Ratio Rate Lab Worksheet
Grade 6-7 Mathematics
Ratio & Rate Lab
Name:
Date:
Period:
1
Ratio: A comparison of two quantities by division (written as \(a:b\), \(a \text{ to } b\), or \(\frac{a}{b}\)).
2
Rate: A special ratio that compares two quantities measured in different units (e.g., miles per hour).
Part 1
Understanding & Representing Ratios
- An art studio mixes paint tools in a supply basket. Count the items below:
Visual Model
(6 Brushes)
(4 Palettes)
(2 Ink Pens)
a. Ratio of brushes to palettes in simplest form:
b. Ratio of ink pens to total items in simplest form:
c. If the studio orders 18 brushes, how many palettes are needed?
- A bakery recipe uses a ratio of 3 cups of flour for every 2 cups of sugar. Complete the equivalent ratio table to maintain the recipe:
| Ingredient | Batch 1 | Batch 2 | Batch 3 | Batch 4 |
|---|
| Flour (cups) | 3 | 6 | | 15 |
| Sugar (cups) | 2 | | 8 | |
Part 2
Calculating & Interpreting Rates
- A commuter train travels 210 miles in 3.5 hours at constant speed.
Write the rate as a fraction with units, then calculate the rate:
Rate:
- Maya typed an essay of 680 words in 16 minutes without stopping.
Show your division setup to find her typing speed:
Words per minute:
Ratio & Rate Lab • Page 1 of 2 Turn page to complete Unit Rate & Comparison Showdown →
2
Unit Rates & Consumer Comparison
Name:
Period:
Unit Rate Rule: A unit rate compares a quantity to one unit of another quantity (denominator = 1).
\(\text{Unit Rate} = \frac{\text{Quantity}}{\text{Total Units}}\)
Part 3
Calculate Rates Per One Unit
5. Fuel Economy
A hybrid car travels 432 miles on 12 gallons of gasoline.
Unit Rate:
6. Snack Pack Cost
A pack of 15 granola bars costs $11.25 at the club store.
Cost per bar:
7. Running Pacing
Jordan ran 8 laps around the track in 12 minutes at a steady pace.
Minutes per lap:
Part 4
Best Buy Showdown: Compare Options
Problem 8: The Cereal Aisle Dilemma
Determine the unit price (cost per ounce) for each brand to find which box is the better buy.
Brand A: Family Box 24 oz
Total Price: $4.56
Show unit price work (\(\frac{\text{Price}}{\text{Ounces}}\)):
Unit Price: $________ / oz
Brand B: Giant Box 32 oz
Total Price: $5.44
Show unit price work (\(\frac{\text{Price}}{\text{Ounces}}\)):
Unit Price: $________ / oz
Final Decision: Better Buy: [ ] Brand A [ ] Brand B
Explain your reasoning using your unit rate calculations:
Part 5
Mathematical Reasoning
- Why is finding the unit rate often more helpful for comparison than comparing total costs directly?
Ratio & Rate Lab • Page 2 of 2 Total Score: ______ / 25 pts
