What is the ratio of red circles to blue circles?
15 : 14
A comparison of two numbers.
Ratio
What is an equivalent ratio for:
2 : 3
4 : 6 or 6 : 9 or 8 : 12 or etc.
6 bananas cost $1.98 at the grocery store.
How much is the unit cost per banana?
$0.33 per banana
or
$0.33/banana
Which is the better deal?
2 chocolate bars for $1.99
or
5 chocolate bars for $4.50
5 chocolate bars for $4.50
($0.90 per chocolate bar)
What is the ratio of blue circles to total number of circles?
14 : 31
When rates are expressed as a quantity of 1.
Unit Rate
Find two equivalent ratios for:
1 : 5 : 2
2: 10 : 4 or 3 : 15 : 6 or 4 : 20 : 8
...etc
Karen earns $116 in 8 hours at her job.
What is Karen's hourly rate of pay?
$14.50 per hour
or
$14.50/hour
Milk is sold in two different packages:
A 1L carton costs $1.99
A 4L bag costs $3.99
Which is the best deal?
The 4L bag of milk.
($0.99/L)
What is the ratio of circles to total number of shapes?
11 : 15
Two ratios that express the same relationship between numbers.
Equivalent Ratios
Are the following ratios equivalent?
5 : 9 and 15 : 19
No!
The speed limit on the Linc is 90 km/h.
How far could you drive in 3 hours? (WITHOUT SPEEDING)
270 km
Caleb works 40 hours a week and earns $500
Nick works 35 hours a week and earns $472.50
Who has the higher rate of pay?
Nick has the higher rate of pay.
Caleb makes $12.50/hr
Nick makes $13.50/hr.
What is the ratio of red circles to green circles to blue stars?
7 : 4 : 4
A type of ratio that compares two quantities that have different units of measurement.
Rate
Type of ratio that compares two quantities that have different units of measurement.
Rate
Jackson works 40 hours a week and is paid $20 per hour.
How much does Jackson earn in a week?
$800
Sugar is sold in 2 different sized bags:
1 kg for $1.40
2 kg for $2.85
Which is the best deal?
1 kg for $1.40
What is the ratio of odd numbered dice to even numbered dice?
14 : 10
Different rates that have the same value
Equivalent Rates
A secretary types 240 words in 3 minutes.
1. How many words can the secretary type in 6 minutes?
2. What is the unit rate?
1. 480 words
2. 80 words per minute
A cheetah can run at speeds of up to 30 metres/second.
How long would it take a cheetah to run 45 metres?
1.5 seconds
Alycia and Kaitlyn both run a marathon which is 40 km long.
Alycia runs the marathon at a speed of 10 km/h.
Kaitlyn takes 5 hours to finish the marathon.
Who will finish the marathon first?
Alycia will finish first because Kaitlyn's speed is only 8 km/h.