--- title: "Describing Rules & Patterns" description: "Describe a pattern as a suggested rule, test it against new cases, and explain why matching examples do not prove it always works." canonical: https://lightmysky.com/learn/learning-to-learn/describing-rules-and-patterns-mt_hbe_kdE_7C source: https://lightmysky.com/learn/learning-to-learn/describing-rules-and-patterns-mt_hbe_kdE_7C.md retrieved: 2026-11-12 --- > **Agent view.** This is the Markdown twin of the page, for tools and assistants. > When to use this site, and the call that answers each job: https://lightmysky.com/agent-instructions.md > API description (OpenAPI 3.1): https://lightmysky.com/openapi.json · Authentication: https://lightmysky.com/auth.md > Pricing: https://lightmysky.com/pricing.md · Catalog: https://lightmysky.com/llms.txt · Full catalog: https://lightmysky.com/llms-full.txt > Every machine-readable file on this domain: https://lightmysky.com/.well-known/ai-catalog.json > Ask for Markdown with `Accept: text/markdown`, a `.md` address, or `?mode=agent`. # Describing Rules & Patterns Describe a pattern as a suggested rule, test it against new cases, and explain why matching examples do not prove it always works. Subject: Learning to Learn · Area: Learning to Learn · Ages 8 to 9 Page: https://lightmysky.com/learn/learning-to-learn/describing-rules-and-patterns-mt_hbe_kdE_7C ## Ready when they can - Describe a suggested rule in their own words and identify the entries or cases it covers. - Use a rule to predict a result, compare it with a new checked result, and identify any mismatch. - Distinguish matching examples from a reason covering every allowed case, including a check of every member of a complete small group. ## Lesson: Turning a Pattern into a Rule You have practised spotting patterns. Describe what repeats or changes as a suggested rule. Compare neighbouring entries in order. In 12, 11, 10, each move subtracts 1. Name the action and its size. A short list can fit more than one rule. *(drawing: Adding 3 describes every jump shown. These entries alone do not tell us what every later entry will be.)* A rule gives a prediction. Mia sees 5, 10, 15, 20 and predicts 25 by adding 5. To test it, she reveals a covered entry from the same list and compares. If it shows 25, that case fits. Writing 25 herself follows her rule but does not check the covered entry. To use 'double each time', add the last number to itself. Double 6 is 6 + 6 = 12. Adding 0 is different: it adds nothing, so 6 + 0 = 6. That same reason explains why adding 0 leaves any counting number unchanged. Check every move covered by a rule. In 10, 12, 14, 17, two jumps add 2, but the last adds 3. One mismatch shows that 'always add 2' does not fit this list. For a claim about classroom pencils, check other classroom pencils, not pens or pencils already checked. For a repeating pattern, name the whole repeating part and its order. In red, blue, blue, red, blue, blue, the part is red, blue, blue. 'Use colours' leaves out the order. 'Repeat red, blue, blue' tells someone how to continue. Jumps can follow a changing rule. Start at 1, add 2, then make each later jump 1 larger. This gives 1, 3, 6, 10. The jumps are 2, 3, 4. The next jump is 5, so the next entry is 15. Use the stated rule when predicting. A counterexample is a case that breaks a claim. 'One dress' breaks the claim that every word ending in s names more than one thing. Several matches cannot prove a claim about endless cases. Proof needs a reason covering them all. For a complete small group, checking every member can settle a claim about that group. Two rules can fit the same short list. 'Keep adding 1' and 'add 1 twice, then add 2' both fit 1, 2, 3. They predict 4 and 5 next. Ask for the intended rule or check another entry. Matching the shown entries does not make the next predictions equal. **Recap.** Describe a suggested rule, predict with it and check new cases. Matching examples support it. An 'always' claim needs a reason covering every allowed case. *Original lesson, questions and flashcards about describing rules, comparing predictions and distinguishing examples from proof, written for this dataset.* ## Practice 14 questions on this page, each with its working shown. ## Needs first - [Spotting Patterns](https://lightmysky.com/learn/learning-to-learn/spotting-patterns-mt_wvcFlwOrDl) ## Opens up - [Fair testing (age 9+)](https://lightmysky.com/learn/science/fair-testing-age-9-mt_5PgQB0QkWi) - [Generalising from repeated reasoning](https://lightmysky.com/learn/mathematics/generalising-from-repeated-reasoning-mt_aivrWs6jrS) - [Generalising with repeated reasoning](https://lightmysky.com/learn/mathematics/generalising-with-repeated-reasoning-mt_iyovKgZC1q) - [Reasoning with Equivalences](https://lightmysky.com/learn/mathematics/reasoning-with-equivalences-mt_jCy07DyBNU) - [Checking sources against each other](https://lightmysky.com/learn/history/checking-sources-against-each-other-mt_wWlZoLQBR6) - [Correlation vs Causation](https://lightmysky.com/learn/science/correlation-vs-causation-mt_X0Tr8IYaEd)