Page 189 - NUMINO TG_6A
P. 189
Activity 2 Word Problems
jOb ective Solve word problems using proportions.
1. Textbook Instructions Activity 2 Word Problems
In this activity, students will learn how to use 1 . Solve the word problems using proportions.
proportions as they relate to situations of daily a. You need 8 eggs to bake 12 loaves of bread. How many eggs do you need
to bake 24 loaves of bread?
life, including baking and gasoline purchasing.
eggs needed = m
Before the students begin work, talk through
number of eggs 8 m
a few basic questions regarding word loaves of bread 12 = 24
problems using proportions. 8 24 = 12 m
192 = 12m
What should the first step be when m = 16 16 eggs
working a proportion word problem?
Identify what values are used in the problem.
After the values have been identified, b. A car travels 180 miles with 30 gallons of gas. How many gallons of gas
are needed to travel 120 miles?
what’s next? Find what part of the ratio is
unknown. m = gallons of gas needed
After the unknown is established, what’s 180 miles 120
30 gallons m
next? Form ratios and solve. = 20 gallons of gas
Refer to . 180 m = 30 120
m = 20
1. Have students solve the problems using c. A device can pump out 60 gallons of water in 8 minutes. How long will it
proportions. take to pump out 105 gallons of water?
m = minutes needed to pump out the water
60 gallons = 105 14 minutes
8 minutes
m
60 m = 8 105
m = 14
104
2. Build Understanding
Example: 1a.
Step 1: Find the values that are used. Number of eggs and loaves of bread.
Step 2: Find the unknown variable in the problem. The number of eggs needed for 24 loaves of bread.
Step 3: Form ratios from the known and unknown values and solve using cross products.
8 eggs m eggs
12 loaves 24 loaves
8 24 12m, 192 12m, 192 m, m 16
12
172 NUMINO Teacher s Guide
jOb ective Solve word problems using proportions.
1. Textbook Instructions Activity 2 Word Problems
In this activity, students will learn how to use 1 . Solve the word problems using proportions.
proportions as they relate to situations of daily a. You need 8 eggs to bake 12 loaves of bread. How many eggs do you need
to bake 24 loaves of bread?
life, including baking and gasoline purchasing.
eggs needed = m
Before the students begin work, talk through
number of eggs 8 m
a few basic questions regarding word loaves of bread 12 = 24
problems using proportions. 8 24 = 12 m
192 = 12m
What should the first step be when m = 16 16 eggs
working a proportion word problem?
Identify what values are used in the problem.
After the values have been identified, b. A car travels 180 miles with 30 gallons of gas. How many gallons of gas
are needed to travel 120 miles?
what’s next? Find what part of the ratio is
unknown. m = gallons of gas needed
After the unknown is established, what’s 180 miles 120
30 gallons m
next? Form ratios and solve. = 20 gallons of gas
Refer to . 180 m = 30 120
m = 20
1. Have students solve the problems using c. A device can pump out 60 gallons of water in 8 minutes. How long will it
proportions. take to pump out 105 gallons of water?
m = minutes needed to pump out the water
60 gallons = 105 14 minutes
8 minutes
m
60 m = 8 105
m = 14
104
2. Build Understanding
Example: 1a.
Step 1: Find the values that are used. Number of eggs and loaves of bread.
Step 2: Find the unknown variable in the problem. The number of eggs needed for 24 loaves of bread.
Step 3: Form ratios from the known and unknown values and solve using cross products.
8 eggs m eggs
12 loaves 24 loaves
8 24 12m, 192 12m, 192 m, m 16
12
172 NUMINO Teacher s Guide
