Spotting mathematical patterns
Notice simple patterns and structures: spot that changing order doesn't change the total, and recognise how numbers relate to each other
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Teaching Table
Set out your lesson
Explain a pattern using its structure.
Ask the learner to explain one prerequisite idea before starting. If uncertain, revisit it; graph order is not learner readiness.
Check readiness rather than assuming source graph order establishes attainment.
Use buttons or the supplied dot groups.
Use the supplied stage cards on screen or scrap paper; adult key stays separate.
Materials are ready in each step. Use them on screen or print just the current step. Put teaching examples aside before the learner tries.
What this lesson covers and its limits
These are bounded opportunities, not learner attainment. Partial and blocked source requirements remain so.
- partial: Notice simple patterns and structures: spot that changing order doesn't change the total, and recognise how numbers relate to each other
Bounded objective: Explain a pattern using its structure. Three structures sampled; no assertion that a short finite sequence has a unique rule.
- partial: Notice that 3 + 2 gives the same answer as 2 + 3 (early commutativity)
Reversed addend groups compared with same objects.
- partial: Recognise that teen numbers are 'ten and some more' (e.g. 14 is 10 and 4)
Fourteen/seventeen split into ten plus ones.
- partial: Spot a pattern in a sequence of objects or numbers and predict what comes next
Repeating and stated add-three rule completed; not unique-rule claim for arbitrary sequences.
- partial: Has {{name}} noticed that adding numbers in a different order gives the same answer — like 3 + 5 and 5 + 3 both equal 8 — and can they explain why that makes sense?
Try offers new-items-application for the bounded objective; it does not establish every part of the source assessment. Three structures sampled; no assertion that a short finite sequence has a unique rule.
Three structures sampled; no assertion that a short finite sequence has a unique rule.
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Teaching approaches
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1 approach
Explain a pattern using its structure.
Explain a pattern using its structure.
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Learning resources
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Check understanding
- Notice that 3 + 2 gives the same answer as 2 + 3 (early commutativity)
- Recognise that teen numbers are 'ten and some more' (e.g. 14 is 10 and 4)
- Spot a pattern in a sequence of objects or numbers and predict what comes next
“Has your child noticed that adding numbers in a different order gives the same answer — like 3 + 5 and 5 + 3 both equal 8 — and can they explain why that makes sense?”
Curriculum record
- Type
- Meta
- Subject
- Mathematics
- Domain
- Mathematical Thinking
- Age range
- Ages 5–6