Warm-Up 1
Day 6: Ratios and Unit Rates
Use ratio tables, equivalent ratios, rates, and unit rates to compare quantities.
Student Goal
I can use ratios and unit rates to compare quantities.
Why It Matters
Unit rates help students compare prices, speeds, recipes, and other everyday quantities fairly.
Warm-Up
Warm-Up 2
Which ratio is equivalent to 2:3?
Warm-Up 3
Which phrase describes a unit rate?
Short Lesson
Standard Focus
NC.7.RP: Ratios and Proportional Relationships
Student-Friendly Standard Goal
I can find and use unit rates to solve real-world comparison problems.
- A ratio compares two quantities. A rate compares quantities with different units, such as miles per hour.
- A unit rate tells the amount for 1 unit.
- Ratio tables help organize equivalent ratios and make comparisons easier.
Guided Examples
Guided Example 1
Compare Prices
Store A sells 5 pencils for 10 dollars. Store B sells 4 pencils for 9 dollars. Which has the better price per pencil?
Step 1
10 / 5
What is Store A's unit price?
Guided Example 2
Complete a Ratio Table
A recipe uses 3 cups of oats for every 2 cups of raisins. How many cups of oats are needed for 6 cups of raisins?
| Oats | 3 | ? |
| Raisins | 2 | 6 |
Step 1
2 x 3 = 6
What happened to the raisin amount?
Practice
Problem 1
A car travels 120 miles in 3 hours. What is the unit rate in miles per hour?
Problem 2
Which ratio is equivalent to 5:7?
Problem 3
Which is the correct next step to find the unit price for 6 markers costing 18 dollars?
Problem 4
True or false: 3:4 and 6:8 are equivalent ratios.
Problem 5
A student reads 45 pages in 3 days. At the same rate, how many pages per day?
Reflection
How are you feeling about today's skill?
Optional reflection: How can unit rates help you make decisions?