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Tues day , March 11

Tues day , March 11. Sequences. Sequences. Objective: To understand and identify patterns in sequences. Sequences. A sequence is a list of numbers in a specific order. By determining the pattern, additional numbers can be discovered. Sequences. Find the next number in the sequence.

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Tues day , March 11

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  1. Tuesday, March 11 Sequences

  2. Sequences Objective: To understand and identify patterns in sequences.

  3. Sequences A sequence is a list of numbers in a specific order. By determining the pattern, additional numbers can be discovered.

  4. Sequences Find the next number in the sequence. 3, 6, 12, 24 ……

  5. Sequences Find the next number in the sequence. 3, 6, 12, 24 …… The numbers are doubling with every new number. The next number in the sequence would be: 48 ( 2 x 24)

  6. Sequences Find the next number in the sequence. 16, 24, 32, 40 ……

  7. Sequences Find the next number in the sequence. 16, 24, 32, 40 …… The numbers are increasing by 8. The next number in the sequence would be: 40 +8 = 48

  8. Sequences Find the next number in the sequence. 5, 15, 45, 135 ……

  9. Sequences Find the next number in the sequence. 5, 15, 45, 135 …… The numbers are increasing by 3 times. The next number in the sequence would be: 135 x 3 = 405

  10. Sequences Find the next number in the sequence. 111 1, 2, 4, 8 ……

  11. Sequences Find the next number in the sequence. 111 1, 2, 4, 8 …… The denominators are doubling with every new number. The next number in the sequence would be: 1 1 8 x 2 = 16

  12. Sequences The NCAA basketball tournament starts with 64 teams. The second round consists of 32 teams, and the third round 16 teams. How many teams are in the fifth round?

  13. Sequences The NCAA basketball tournament starts with 64 teams. The second round consists of 32 teams, and the third round 16 teams. How many teams are in the fifth round? 64, 32, 16…. Each number is half the prior number . The fourth number would be 8 and the fifth number would be 4.

  14. Sequences What is the following sequence? 90, 75, 60, 45,…….

  15. Sequences What is the following sequence? 90, 75, 60, 45,……. The sequence is decreasing by 15. The next number would be 30.

  16. Sequences What is the missing number in each sequence? 7, ____, 16, 20 ½…….

  17. Sequences What is the missing number in each sequence? 7, ____, 16, 20 ½……. What is the difference between two adjacent numbers? The only adjacent numbers we know are 16 and 20 ½. So 20 ½ - 16 = 4 ½. If we added 4 ½ to 7 we get 11 ½ and if we add 4 ½ to 11 ½ we get 16. It appears the missing number is 11 ½.

  18. Sequences What is the missing number in each sequence? ____, 16, 4, 1…….

  19. Sequences What is the missing number in each sequence? ____, 16, 4, 1……. It looks like we are dividing each number by 4. 16 ÷ 4 = 4 and 4 ÷ 4 = 1. If that is the case, what number divided by four is 16?

  20. Sequences What is the missing number in each sequence? ____, 16, 4, 1……. It looks like we are dividing each number by 4. 16 ÷ 4 = 4 and 4 ÷ 4 = 1. If that is the case, what number divided by four is 16? 64

  21. Sequences What is the pattern for the following sequence? 1 9, 3, 1, 3

  22. Sequences What is the pattern for the following sequence? 1 9, 3, 1, 3 Each number was multiplied by 1/3 to get the next number. What would the next number be?

  23. Sequences What is the pattern for the following sequence? 1 9, 3, 1, 3 Each number was multiplied by 1/3 to get the next number. What would the next number be? 1 9

  24. Sequences Mr. Avery’s drill bit set includes the following sizes (in inches). …. 13 , 7 , 15 , 1 …… 64 32 64 4 What are next two larger bits?

  25. Sequences Mr. Avery’s drill bit set includes the following sizes (in inches). …. 13 , 7 , 15 , 1 …… 64 32 64 4 What are next two larger bits? Convert all the fraction to have the same denominator.

  26. Sequences Mr. Avery’s drill bit set includes the following sizes (in inches). …. 13 , 14 , 15 , 16 …… 64 64 64 64 What are next two larger bits?

  27. Sequences Mr. Avery’s drill bit set includes the following sizes (in inches). …. 13 , 14 , 15 , 16 …… 64 64 64 64 What are next two larger bits? 1718179 64 and 64 , or 64 and 32

  28. Sequences Challenge – Figurative numbers are numbers associated with a pattern of geometric figures. For example, . . . . . . . . . . . . . . . . . . . . The next triangle will have how many dots?

  29. Sequences Challenge – Figurative numbers are numbers associated with a pattern of geometric figures. For example, . . . . . . . . . . . . . . . . . . . . The sequence in numbers would be 1,3,6,10,…..

  30. Sequences Challenge – Figurative numbers are numbers associated with a pattern of geometric figures. For example, . . . . . . . . . . . . . . . . . . . . What is the distance between the numbers? 1, 3, 6, 10,…..? 2 3 4 ?

  31. Sequences Challenge – Figurative numbers are numbers associated with a pattern of geometric figures. For example, . . . . . . . . . . . . . . . . . . . . What is the distance between the numbers? 1, 3, 6, 10, 15 2 3 4 5

  32. Sequences Review – Convert to an improper fraction. 1 3 4

  33. Sequences Review – Convert to an improper fraction. 113 3 4 = 4

  34. Sequences Review – Convert to an improper fraction. 2 4 3

  35. Sequences Review – Convert to an improper fraction. 214 4 3 = 3

  36. Sequences Review – Convert to an improper fraction. 3 2 7

  37. Sequences Review – Convert to an improper fraction. 317 2 7 = 7

  38. Sequences Review – Convert to an improper fraction. 1 5 4

  39. Sequences Review – Convert to an improper fraction. 121 5 4 = 4

  40. Sequences Review – Convert to an improper fraction. 2 1 9

  41. Sequences Review – Convert to an improper fraction. 211 1 9 = 9

  42. Sequences Review – Convert to an improper fraction. 2 6 3

  43. Sequences Review – Convert to an improper fraction. 220 6 3 = 3

  44. Sequences Review – Convert to an improper fraction. 5 2 6

  45. Sequences Review – Convert to an improper fraction. 517 2 6 = 6

  46. Sequences Review – Convert to an improper fraction. 3 7 4

  47. Sequences Review – Convert to an improper fraction. 3 7 4

  48. Sequences Review – Convert to an improper fraction. 331 7 4 = 4

  49. Sequences Review – Convert to an improper fraction. 2 8 3

  50. Sequences Review – Convert to an improper fraction. 226 8 3 = 3

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