What comes next in each pattern?
Pattern A: 1, TWO, 3, FOUR, 5, ? — Pattern B: 1, 2, THREE, FOUR, 5, 6, ?, ? — Notice TWO things changing: the number values AND whether they're numerals or words!
In these patterns, you need to track TWO separate things:
1. What NUMBER comes next? (counting up)
2. Should it be a NUMERAL (like "6") or a WORD (like "SIX")?
Pattern A alternates EVERY time!
Numeral, word, numeral, word, numeral...
Odd positions (1st, 3rd, 5th) are numerals. Even positions (2nd, 4th, 6th) are words.
Pattern B switches in PAIRS!
Two numerals, then two words, then two numerals...
It's like: numeral-numeral, word-word, numeral-numeral, word-word...
For Pattern A: Position 6 is even, so it should be a WORD = "SIX"
For Pattern B: After numerals 5, 6, the next pair should be words = "SEVEN", "EIGHT"
Does your answer follow the rule you discovered?
Pattern A: Simple Alternation
Rule: Format switches EVERY time — numeral, word, numeral, word...
Answer: SIX (as a word) — because odd positions are numerals, even positions are words.
Pattern B: Double Alternation
Rule: Format switches in PAIRS — two numerals, two words, two numerals...
Answer: SEVEN, EIGHT (as words) — because after a pair of numerals comes a pair of words.
Key skill: When patterns mix formats, always ask: "What's the RULE for when it switches?" Simple patterns alternate every time. Complex patterns might switch in groups!
🤔 Which thinking lens(es) did you use?
Select all the lenses you used:
🌱 A Small Everyday Story
"What's next?"
"Seven?"
"Yes, but HOW should we write it?"
"Oh! There are TWO patterns at once!"
Noticing complexity is a skill.
See more guidance →
🧠 Thinking habits this builds:
- Tracking multiple variables simultaneously
- Distinguishing between simple and complex patterns
- Finding the "rule" behind a sequence
- Testing predictions against patterns
🌿 Behaviors you may notice (and reinforce):
- Separating number value from number format
- Stating the rule explicitly before predicting
- Checking if the prediction follows the rule
- Noticing when patterns switch in groups vs. every time
How to reinforce: "You found a rule AND tested it! That's exactly how mathematicians work."
🔄 When ideas are still forming:
Children might only notice one pattern (the counting) and miss the format switching.
Helpful response: "You got the number right! Now look at HOW each number is written. Do you see another pattern?"
🔬 If you want to go deeper:
- Can you create a pattern that switches every THREE items?
- What if we added a third variable (like color)?
- How would you describe these patterns to a friend?
Key concepts (for adults): Multi-variable patterns, pattern recognition, rule extraction, periodicity.