Here are two ways you can go about solving ratio problems…

Math 8 Numeracy
Date: ______________
Chapter 2 Ratio, Rate and Proportional Reasoning
Name: ___________________
Lesson 2: Equivalent Ratios
By the end of this lesson students will know:
 Mathematical strategies for solving problems involving ratios, including tables, and
equivalent fractions.
By the end of this lesson, students will be able to:


Make tables of equivalent ratios.
Find missing values in tables of equivalent ratios.
Warm up:
Julie swims 1 lap for every 3 laps that Joe swims. Eliza made a table showing this relationship:
Julie
1
4
7
10
3
6
9
12
Joe
Is Eliza correct? Why? _______________________________________________________________________________________
_______________________________________________________________________________________
The correct table is:
Julie
1
3
Joe
4
7
10
Example 1: Complete the following tables
Cost of Potatoes
Pounds of
Cost
Potatoes
2
$3.00
4
$6.00
6
8
2
5
10
30
120
150
Example 2: Michaela charges $6.50 per hour to babysit. Complete the table below to show how
much she would earn.
Babysitting Earnings
Hours Worked
1
2
3
4
5
6
Amount Earned
Math 8 Numeracy
Date: ______________
Chapter 2 Ratio, Rate and Proportional Reasoning
Name: ___________________
Lesson 2: Equivalent Ratios
Example 3: At birth, a baby blue whale weighs 5,000 pounds. The baby whale continues to gain
200 pounds per day. Make a table showing how much the baby whale gains in one week.
Remember to include a title and label each column.
Weight Gain of a Baby Whale
Day 0 (birth)
5000
What will the baby whale weigh at the end of 10 days? How did you find your answer?
Example 4: The drama club mixes paint needed for scenery. To make green, the ratio is 2 pints
of blue per 3 pints of yellow. Fill in the missing numbers below. Explain your thinking.
Mixing Green Paint
BLUE
2
1
20
3
YELLOW
9
50
15
60
Example 5: It takes Hans 6 hours to read 480 pages. Today, he is going to read for 5 hours. How
many pages will he read? Fill out the table below to figure out how many pages Hans will read.
Pages Read
HOURS
PAGES
1
2
240
6
480
Try: In one day you earn $108 for 8 hours of work. If you work 32 hours for the week,
what will your weekly pay be?