6th grade · Math · Unit 16 of 17
Unit Rates
Price per item, miles per hour
What your child practices
Finding unit rates and unit prices, choosing the better buy, completing rate tables, and converting measurement units with ratios.
Alabama Course of Study content standard: 6.2; 6.3 · finding unit rates and converting measurement units with ratio reasoning
How we explain it
Children can open this short lesson before they practice.
- A unit rate is the amount for 1.
- Divide the total by the number of units.
- Compare unit prices to find the better buy.
Example: 4 notebooks cost $6.00. What is the price of one? $6.00 ÷ 4 = $1.50. Answer: $1.50
Unit Rates in Alabama
In the Alabama Course of Study, this is unit 16 of 17 in 6th grade Math, after Four Quadrants and before Nets & Surface Area.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
Which is the better buy for granola bars: 4 for $12.00 or 5 for $16.25?
- 4 for $12.00
- 5 for $16.25
4 for $12.00
Hint: Find the price of one bar each way: $3.00 and $3.25.
Question 2
A train travels 75 miles in 5 hours at a steady speed. How many miles per hour is that?
- 70
- 5
- 15
- 30
- 20
15
Hint: 75 ÷ 5.
Question 3
There are 12 inches in 1 foot. How many feet are 72 inches?
- 5
- 9
- 6
- 7
- 12
6
Hint: Divide 72 ÷ 12.
Question 4
7 notebooks cost $22.75. What is the price of one notebook?
- $3.25
- $3.50
- $2.75
- $15.75
- $4.25
$3.25
Hint: Divide: $22.75 ÷ 7.
Question 5
The table shows a constant rate. What number goes where the ? is?
Hours Dollars earned 5 15 6 18 8 24 9 ? - 33
- 28
- 36
- 27
- 12
27
Hint: Unit rate: 15 ÷ 5 = 3 per 1. Then 9 × 3.
Question 6
The table shows a constant rate. What number goes where the ? is?
Minutes Pages read 3 6 4 8 8 16 10 ? - 21
- 22
- 26
- 12
- 20
20
Hint: Unit rate: 6 ÷ 3 = 2 per 1. Then 10 × 2.