HUNTERTUTORING

Study Guide — 5.NF.B.5

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Interpret multiplication as scaling (resizing), by:

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

What this standard means

  • Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
  • Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.
  • Apply interpret multiplication as scaling (resizing), by: 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 5.NF.B.5.

  • [ ] 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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