Ratio Detective Worksheet
Ratio Detective Worksheet
Part 1: Equivalent Ratios & Scaling
Name:
Date: Period:
Clue #1: The Golden Rule of Equivalent Ratios
Equivalent ratios show the exact same relationship. To find an equivalent ratio, multiply or divide both numbers by the same factor.
Example:
2 blue : 3 red × 2 ➔ 4 blue : 6 red
(Both quantities multiplied by 2!)
1
Guided Table: Recipe Mix
Guided Practice
A cookie recipe uses 2 cups of sugar for every 3 cups of flour. Fill in the missing numbers using scaling.
| Ingredient | Base Recipe | Double (×2) | Triple (×3) | Times 5 (×5) |
|---|
| Sugar (cups) | 2 | 4 | | |
| | | | |
|
| Flour (cups) | 3 |
| 9 |
|
2
Ratio Check: True or False?
Are the ratios 4 : 6 and 12 : 18 equivalent? Show your work to prove your answer.
Show Your Scaling or Work:
Are they equivalent?
YES
NO
3
Word Problem: Car Wash
Leo can wash 3 cars in 15 minutes. At this same rate, how many minutes will it take him to wash 9 cars?
Step 1: Set up the ratio
Step 2: Find the multiplier
Final Answer:
minutes
Detective Check-in: Got it! Need a little help
Turn page for Unit Rates
Ratio Detective Worksheet
Part 2: Finding Unit Rates ("For Every 1")
Name:
Clue #2: What is a Unit Rate?
A unit rate compares a quantity to exactly ONE unit (like price for 1 item, miles in 1 hour, or points in 1 game).
How to find it: Divide Total ÷ Quantity
Quick Model: $12 for 3 tacos ➔ $12 ÷ 3 = $4 each
4
Guided Steps: Road Trip Speed
Guided Practice
A bus travels 180 miles in 3 hours. What is the unit rate in miles per hour?
Step 1: Write division
180 ÷ 3
Step 2: Solve
Step 3: Unit Rate
mph
5
Grocery Math: Price Per Item
A box with 5 snack packs costs $15. What is the unit price for 1 snack pack?
Show Your Division:
Unit Price:
$ each
6
Detective Challenge: Which is the Better Deal?
Compare the two packs of notebooks. Find the unit price for each to see which deal saves money.
Deal A 4 for $8
Work:
Unit Price: $ / notebook
Deal B 6 for $18
Work:
Unit Price: $ / notebook
Better Buy: The better deal is because it costs less per notebook.
Case Closed Quick Check:
In math, the word "per" means: