HUNTERTUTORING

Study Guide — 4.NF.B.3

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Understand a fraction a/b with a > 1 as a sum of fractions 1/b

Fractions name equal parts of a whole — the denominator tells how many parts.

What this standard means

  • Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
  • Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.
  • Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
  • Apply understand a fraction a/b with a > 1 as a sum of fractions 1/b with models and explanation

_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 4.NF.B.3.

  • [ ] 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

For your personal study only. Copying, printing, screenshotting, or sharing this material is not permitted and may result in loss of access.

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