Study Guide — 3.NF.A.2
Understand a fraction as a number on the number line; represent fract…
Fractions name equal parts of a whole — the denominator tells how many parts.
What this standard means
- Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.
- Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.
- Apply understand a fraction as a number on the number line; represent fract… with models and explanation
- Partitions shapes into equal parts
_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. Fold paper or shade rectangles to show fractions 2. Use number lines for unit fractions 3. Compare fractions with the same denominator
_See printable PDF for diagram._
Common mistakes
- Unequal parts when partitioning
- Treating numerator and denominator as separate whole numbers
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 3.NF.A.2.
- [ ] Partitions shapes into equal parts
- [ ] Names unit fractions
- [ ] Compares fractions with like denominators
Materials for this standard
- Practice Problems — 20 printable sets
- Review — 10 difficulty levels
- Practice Test — 10 difficulty levels
- Answer key — for parents and tutors