Name: ___________________ Math 8 Numeracy Date: ______________

Chapter 2 Ratio, Rate and Proportional Reasoning

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.

Name: ___________________ Math 8 Numeracy Date: ______________

Chapter 2 Ratio, Rate and Proportional Reasoning

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 Quantity

Listed Price Listed Unit

Unit Price

Oranges 12 $3.60 1 orange

Justin needs to buy four pizzas for a party. He found the following three ads in his

local newspaper:

Where would Justin get the best deal?

Rosa’s Pizza Pizza Mart Collins Pizza

Each 12-inch pizza:

$6.35

Buy 3 and get one free!

Each 12 inch

pizza: $4.65

Four-pack of 12-inch pizzas:

$19.60

Name: ___________________ Math 8 Numeracy Date: ______________

Chapter 2 Ratio, Rate and Proportional Reasoning

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 Item Price Calculating Unit

Price

Unit price

10 Pack of 10 pens $5.99 $

3 Ruler (30 cm) $2.28 $

2 Erasers $0.88 $

4 package Graph paper $4.88 $

6 Binders $6.30 $

2 Back bags $45.98 $

3 pencil sharpeners $3.30 $

4 highlighters $6.28 $

Total Bill $

2. Shima has 2 choices for binders. Which is the better buy? Explain why.

Three binders for $3.96

Five

binders for

$5.75

Name: ___________________ Math 8 Numeracy Date: ______________

Chapter 2 Ratio, Rate and Proportional Reasoning

4-pack of mechanical

pencils for $3.56

10-pack of mechanical

pencils for $8.50

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:

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.

Which option should she choose? Explain why.

100 sheets for $2.42

400 sheets for $4.99

200 sheets for

$2.39