Let’s See What You Know What place What is the value is the 8 in estimated sum 345,7866? of 56.89 + 43.09? How do you solve word problems? What are your steps? Solving Word Problems Easier Than What You Think Let’s Attack those Word Problems! • Convergent Thinking!! First – Read the problem carefully! Second-Reflect and gather all clues for your problem. Third-Plan a strategy for solving your problem. Fourth-Solve your problem. Fifth-Check your answer. Does it make sense? Let’s Try Some Find the Pattern Question: Carol has written a number pattern that begins with 1, 3, 6, 10, 15. If she continues this pattern, what are the next four numbers in her pattern? Did you read it carefully? Did you find some clues? Now plan a strategy. • Strategy: 1) UNDERSTAND: What do you need to find? You need to find 4 numbers after 15. 2) PLAN: How can you solve the problem? You can find a pattern. Look at the numbers. The new number depends upon the number before it. • 3) SOLVE: Look at the numbers in the pattern. 3 = 1 + 2 (starting number is 1, add 2 to make 3) 6 = 3 + 3 (starting number is 3, add 3 to make 6) 10 = 6 + 4 (starting number is 6, add 4 to make 10) 15 = 10 + 5 (starting number is 10, add 5 to make 15) New numbers will be 15 + 6 = 21 21 + 7 = 28 28 + 8 = 36 36 + 9 = 45 Guess/Check Question: Amy and Judy sold 12 show tickets altogether. Amy sold 2 more tickets than Judy. How many tickets did each girl sell? • Strategy: 1) UNDERSTAND: What do you need to find? You need to know that 12 tickets were sold in all. You also need to know that Amy sold 2 more tickets than Judy. 2) PLAN: How can you solve the problem? You can guess and check to find two numbers with a sum of 12 and a difference of 2. If your first guess does not work, try two different numbers. • 3) SOLVE: First Guess: Amy = 8 tickets Judy = 4 tickets Check 8 + 4 = 12 8 - 4 = 4 ( Amy sold 4 more tickets) These numbers do not work! Second Guess: Amy = 7 tickets Judy = 5 tickets Check 7 + 5 = 12 7- 5 = 2 ( Amy sold 2 more tickets) These numbers do work! Amy sold 7 tickets and Judy sold 5 tickets. Word Problems Kayla balanced twice as many glasses as Petra. Petra balanced 89 glasses fewer than Chico. Chico balanced 230 glasses. How many glasses did Kayla balance? Reflect, Plan, and Solve Clues Plan Solve Kayla – 2 times as Petra Petra- 89 less than Chico Chico- 230 Seems to be a pattern….. Or guess and check…. Chico 230-89 equals Petra Then Petra times 2 equals Kayla 230-89 =141 How many did Kayla balance? 141 x 2 = 282 Kayla balanced 282 glasses. Does that make sense?? Let’s Try • Ted Hoz has the world’s largest collection of golf balls. If he has room for 31, 886 more golf balls. How many can Ted have altogether? • He has 5,000 golf balls now. You Tell ME!! Tiered Assignment • Tier 1 • Tier 2 Eleven- year old Leila and her 2 younger brothers are touring the city of San Antonio with their grandmother and grandfather. They are window-shopping in front of a clothing store. Adult T-shirts cost $7.50 each. Children’s Tshirts cost $5.00 each. What would be the cost of the T-shirts for the entire group? • Darren arrived at his new job at 8:00 am. After he got up, it took him 10 minutes to shower and get dressed, 15 minutes to eat breakfast, 7 minutes to Walk his sister to the day-care center, and then 11 minutes to walk to his job. What time did he get up? Let’s Try Some More • Tier 1 • Tier 2 Martina bowled 3 games. She scored 105,114,111. What was her average for the 3 games? • What number would you add to the numbers 4,6,7,8,9, and 11 to make the mode 4? • The range 8? Don’t Forget to THINK