You are opening a school smoothie bar! Use ratios and rates to write your recipes, scale them up for a crowd, find the best prices, and design your menu board.
The school store has approved your smoothie bar idea! To launch it, you need to write a ratio recipe, scale it for bigger batches with an equivalent ratio table, calculate a unit rate so you can price your smoothies fairly, and find the better buy on ingredients. Fill in every calculator, hit the buttons, check off your list, and write your menu board reflection. Then print it for the store manager.
Every smoothie starts as a ratio. Choose how many cups of fruit and cups of yogurt go into one batch. The calculator will show your ratio in all three forms and simplify it.
A ratio compares two quantities. If you have 6 cups of fruit and 4 cups of yogurt, you can write it as 6:4, 6 to 4, or 6/4. To simplify, divide both numbers by their GCF. GCF(6, 4) = 2, so the simplified ratio is 3:2.
Your recipe ratio is just one batch. Build an equivalent ratio table showing 1×, 2×, and 3× the recipe so you can serve more smoothies without changing the taste.
To build equivalent ratios, multiply both parts of the ratio by the same number. If your base is 6:4, then 2× = 12:8 and 3× = 18:12. All three ratios are equivalent because they all simplify to 3:2. The taste stays the same!
Find the unit rate (cost per smoothie) so you can set a fair price. Then use unit rates to compare two ingredient packs and decide which is the better buy.
A unit rate has a denominator of 1. To find cost per smoothie, divide total cost ÷ number of smoothies: $9.00 ÷ 3 = $3.00 per smoothie. For the better buy, find cost per cup for each pack: $4.50 ÷ 3 = $1.50/cup vs. $7.20 ÷ 6 = $1.20/cup. The lower unit price is the better buy.
Choose which smoothie flavor ratio to feature on your menu board. Then check your ratio skills with a known-answer problem.
Write a 3–5 sentence reflection explaining your smoothie bar decisions. Use your real ratio, table, and unit rate numbers from above.
| Category | 4 — Expert | 3 — Proficient | 2 — Developing |
|---|---|---|---|
| Writing & Simplifying Ratios | All 3 forms correct; simplified using GCF with reasoning shown | All 3 forms correct; simplified correctly | Ratio written but simplification incomplete or one form missing |
| Equivalent Ratios / Table | All table rows correct; explains how ratios stay equivalent | All table rows correct | One or two rows correct; pattern partially shown |
| Unit Rate & Better Buy | Unit rate correct; better buy identified with both unit prices compared | Unit rate correct; better buy correct | Unit rate attempted; better buy missing or incorrect |
| Communication | Reflection clearly justifies every number and decision | Reflection uses most numbers and gives a clear decision | Reflection is unclear or missing key numbers |