A pattern becomes useful only when it is precise enough to test and potentially disprove.
Learning goals
- Describe a pattern precisely
- Generate a prediction from a rule
- Test whether multiple rules fit the same evidence
Watch for these misconceptions
- Any repeated feature is the rule.
- The first plausible rule must be correct.
- A sequence always has one intended continuation.
Require the relationship
‘It goes up’ is a noticing statement. ‘Add three to the previous term’ is a rule. Prompt for what changes, what remains, and how one case produces the next.
Prediction tests precision
Ask pupils to use the rule on an unseen case and then explain whether the result supports or challenges it.
More than one rule can fit
A small dataset may support several explanations. This is not a trick; it is a reason to collect more evidence and communicate uncertainty.
Rule detectives
- Display three cases and collect competing rules.
- Require each group to predict case four.
- Reveal a new case and retain or reject rules with reasons.
- Write the minimum extra evidence needed to choose between remaining rules.
Use colour, shape, sound, or movement patterns.
Ask pupils to construct two different rules that share the first four terms.
A precise rule, prediction, and evidence-based revision.
Check your understanding
Answer each prompt to yourself, then mark whether you can explain it confidently. These are reflective checks, not scored questions.
- Could another rule fit the same examples?
- What prediction follows from this rule?
- What evidence would make you revise it?
Do your questions reward quick pattern spotting or careful rule testing?
Accept two plausible answers to a pattern starter, then ask what new evidence would separate them.
Choose a classroom action above, then mark the lesson complete.