Study Guide — 7.RP.A.3

Use proportional relationships to solve multistep ratio and percent p…

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

What this standard means

• Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
• Apply use proportional relationships to solve multistep ratio and percent p… with models and explanation
• Writes and simplifies ratios correctly

_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 7.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