HUNTERTUTORING

Study Guide — 6.RP.A.3

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Use ratio and rate reasoning to solve real-world and mathematical pro…

Ratios and proportional relationships connect quantities — use tables, tape diagrams, and unit rates.

What this standard means

  • Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
  • Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?
  • Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
  • Apply use ratio and rate reasoning to solve real-world and mathematical pro… 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. Write ratios in three forms: a:b, a/b, and words 2. Use double number lines for equivalent ratios 3. Find unit rate before scaling up or down

_See printable PDF for diagram._

Common mistakes

  • Mixing up part-to-part and part-to-whole ratios
  • Adding ratios instead of scaling
  • Forgetting units in unit rate answers

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 6.RP.A.3.

  • [ ] Writes and simplifies ratios correctly
  • [ ] Finds equivalent ratios from a table or diagram
  • [ ] Solves unit rate and percent problems in context

Materials for this standard

  • Practice Problems — 20 printable sets (computational and word problems)
  • Word Problems — 20 word-only sets plus 10 difficulty-tier 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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