Sequence Dancing

9

18

27

36

a

23

48

73

98

b

3

9

27

81

c

31

-62

124

-248

d

31

28

31

30

e

A Mathematics Lesson Starter Of The Day

Starter of The Day Transum Mathematics Topics


Topics: Starter | Sequences

  • Jeanne Barton, ex Abbey School
  •  
  • re e:
    I got the correct answer for a different reason.
    31, 28, 31, 30, ?

    Split into two sequences: 31, 31, ?? always 31
    28, 30,?? going up in 2's
    then alternate the sequences
  • 10p2, Willenhall School
  •  
  • For e, we found that 30 would also work.
    -3, +2, -1, +0, --1, +-2, ...
  • Transum,
  •  
  • Extending this activity a little further can you explain the rule that is used to move from one term to the next? This could be expressed in words or using algebra. In how many different ways can you express the expression for the nth term? What if the corresponding terms of two different sequences were added together to produce a third sequence?
  • Anon,
  •  
  • The last sequence is very bad becathere could be soooo many different answers. For me the sequence was 31, 28, 31, 30 e. It could be 31 on number 1, 3, 5 etc... and inbetween there could either be it subtracting two from the last one, or so many others. Otherwise was good :).

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Laptops In Lessons

Teacher, do your students have access to computers?
Do they have iPads or Laptops in Lessons?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

Here a concise URL for a version of this page without the comments.

Transum.org/go/?Start=July31

Here is the URL which will take them to a sequences self marking quiz.

Transum.org/go/?to=Sequence

Student Activity

Adapted from Wikipedia:

"Sequence dancing is a form of dance in which a pattern of movements is repeated. Sequence dancing may include dances of many different styles. The term may include ballroom dances which move round the floor as well as line, square and circle dances.

Sequence dancing in general is much older than modern ballroom dances. With the exception of the waltz, invented around 1800, all dances in ballrooms were sequence dances until the early 20th century. After modern ballroom dancing developed, in England, sequence dancing continued. It included so-called 'Old Time' dances and also adapted versions of the new ballroom dances, and then versions of Latin dances. Sequence dancing is a competitive sport as well as a social pastime."

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