Unit 11 – Making Connections Grade 4 Day 3 Solving Multi-Step Problems KEY Write each question as a statement. Discuss and agree on your plan with your partner. Estimate a solution. Carry out your plan with your partner. Record your solution process. Evaluate your solution for reasonableness. 1) Jackie can frame 10 pictures for every 2 hours she works. Each frame costs her customers $9. If she works 8 hours on Friday and 9 hours on Saturday, and sells all of the frames she makes, how much money will she have made? Question as a Statement: Jackie will make ____ dollars on all of the frames she makes on Friday and Saturday. Estimate: Answers may vary. Actual: $765 Solution Process: Solution process may vary. What I need to find Total hours Process Estimate 8 + 9 = 17 Pictures per hour 10 ÷ 2 = 5 10 + 10 = 20 10 ÷ 2 = 5 Pictures made in total hours worked Amount made for selling all pictures 17 x 5 = 85 20 x 5 = 100 85 x 9 = 765 100 x 10 = 1000 Answer as a statement Jackie will make $765 dollars on all of the frames she makes on Friday and Saturday. Is your solution reasonable? Answers may vary. Yes, because my actual solution was close to my estimate. 2) Rosemary bought 3 pairs of pants for $15 each, a shirt for $17, and a purse for $34. If Rosemary pays with 5 $20 bills, how much change will she receive? Solution Process: Solution process may vary. What I need to find Cost of pants Process Estimate 3 x 15 = 45 Cost of pants, shirt, and purse Amount she had 45 + 17 + 34 = 96 5 x 20 = 100 3 x 15 = 45 45 + 20 + 30 = 95 5 x 20 = 100 Actual: $4 Amount of change 100 – 96 = 4 Is your solution reasonable? Answers may vary. Yes, because my actual solution was close to my estimate. Answer as a statement Rosemary will receive 4 dollars in change after making her purchase. Question as a Statement: Rosemary will receive ____ dollars in change after making her purchase. Estimate: Answers may vary. 100 – 95 = 5 Unit 11 – Making Connections Grade 4 Day 3 Solving Multi-Step Problems KEY 3) A recipe for cookies makes 18 cookies. Janie and her mother made the recipe 36 times at home. Janie sold 375 of the cookies at the bake sale and took 205 cookies to school. How many cookies did Janie leave at home? Question as a Statement: Janie left ____ cookies at home. Estimate: Answers may vary. Solution Process: Solution process may vary. What I need to find Total number of cookies made Cookies left after bake sale Cookies left after giving to school Process Estimate 18 x 36 = 648 20 x 35 = 750 750 – 400 = 350 350 – 200 = 150 Answer as a statement Janie left 68 cookies at home. 648 – 375 = 273 273 – 205 = 68 Actual: 68 cookies Is your solution reasonable? Answers may vary. Yes, because my actual solution was close to my estimate. 4) An elevator can carry 1,750 pounds. A man weighing 273 pounds is delivering 79 cartons that weigh 13 pounds each. How much more weight can the elevator hold if another man who weighs 167 pounds also steps in the elevator? Question as a Statement: The elevator can hold ____ more pounds. Estimate: Answers may vary. Actual: 283 pounds Is your solution reasonable? Answers may vary. Yes, because my actual solution was close to my estimate. Solution Process: Solution process may vary. What I need to find Total weight of cartons Total weight of cartons and both men Difference between the weight the elevator can hold and the men/cartons Answer as a statement Process Estimate 79 x 13 = 1,027 80 x 15 = 1,200 1,200 + 300 + 150 = 1,650 1,750 – 1,650 = 100 1,027 + 273 + 167 = 1,467 1,750 – 1,467 = 283 The elevator can hold 283 more pounds.
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