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.
Minnesota K-12 Academic Standards benchmark: 6.3.5.10; 6.2.3.3 · unit rates, and converting measurements
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 Minnesota
In the Minnesota K-12 Academic Standards, 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
6 notebooks cost $18.00. What is the price of one notebook?
- $4.00
- $2.25
- $12.00
- $3.00
- $3.75
$3.00
Hint: Divide: $18.00 ÷ 6.
Question 2
Which is the better buy for granola bars: 4 for $4.00 or 6 for $9.00?
- 4 for $4.00
- 6 for $9.00
4 for $4.00
Hint: Find the price of one bar each way: $1.00 and $1.50.
Question 3
The table shows a constant rate. What number goes where the ? is?
Gallons Miles 1 9 4 36 8 72 9 ? - 99
- 82
- 18
- 63
- 81
81
Hint: Unit rate: 9 ÷ 1 = 9 per 1. Then 9 × 9.
Question 4
A train travels 90 miles in 3 hours at a steady speed. How many miles per hour is that?
- 33
- 30
- 87
- 40
- 20
30
Hint: 90 ÷ 3.
Question 5
There are 12 inches in 1 foot. How many feet are 24 inches?
- 2
- 1
- 3
- 5
- 4
2
Hint: Divide 24 ÷ 12.
Question 6
A car drives 50 miles in 2 hours at a steady speed. How many miles per hour is that?
- 27
- 25
- 35
- 20
- 48
25
Hint: 50 ÷ 2.