1
Understand sequences
Recognise a sequence as an ordered list following a rule or pattern.
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Sequences and Progressions
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2
Continue a sequence
Use observed patterns to extend a sequence.
3
Finite or infinite sequence?
Classify sequences based on whether they stop or continue without end.
4
Write an explicit rule
Express the nth term directly in terms of n.
5
Write a recursive rule
Describe how each term is obtained from previous term or terms.
6
Use an explicit rule
Calculate specific terms when the nth-term rule is given.
7
Use a recursive rule
Start with initial terms and apply the recurrence step by step.
8
Spot an AP
Recognise sequences with a constant difference between consecutive terms.
9
Find AP common difference
Compute and interpret the common difference in an AP.
10
Find AP nth term
Use the first term and common difference to calculate any term.
11
Fill missing AP terms
Use equal differences to determine unknown AP terms.
12
Graph an AP
Represent AP terms and interpret their linear pattern.
13
See the natural number sum
Use pairing or geometric reasoning to understand the sum formula.
14
Use natural number sums
Solve counting and arrangement problems using the sum of natural numbers.
15
Spot a GP
Recognise sequences with a constant multiplicative factor.
16
Find GP common ratio
Compute and interpret the common ratio in a GP.
17
Find GP nth term
Use the first term and common ratio to calculate any term.
18
AP or GP?
Distinguish additive and multiplicative growth patterns.
19
Use AP in real life
Represent repeated equal increases or decreases using APs.
20
Use GP in real life
Represent doubling, halving and percentage-growth situations using GPs.
21
Find GP in fractals
Recognise repeated scaling and multiplicative patterns in simple fractals.
22
Solve Tower of Hanoi patterns
Use recursion to predict the number of moves for increasing numbers of disks.
23
Create a sequence algorithm
Describe step-by-step instructions for generating terms from a rule.
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