These exercises and activities are for students to use independently of the teacher to practice number properties.
Proportions and Ratios, APĀ (Stage 8)
Students meeting non-linear sequences for the first time often want to continue looking for additive patterns, which can be easy to continue. However, these additive patterns do not generalise or provide an explanation of how to go from one term to the next in a sequence. Talking of "finding a pattern" when a student looking at 1, 2, 4, 8, explains that the pattern is +1, +2, +4, and that this is not as helpful as "finding a rule" (which will always tell us how to get to the next number) is a useful approach.
Some of the problems in exercise 2 involve multiplying by a decimal. This is found at stage 8 of the multiplication domain, so is likely to be tricky for some students.
Exercise 1
Asks students to find the rule that links the terms then use it to work out the next two terms in the sequence.
Exercise 2
Asks students to fill in the missing number in the sequence.
Printed from https://nzmaths.co.nz/resource/multiplicative-sequences at 6:29pm on the 6th May 2024