Study Guide — 5.OA.B.3
Generate two numerical patterns using two given rules
Find and extend patterns in numbers and shapes; use rules to predict next terms.
What this standard means
- Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3" and the starting number 0, and given the rule "Add 6" and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.
- Apply generate two numerical patterns using two given rules with models and explanation
- Extends a numeric or shape pattern
_See printable PDF for diagram._
How to use the 20 practice sets
| Sets | When to use | | --- | --- | | 1–5 | Intro — explore together, short written items | | 6–10 | Core skills — diagrams and written practice | | 11–15 | Mixed review — explain thinking | | 16–20 | Stretch — word problems and mastery tasks |
Pacing: 10–15 minutes per session.
How to practice
1. Build growing patterns with blocks or drawings 2. Describe the rule in words 3. Find missing terms in a sequence
_See printable PDF for diagram._
Common mistakes
- Pattern breaks without noticing
- Describing only the change, not the rule
Review and practice tests
1. Start Review 1/10 when sets 1–3 feel comfortable. 2. Move up one review level with little help. 3. Use Practice Test 4/10–6/10 for mid-standard checks. 4. Practice Test 10/10 is the mastery bar for 5.OA.B.3.
- [ ] Extends a numeric or shape pattern
- [ ] States the rule
- [ ] Finds missing terms
Materials for this standard
- Practice Problems — 20 printable sets
- Review — 10 difficulty levels
- Practice Test — 10 difficulty levels
- Answer key — for parents and tutors