Sequence Dancing

Starter of The Day Transum Mathematics Topics

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 n^th 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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Teacher, do your students have access to computers such as tablets, iPads or Laptops? This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments:

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However it would be better to assign one of the student interactive activities below.

Laptops In Lessons

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

Transum.org/go/?to=gp

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."

Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

A Mathematics Lesson Starter Of The Day

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Curriculum Reference