A Plan for Problem Solving.pdf

NAME ________________________________________ DATE ______________ PERIOD _____ 1-1 Study Guide and Intervention...

NAME ________________________________________ DATE ______________ PERIOD _____ 1-1 Study Guide and Intervention A Plan for Problem Solving When solving problems, it is helpful to have an organized plan to solve the problem. Lesson 1–1 The following four steps can be used to solve any math problem. 1 Understand – Read and get a general understanding of the problem. 2 Plan – Make a plan to solve the problem and estimate the solution. 3 Solve – Use your plan to solve the problem. 4 Check – Check the reasonableness of your solution. Example 1 SPORTS The table shows the number of field goals made by Henry High School’s top three basketball team members during last year’s season. How many more field goals did Brad make than Denny? Name 3-Point Field Goals Brad 216 Chris 201 Denny 195 Understand You know the number of field goals made. You need to find how many more field goals Brad made than Denny. Plan Use only the needed information, the goals made by Brad and Denny. To find the difference, subtract 195 from 216. Solve 216 ! 195 " 21; Brad made 21 more field goals than Denny. Check Check the answer by adding. Since 195 # 21 " 216, the answer is correct. Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Exercises 1. During which step do you check your work to make sure your answer is correct? 2. Explain what you do during the first step of the problem-solving plan. SPORTS For Exercises 3 and 4, use the field goal table above and the four-step plan. 3. How many more field goals did Chris make than Denny? 4. How many field goals did the three boys make all together? Chapter 1 1 Course 1  NAME ________________________________________ DATE ______________ PERIOD _____ 1-1 Practice A Plan for Problem Solving PATTERNS Complete each pattern. 1. 17, 21, 25, 29, _____, _____, _____, 2. 32, 29, 26, 23, _____, _____, _____, 3. 1, 2, 4, 7, _____, _____, _____, 4. 64, 32, 16, 8, _____, _____, _____, 5. ANALYZE GRAPHS Refer to the graph. How many acres smaller is Lake Meredith National Recreation Area than Big Thicket National Preserve? Sizes of National Parks 120,000 97,206 100,000 86,416 80,000 58,500 46,349 Acres 60,000 40,000 9,600 20,000 0 ed et e h Ri de up et ck r ist ild an ve id al i Th Am W Gr er ad M g o Gu Bi Ri ke La Park 6. TRAVEL The distance between Dallas and Beaumont is about 290 miles. Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Henry drove from Dallas to Beaumont at 58 miles per hour. How many hours did it take Henry to reach Beaumont? 7. ANALYZE TABLES The table lists the times that ferries leave the terminal every day. At what times will the next three ferries 6:36 A.M. leave the terminal? 7:11 A.M. 7:17 A.M. 8. MONEY The Wilsons bought a refrigerator and a stove for a 7:52 A.M. total cost of $745. They will pay for the purchase in five equal 7:58 A.M. payments. What will be the amount of each payment? 9. MUSIC Luanda practices playing the piano for 24 minutes each day. How many hours does she practice in one year? Chapter 1 2 Course 1