Mathematics Developmental Continuum P-10

Back to:

Rules for Sequences - Progression Points

Dimension

Level

Progression Point

Structure

3.0 Standard

… Students investigate sequences of decimal numbers generated using multiplication or division by 10.

3.25
  • Recognition and completion of patterns formed by constant addition or subtraction

3.5
  • Sorting of sequences into certain types (constant addition, constant multiplication, fibonacci, square, triangular)

3.75
  • Construction of number patterns and tables of values from an equation or a recurrence relation
  • Recognition that a given number pattern can be represented by an apparently unrelated equation and recurrence relation; for example, 5, 9, 13 … represented by ‘multiply position in the pattern (first, second, third ...) by 4 and add 1’ and ‘start with 5 then repeatedly add 4 to the previous term’

4.0 Standard

… Students construct and use rules for sequences based on the previous term, recursion (for example, the next term is three times the last term plus two), and by formula (for example, a term is three times its position in the sequence plus two).