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Unit 3 · CCSS 6.RP.A.2–3

Ratio Rally: Rates, Unit Rates & Percent

Tune the rates to win. Learn, practice, and show what you know.

Learning Target

Standard: CCSS 6.RP.A.2–3 Estimated time: 45–55 minutes Materials: This page, pencil or scratch paper, calculator (optional) Branding: Neft Teacher
🍎 Teacher Notes (click to open)

Pacing

Suggested flow: Engage 5 min → Explore 10 min (game/hub) → Explain 10 min → Apply 15 min → Reflect 5 min. Total ≈ 45–55 min.

Grouping

  • Whole class: Engage hook (think-pair-share the car question).
  • Individual or pairs: Explore links, Explain reading.
  • Individual: Apply self-check and main practice, Reflect writing.

Differentiation — Support

  • Provide a ratio table template for students who struggle with equivalent ratios.
  • Allow calculators for the Percent questions; focus on the concept of "per 100."
  • Pair with a peer during Explore; the 3D game gives immediate corrective feedback.

Differentiation — Challenge

  • Ask students to write their own word problem using unit rates from a real-world context.
  • Extension: find the percent discount if a $60 item is on sale for $45.

ESOL / Language Supports

  • Vocabulary table (Explain section) provides plain-language definitions — point students to it.
  • Key terms (rate, unit rate, percent, equivalent) are bolded throughout.
  • Sentence frames for Reflect: "I find a unit rate by ___." / "I see rates in real life when ___."
  • Allow bilingual dictionaries during reading portions.

1 · Engage Hook

Think: A car drives 120 miles in 2 hours. How many miles in 1 hour?

That "miles in 1 hour" is a unit rate. Today you will race with rates, unit rates, and percent. Ready your engine!

2 · Explore Play & Discover

Open these. Look for how rates and percent work, then come back.

▶ Play Ratio Rally (3D Game) 📚 Math Hub 📖 Graphic Novels

3 · Explain Learn It

Ratio: compares two amounts. Example: 3 cups water to 1 cup juice = 3 : 1.

Rate: a ratio with different units. Example: 120 miles in 2 hours.

Unit rate: the rate for 1. Divide to get it.

Worked example — Unit rate

A car goes 120 miles in 2 hours.

120 ÷ 2 = 60. So the unit rate is 60 miles per hour.

Worked example — Percent

Find 25% of 80. Percent means "out of 100."

25% = 0.25, and 0.25 × 80 = 20.

WordEasy meaning
RateHow much of one thing for another (miles per hour)
Unit rateThe amount for just 1 (60 miles per 1 hour)
PercentA number out of 100 (50% = 50 out of 100)
Equivalent ratiosRatios that are equal (1:2 = 2:4)

4 · Apply Practice

Quick Self-Check — pick the best answer, then press Check.

You will get instant feedback for each question.

SC-1. A runner goes 18 miles in 3 hours. What is the unit rate?

SC-2. Which ratio is equivalent to 3 : 4?

SC-3. What is 30% of 90?

SC-4. A store sells 5 notebooks for $7.50. What is the cost for 1 notebook?

Graded Practice — type your answers, then press Check My Answers.

These questions are scored and saved to your report.

Rubric How Your Work Is Scored

Level Score What it looks like
4 — Expert 5 / 5 graded + clear reflection All answers correct; explains unit rate and percent in own words; real-world example is specific and accurate.
3 — Proficient 4 / 5 graded + adequate reflection Most answers correct; explanation shows understanding; minor errors in wording or example.
2 — Developing 2–3 / 5 graded + partial reflection Some correct answers; shows partial understanding; reflection is brief or missing the key idea.
1 — Beginning 0–1 / 5 graded Answers are missing or mostly incorrect; little evidence of understanding rates or percent.

5 · Reflect Your Thinking

Good mathematicians explain their thinking. Answer both prompts in complete sentences. Use math vocabulary from the Explain section.

Deliverable: When both text boxes are filled in, press Save as PDF or Save as DOC at the top to submit your completed HyperDoc. Your teacher will see your answers, your score, and your reflection.
🔑 Answer Key — Teacher Only

Graded Practice:

  1. 150 ÷ 3 = 50 miles per hour
  2. $4 ÷ 8 = 0.5 (or $0.50 per apple)
  3. 2 × 2 = 4, so 5 × 2 = 10
  4. 0.50 × 60 = 30
  5. 0.20 × 200 = 40

Self-Check: SC-1 = C (6 mph) · SC-2 = B (6:8) · SC-3 = A (27) · SC-4 = C ($1.50)

Reflect sample answers:

  • A. "To find a unit rate, I divide the first quantity by the second quantity so I get the amount for just 1."
  • B. "I see percent when a store has a 20%-off sale. I multiply the price by 0.20 to find how much I save."