1 / 24

Problem-Solving Strategy: Look for a pattern

Problem-Solving Strategy: Look for a pattern. Objective: Solve problems by looking for a pattern. 2-6 Problem-Solving Strategy: Look for a Pattern. Example

arlo
Download Presentation

Problem-Solving Strategy: Look for a pattern

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Problem-Solving Strategy: Look for a pattern Objective: Solve problems by looking for a pattern.

  2. 2-6 Problem-Solving Strategy: Look for a Pattern Example Sara was trying to finish all her math homework on Friday. She did 3 problems the first 30 minutes, 4 problems the next 30 minutes, 6 problems the next 30 minutes, 9 problems the next 30 minutes, and so forth. If she continues to work at this rate, how many problems will she have done in 4 hours.

  3. 2-6 Problem-Solving Strategy: Look for a Pattern Example Sara was trying to finish all her math homework on Friday. She did 3 problems the first 30 minutes, 4 problems the next 30 minutes, 6 problems the next 30 minutes, 9 problems the next 30 minutes, and so forth. If she continues to work at this rate, how many problems will she have done in 4 hours. Explore Sara worked 30 min per problem set. Time worked number of problems worked 1st 30 min 3 2nd 30 min 4 3rd 30 min 6 4th 30 min 9

  4. 2-6 Problem-Solving Strategy: Look for a Pattern Example Sara was trying to finish all her math homework on Friday. She did 3 problems the first 30 minutes, 4 problems the next 30 minutes, 6 problems the next 30 minutes, 9 problems the next 30 minutes, and so forth. If she continues to work at this rate, how many problems will she have done in 4 hours. Explore Sara worked 30 min per problem set. Time worked number of problems worked 1st 30 min 3 2nd 30 min 4 3rd 30 min 6 4th 30 min 9 Plan Look for a pattern.

  5. 2-6 Problem-Solving Strategy: Look for a Pattern Example Sara was trying to finish all her math homework on Friday. She did 3 problems the first 30 minutes, 4 problems the next 30 minutes, 6 problems the next 30 minutes, 9 problems the next 30 minutes, and so forth. If she continues to work at this rate, how many problems will she have done in 4 hours. Explore Sara worked 30 min per problem set. Time worked number of problems worked 1st 30 min 3 2nd 30 min 4 increased by 1 3rd 30 min 6 4th 30 min 9 Plan Look for a pattern.

  6. 2-6 Problem-Solving Strategy: Look for a Pattern Example Sara was trying to finish all her math homework on Friday. She did 3 problems the first 30 minutes, 4 problems the next 30 minutes, 6 problems the next 30 minutes, 9 problems the next 30 minutes, and so forth. If she continues to work at this rate, how many problems will she have done in 4 hours. Explore Sara worked 30 min per problem set. Time worked number of problems worked 1st 30 min 3 2nd 30 min 4 increased by 1 3rd 30 min 6 increased by 2 4th 30 min 9 Plan Look for a pattern.

  7. 2-6 Problem-Solving Strategy: Look for a Pattern Example Sara was trying to finish all her math homework on Friday. She did 3 problems the first 30 minutes, 4 problems the next 30 minutes, 6 problems the next 30 minutes, 9 problems the next 30 minutes, and so forth. If she continues to work at this rate, how many problems will she have done in 4 hours. Explore Sara worked 30 min per problem set. Time worked number of problems worked 1st 30 min 3 2nd 30 min 4 increased by 1 3rd 30 min 6 increased by 2 4th 30 min 9 increased by 3 Plan Look for a pattern.

  8. 2-6 Problem-Solving Strategy: Look for a Pattern Example Sara was trying to finish all her math homework on Friday. She did 3 problems the first 30 minutes, 4 problems the next 30 minutes, 6 problems the next 30 minutes, 9 problems the next 30 minutes, and so forth. If she continues to work at this rate, how many problems will she have done in 4 hours. Explore Sara worked 30 min per problem set. Time worked number of problems worked 1st 30 min 3 2nd 30 min 4 increased by 1 3rd 30 min 6 increased by 2 4th 30 min 9 increased by 3 Plan Look for a pattern. The difference between numbers increases by 1 each time.

  9. 2-6 Problem-Solving Strategy: Look for a Pattern Solve Problems worked: 3 4 Time worked: 1hr

  10. 2-6 Problem-Solving Strategy: Look for a Pattern Solve Problems worked: 3 4 6 9 Time worked: 1hr 2hr

  11. 2-6 Problem-Solving Strategy: Look for a Pattern Solve Problems worked: 3 4 6 9 13 18 Time worked: 1hr 2hr 3hr

  12. 2-6 Problem-Solving Strategy: Look for a Pattern Solve Problems worked: 3 4 6 9 13 18 24 31 Time worked: 1hr 2hr 3hr 4hr

  13. 2-6 Problem-Solving Strategy: Look for a Pattern Solve Problems worked: 3 4 6 9 13 18 24 31 Time worked: 1hr 2hr 3hr 4hr 3 + 4 + 6 + 9 + 13 + 18 + 24 + 31 =

  14. 2-6 Problem-Solving Strategy: Look for a Pattern Solve Problems worked: 3 4 6 9 13 18 24 31 Time worked: 1hr 2hr 3hr 4hr 3 + 4 + 6 + 9 + 13 + 18 + 24 + 31 = 108 problems

  15. 2-6 Problem-Solving Strategy: Look for a Pattern Solve Problems worked: 3 4 6 9 13 18 24 31 Time worked: 1hr 2hr 3hr 4hr 3 + 4 + 6 + 9 + 13 + 18 + 24 + 31 = 108 problems Examine Do the number of problems worked each half hour follow the pattern?

  16. 2-6 Problem-Solving Strategy: Look for a Pattern Write a rule to find the successive terms in the pattern. 63, 48, 35, 24, . . . . . .

  17. 2-6 Problem-Solving Strategy: Look for a Pattern Write a rule to find the successive terms in the pattern. 63, 48, 35, 24, . . . . . . The number decreased by 15, then 13, then 11, so the next number should decrease by 9 and then by 7. The number subtracted decreases by two each time.

  18. 2-6 Problem-Solving Strategy: Look for a Pattern The pattern of numbers, 1, 1, 2, 3, 5, 8, . . . . ., is called the Fibonacci sequence. The terms of the sequence are called the Fibonacci numbers. List the first ten Fibonacci numbers.

  19. 2-6 Problem-Solving Strategy: Look for a Pattern The pattern of numbers, 1, 1, 2, 3, 5, 8, . . . . ., is called the Fibonacci sequence. The terms of the sequence are called the Fibonacci numbers. List the first ten Fibonacci numbers. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55

  20. 2-6 Problem-Solving Strategy: Look for a Pattern Find a pattern for the following numbers. 1, 3, 5, 8, 11, 15, 19, . . . . . .

  21. 2-6 Problem-Solving Strategy: Look for a Pattern Find a pattern for the following numbers. 1, 3, 5, 8, 11, 15, 19, . . . . . . Pattern: +2, +2, +3, +3, +4, +4, +5, +5, . . .

  22. 2-6 Problem-Solving Strategy: Look for a Pattern Find the number that should be in the blank space. 1, 24, 2, 23, 3, 22, 4, . . . . . . 12, 13, 13, __ 12

  23. 2-6 Problem-Solving Strategy: Look for a Pattern Find the number that should be in the blank spaces. 1, 4, 10, 20, 35, 56, __, __, __

  24. 2-6 Problem-Solving Strategy: Look for a Pattern Find the number that should be in the blank spaces. 1, 4, 10, 20, 35, 56, __, __, __ 84, 120

More Related