 gallons of fluid?

11. ANSWER Tilt both containers onto end C and pour out the liquid until it levels between points D and B. This will leave exactly half the liquid in each container. Add the 2.5 gallons and the 1.5 gallons to equal 4 gallons.

12. Elizabeth Crandlemire Homemaker (1) Grades 5, 6, 7 Mathematical Reasoning and Problem Solving -Understand and use a variety of problem- solving skills -Use reasoning skills to recognize problems and express them mathematically -Communicate results using appropriate terminology and methods

13. Problem 4 The Ada County Highway District Pavement Management Technician needs to know how many tons of asphalt will be needed on a section of road. The section of road measures 5,280 feet (1 mile) in length and 26 feet wide. The asphalt needs to be 3 inches in depth. Asphalt weighs 144 tons per 2,000 ft3.

14. ANSWER 3 inches · (1 foot/12") = ј foot or .25 ft 144 tons/2000 ft^3 = .072 tons of asphalt per cubic foot length · width · depth · weight per f^t3 = tons of asphalt 5,280 ft x 26 ft x .25 ft x .072 tons =2,471 tons of asphalt needed

15. Ada County Highway District Pavement Management Technician Grades 7, 8 Mathematical Reasoning and Problem Solving       -Understand and use a variety of problem- solving skills Concepts and Principles of Measurement       -Understand and use U.S. customary and metric measurements Concepts and Principles of Geometry       -Apply concepts of size, shape, and spatial relationships

16. Problem 5 Find the total square footage in the countertop illustrated.  A = 2' B = 11' C = 3' D = 6'

17. ANSWER A x (B + A) = E 2 x 13= 26 ft2 A x A = F  2 x 2= 4 ft2 A x C = G   2 x 3= 6 ft2 C x D = H  3 x 6= 18 ft2 E + F + G + H = Total area of countertop = 54 ft2

18. Davis Tile Ceramic Tile Setter  Grades 5, 6 Mathematical Reasoning and Problem Solving       -Understand and use a variety of problem- solving skills Concepts and Principles of Measurement       -Understand and use U.S. customary and metric measurements Concepts and Principles of Geometry       -Apply concepts of size, shape, and spatial relationships

19. Problem 6 A horse weighs 1,200 pounds. He is sick and has been diagnosed with a certain disease. This disease is treated with Drug X. Instructions are to give 3 mg/kg orally twice a day for 5 days. The medicine is provided in 200 mg tablets. 2.2 pounds = 1 kg How many tablets need to be dispensed each day? How many tablets need to be dispensed for the 5 days?

20. ANSWER 1,200 lbs/2.2 lbs/kg= 545 kgs (weight of horse)  545 kgs x 3 mg/kg = 1,635 mg  1,635 mg x 2 times/day = 3,270 mg per day  (3,270 mg/day) /(200 mg/pill) = 16.35 or 16 pills per day  16.35 pills/day x 5 days =81.75 pills to be dispensed *Open-ended discussion: What would you do about the partial pill?

21. Equine Hospital and Lameness Center Veterinarian Grades 5, 6, 7 Basic Arithmetic, Estimation, and Accurate Computations       -Perform computations accurately Mathematical Reasoning and Problem Solving       -Understand and use a variety of problem- solving skills Concepts and Principles of Measurement       -Understand and use U.S. customary and metric measurements

22. Problem 7 A house costs \$120,000.The buyer finances (borrows) \$100,000. His payment of principal and interest is \$699.22 a month. He decides to pay \$100 extra per month. By paying extra, his loan is paid off in 245 months (or 20+ years) versus 360 months (or 30 years). How much did our borrower save over the life of the loan by paying the extra \$100 each month?

23. ANSWER \$699.22 x 360 months = \$251,719.20 \$799.22 x 245 months = \$195,808.90 \$251,719.20 - \$195,808.90 =\$55,910.30 saved

24. Washington Mutual Bank Mortgage Loan Officer Grades 4, 5, 6 Basic Arithmetic, Estimation, and Accurate Computations       -Perform computations accurately Mathematical Reasoning and Problem Solving -Use reasoning skills to recognize problems and express them mathematically

25. Problem 8 I want to pay a \$1,000 bonus to an employee. The IRS requires me to withhold 20% for income taxes and 7.5% for Social Security and Medicare taxes. 1. What should the amount of the bonus be to be certain the employee receives \$1,000? 2. As the employer, I have to match the 7.5% Social Security/Medicare tax and send that to the IRS as well. How much money will I have to send to the IRS?

26. ANSWER 1.   b = the bonus amount 20% + 7.5% = 27.5% or .275 b - .275 b = \$1,000 .725 b = \$1,000 b = \$1000/.725 b = \$1,379.31 (bonus amount) 2.   bonus - net bonus = taxes withheld \$1,379.31 bonus - \$1,000 net bonus = \$379.31 taxes withheld \$1,379.31 x 7.5% = \$103.45 Social Security/Medicare tax \$379.31 withheld + \$103.45 employer match =\$482.76 sent to IRS

27. O'Neil & Associates Chtd. Accountant/CPA Grades 7, 8 Basic Arithmetic, Estimation, and Accurate Computations       -Understand and use numbers            -Perform computations accurately Mathematical Reasoning and Problem Solving       -Use reasoning skills to recognize problems and express them mathematically

28. Problem 9 Cattle graze on the Boise National Forest. To determine how many cattle graze on a pasture, it is necessary to determine how much feed is available and the quantity consumed by cattle. The pasture produces 1200 pounds of forage per acre. Cattle are only allowed to use 40% of this forage. The pasture contains 1,500 acres suitable for grazing. If a cow and her calf eat 33 pounds of food a day, how long can 500 pairs of cows and calves stay in the pasture?

29. ANSWER (1200 lbs. forage/acre)(40%) = 480 lbs. usable feed/acre (480 lbs./acre)(1500 acres) = 720,000 lbs. usable feed 720,000 lbs. feed 33 lbs. cow-calf days = 21,818 cow-calf days 21.818 cow-calf days 500 cow-calf pairs = 43.6 days Rounded to the lowest whole day =43 days

30. USDA Forest Service Range Land Management Specialist Grades 6, 7 Basic Arithmetic, Estimation, and Accurate Computations       -Perform computations accuratelyMathematical Reasoning and Problem Solving       -Understand and use a variety of problem- solving skills Concepts and Principles a of Measurement       -Apply concepts of rates and other derived or indirect measurements

31. Problem 10 To compute students' grades for report cards, grades are taken at least twice a week for the nine-week grading period. If the following are a typical student's grades, what is his/her overall average?

32. ANSWER Computing grades: 1. Add all grades recorded: 85 + 90 + 90 + 100 + 75 + 68 + 93 + 96 + 86 + 100 + 100 + 85 + 80 + 95 + 93 + 100 + 100 + 80 = 1,616 2. Divide this sum by the number of recorded grades: 1,616 18 = 89.7% 3. Round off to nearest whole number: 89.7% = 90%

33. Meridian School District Second Grade Teacher Grades 5, 6 Basic Arithmetic, Estimation, and Accurate Computations       -Perform computations accurately Data Analysis, Probability and Statistics       -Apply simple statistical measurements

34. Problem 11 Jim, an appraiser, needs to find the value of a lot in a subdivision. He knows that land prices in this particular area are selling at \$6.25 per square foot. Jim has the following lot to appraise, but he must first find the square footage to determine the appraised value of the lot.

35. ANSWER Area of circle= pr^2 = Ѕ (pr^2)= Ѕ (p(25)^2)= 981.75 sq. ft.  Area of square = length x width= 75 ft. x 50 ft. = 3,750 sq. ft. + half circle = 3,750 + 981.75 = 4,731.75 sq. ft. \$6.25 x 4,731.75 =\$29,573.44

36. Idaho State Tax Commission GIS Analyst Grades 6, 7, 8 Mathematical Reasoning and Problem Solving       -Understand and use a variety of problem- solving skills Concepts and Principles of Measurement       -Understand and use U.S. customary and metric measurements Concepts and Principles of Geometry       -Apply concepts of size, shape, and spatial relationships

37. Problem 12 In a five day work week, a typical elementary class can be taught in .5-hour blocks. If the school day is 6.5 hours long, and each .5-hour requires a written lesson plan except for the six .5-hour blocks that are taught by specialists such as music [2], PE [2], library and computer. Deduct 45 minutes for lunch each day and .5 hour a day for recess. Deduct 3 minutes a day for flag salute, roll call, etc. How many lesson plans is a teacher writing each week?

38. ANSWER 6.5 hours/school day - .5 hr/recesses = 6 hours a day 6.0 hours - .75 hr/lunch = 5.25 hours a day 5.25/.5 = 10 half-hour blocks/day (plus .25 hour or 15 minutes) 10 half-hour blocks x 5 days = 50 half-hour blocks/week 50 blocks – [3 hrs/.5 (special classes)]= 44 half-hour blocks 44 blocks or lesson plans needed each weekwith 15 minutes left for the flag salute, roll call, etc.

39. Meridian School District Kindergarten Teacher Grades 4, 5, 6 Basic Arithmetic, Estimation, and Accurate Computations       -Perform computations accuratelyMathematical Reasoning and Problem Solving       -Understand and use a variety of problem- solving skills

40. Problem 13 a. This label came from a can of soup. What are percentages of calories from fat, saturated fat, total carbohydrate, sugars, and protein. Saturated fats have the same calories per gram as total fat. Sugars have the same calories per gram as total carbohydrates. b. If Americans are encouraged to eat no more than 40% of their calories from total fat, and no more than 10% of their calories from saturated fat, and about 50% of their calories from total carbohydrates (not too high, nor too low), how would you judge this product?

41. ANSWER a) 13 grams fat x 9 cal/gram = 117 fat calories 5 grams saturated fat x 9 cal/gram = 45 saturated fat calories 31 grams carbohydrates x 4 cal/gram = 124 carbohydrate calories 5 grams sugar x 4 cal/gram = 20 sugar calories 5 grams protein x 4 cal/gram = 20 protein calories Percent (%) of Calories from: 117/260 = 45%fat 45/260 = 17% saturated fat 124/260 = 48% carbohydrates 20/260 = 8% sugar 20/260 = 8% protein b) Goal Actual Rate =< 40% 45% total fat: very high "not at goal" =< 10% 17% saturated fat: very high "not at goal" 50% 48% total carbohydrates: "at goal"

42. Boise Heart Clinic Registered Dietitian Grades 6, 7 Basic Arithmetic, Estimation, and Accurate Computations       - Understand and use numbers.   - Perform computations accurately. Mathematical Reasoning and Problem Solving -Use reasoning skills to recognize problems and express them mathematically

43. Problem 14 A doctor has ordered an injection of Demerol to be given to her patient. She ordered 35 mg be given. How much fluid (ml) would be injected to give the 35 mg ordered? The syringe of Demerol is 50 mg for 2 ml.

44. ANSWER 35 mg required 50 mg/2ml = .70 (70% of syringe containing 2 ml) .70 x 2 ml = 1.40 ml fluid to be injected, leaving .6 ml

45. NCS Health Care Licensed Practical Nurse Grades 7, 8 Basic Arithmetic, Estimation, and Accurate Computations       -Perform computations accurately. Concepts and Principles of Measurement       -Understand and use U.S. customary and metric measurements.       -Apply the concepts of ratios and proportions. Mathematical Reasoning and Problem Solving -Understand and use a variety of problem- solving skills -Use reasoning skills to recognize problems and express them mathematically

46. Problem 15 A child has a middle ear infection requiring an antibiotic that is dosed at 60 mg per kg a day and divided into 3 doses per day. The medication is supplied as a suspension, 250 mg / 5 ml. How many teaspoons is each dose for a child weighing 48 pounds? How many ounces of medicine Should the pharmacist dispense for an 8 day course of treatment? Facts needed: 2.2 lbs = 1 kg1 oz = 6 teaspoons1 teaspoon = 5 ml

47. ANSWER 1. How many teaspoons per dose? 48 lb 2.2 lbs = 21.8181 kg x 60 mg = 1309.09 mg per day 1309.09 mg 3 doses = 436.36 mg per dose 250 mg of medication in 5 ml 1 tsp = 5 ml = 250 mg of medication. 436.36 mg 250 mg/tsp = 1.7454545 = 1.75 teaspoons per dose

48. ANSWER 2. How many ounces of medicine for 8 days of treatment? 3 doses/day x 8 days x 1.75 tsp/dose = 42 tsp of medicine 42 tsp 6 tsp/ounce = 7 ounces of medicine

49. Idaho Physician Associates Family Physician Grades 5, 6, 7 Basic Arithmetic, Estimation, and Accurate Computations       -Perform computations accurately. Mathematical Reasoning and Problem Solving       -Understand and use a variety of problem- solving skills Concepts and Principles of Measurement       -Understand and use U.S. customary and metric measurements

50. Problem 16 John and Joan are planning a new home. They want as much window area as possible. The local energy code permits a maximum window area of 17% of the house floor area. The windows John and Joan will use are each 3 ft. x 5 ft. and the floor area of the house is 1,720 square feet. How many windows can they put into their new house?

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