Study Guide — 5.NF.B.4
Apply and extend previous understandings of multiplication to multipl…
Add and subtract fractions with like denominators and connect to unit fraction understanding.
What this standard means
- Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)
- Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
- Apply apply and extend previous understandings of multiplication to multipl… with models and explanation
- Adds/subtracts like-denominator fractions with models
_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. Draw models before adding numerators 2. Keep denominators the same when adding parts 3. Simplify answers when appropriate
_See printable PDF for diagram._
Common mistakes
- Adding denominators
- Forgetting the whole context
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.NF.B.4.
- [ ] Adds/subtracts like-denominator fractions with models
- [ ] Explains why denominators stay the same
- [ ] Solves simple fraction word problems
Materials for this standard
- Practice Problems — 20 printable sets
- Review — 10 difficulty levels
- Practice Test — 10 difficulty levels
- Answer key — for parents and tutors