What to do: You run a smoothie stand. Use ratios and unit rates to build recipes, find prices, and fill orders. Answer all 6 tasks, then press Check My Work.
0 of 6 tasks answered
One 40–50 minute period. Suggested flow: introduce the smoothie context (2 min) → Tasks 1–3 together or in pairs (15 min) → Tasks 4–6 independently (15 min) → Check and discuss (10 min) → Reflection (5 min). Two-day option: Day 1 = Tasks 1–4; Day 2 = Tasks 5–6, reflection, and save deliverable.
Tasks 1–2 work well as pair activities to spark ratio conversation. Tasks 3–6 are best attempted individually before a brief class share-out. Use the "better buy" task (Task 4) as a whole-class discussion anchor.
Tap + and – to add scoops. Make the ratio of fruit to juice equal 3 to 1.
Tip: a 3 : 1 ratio means 3 fruit for every 1 juice.
A Berry Blast uses 6 berries and 2 bananas. Write the ratio of berries to bananas in lowest terms (like 3:1).
Divide both numbers by their greatest common factor.
4 smoothies cost $12. How much is 1 smoothie? Type just the number of dollars.
Divide $12 by 4 to find the price for 1.
Compare the unit rates. Tap the carton with the lower price per cup.
| Carton | Cups | Price |
|---|---|---|
| Sunny | 3 | $6 |
| Fresh | 5 | $8 |
Find dollars per cup for each, then pick the smaller one.
The recipe is 2 cups fruit for every 5 cups water. If you use 10 cups of water, how many cups of fruit do you need?
10 cups of water is 2 times the recipe.
A $20 smoothie pack is 25% off. 25% means 25 per 100. How many dollars do you save?
25% of $20 = 25/100 × 20 = ?
| Skill | Expert (4) | Proficient (3) | Developing (2) | Beginning (1) |
|---|---|---|---|---|
| Write & Simplify Ratios Tasks 1–2 · 6.RP.A.1 |
Writes ratio correctly and simplifies to lowest terms; explains what the ratio means in context. | Writes ratio correctly and simplifies to lowest terms with no explanation needed. | Writes the ratio correctly but does not simplify, or simplifies incorrectly. | Cannot write or simplify a ratio without significant help. |
| Find Unit Rate Tasks 3–4 · 6.RP.A.2 |
Correctly finds the unit rate for both cartons and clearly identifies the better buy with a written reason. | Correctly finds the unit rate and identifies the better buy. | Sets up the division correctly but makes a calculation error; or identifies one unit rate correctly. | Does not set up or compute unit rates correctly. |
| Scale Ratios & Ratio Tables Task 5 · 6.RP.A.3 |
Correctly scales the recipe; explains the multiplicative relationship (×2) between the original and scaled recipe. | Correctly scales the recipe using equivalent ratios. | Attempts to scale but uses additive reasoning (adds 2 instead of multiplying). | Cannot scale the recipe; no clear strategy shown. |
| Percent as Rate per 100 Task 6 · 6.RP.A.3c |
Finds the correct dollar savings and connects percent to "per 100"; shows or explains setup. | Finds the correct dollar savings from the percent discount. | Sets up the percent correctly but makes an arithmetic error. | Does not connect percent to a rate; cannot compute the savings. |
| Overall Completion & Deliverable | All 6 tasks answered correctly; work saved as PDF or DOC with student name. | 5–6 tasks answered correctly; deliverable saved. | 3–4 tasks answered; deliverable saved or partially completed. | Fewer than 3 tasks; no deliverable saved. |
Sample reflection: "Ratios help me compare amounts. A unit rate like $3 per smoothie makes comparing prices easy because all the denominators are 1. I can use percent like a ratio — 25% means 25 out of 100."
Answer in 2–3 sentences:
Where in real life do people use ratios or unit rates? Give one example from your own life and explain what the ratio or unit rate would mean.