Unit Rate - BigEngine

Math 8 Numeracy
Date: ______________
Chapter 2 Ratio, Rate and Proportional Reasoning
Name: ___________________
Lesson 4: Unit Rate
Ratio – compares 2 numbers
 Can be written 3 different ways
 Always simplified & labeled
Rate – how much it is for ONE item
 Divide (money goes on top)
 Always labeled
 Round all answers to the nearest cent (hundredths place)
 Find “better buy” by looking at LOWEST unit rate
We write rate to compare different items, such as cost and weight.
You should always include the unit of measure.
Example:
Twelve notebooks cost $16.00 Find the unit rate.
Rate: A rate is a comparison of two quantities measured in different units.
Always divide the denominator into the numerator, remember to include the units of measurement.
Therefore the denominator will be 1 unit for that measurement.
Find the unit rate:
$550 for 20 hours of work
215 miles on 11 gallons of gas
$5.25 for 3.2 lbs
Example:
A printing press prints 120 sheets in 3 minutes. Express the printing as a unit rate.
Math 8 Numeracy
Date: ______________
Chapter 2 Ratio, Rate and Proportional Reasoning
Name: ___________________
Sam’s Market Weekly Sale Flyer
Here are some items on sale at Sam’s Market. Find the unit rate (unit price) of each
item, and fill in the chart below.
ITEM
Oranges
Quantity
Listed
Price Listed
Unit
12
$3.60
1 orange
Unit Price
Justin needs to buy four pizzas for a party. He found the following three ads in his
local newspaper:
Rosa’s Pizza
Pizza Mart
Collins Pizza
Each 12-inch pizza:
$6.35
Buy 3 and get one
free!
Where would Justin get the best deal?
Each 12 inch
pizza: $4.65
Four-pack of
12-inch pizzas:
$19.60
Math 8 Numeracy
Date: ______________
Chapter 2 Ratio, Rate and Proportional Reasoning
Name: ___________________
Lesson 4: Unit Rate Worksheet
Shima has just finished her first week at school.
 She has made a list of things she will need for the semester.
 At the store, Shima begins to fill her shopping basket. She places the following items in her basket.
Complete the table with the choices you made for Shima.
And Calculate the unit price
Quantity
10
Item
Calculating Unit
Price
Price
Pack of 10 pens
$5.99
$
3
Ruler (30 cm)
$2.28
$
2
Erasers
$0.88
$
Graph paper
$4.88
$
6
Binders
$6.30
$
2
Back bags
$45.98
$
3
pencil sharpeners
$3.30
$
4
highlighters
$6.28
$
4 package
Total Bill
Unit price
$
2. Shima has 2 choices for binders. Which is the better buy? Explain why.
Three
binders
for $3.96
Five
binders
for
$5.75
Math 8 Numeracy
Date: ______________
Chapter 2 Ratio, Rate and Proportional Reasoning
Name: ___________________
3. Shima’s teacher recommends a particular calculator, which is regularly
priced at $ 9.98. It is on sale this week 3 pack of calculators for$25.50,
Calculate the unit price?
4. For mechanical pencils, Shima finds 2 choices:
4-pack of
mechanical
pencils for $3.56
10-pack of
mechanical
pencils for $8.50
Which option should she choose? Why?
5. The 6-pack of highlighters she wants is regularly priced at $9.27. Calculate
the unit price of the pack of highlighters?
7. Shima needs to choose among 3 options for lined loose-leaf paper. She wants
about 500 sheets.
100 sheets
for $2.42
400 sheets
for $4.99
200
sheets for
$2.39
Which option should she choose? Explain why.