Transcript document

th
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Grade Math Homework
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Answers
th
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Grade Math Homework
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And
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Our Learning Goal for Chapter 8
Students will understand ratios,
proportions, and percents by being able
to write ratios, find unit rates, solve
proportions, identify similar figures, find
unknown measures, make scale
drawings, understand relationships,
and solve problems including those
involving discounts, tips, sales tax, and
simple interest.
Our Learning Goal Assignments
• Learn to write ratios and rates and to find unit rates (8-1)
• Learn to write and solve proportions (8-2)
• Learn to use proportions to make conversions within the
customary system (8-3)
• Learn to use ratios to identify similar figures (8-4)
• Learn to use proportions and similar figures to find unknown
measures (8-5)
• Learn to read and use map scale and scale drawings (8-6)
• Learn to write percents as decimals and as fractions (8-7)
• Learn to write decimals and fractions as percents (8-8)
• Learn to find the missing value in a percent problem (8-9)
• Learn to solve percent problems that involve discounts, tips,
and sales tax (8-10)
Proportions and Customary
8-3 Measurement
Warm Up
Problem of the Day
Lesson Presentation
Course 1
Proportions and Customary
8-3 Measurement
Warm Up
Find the missing value in each proportion.
4
24
1. __
= __
1
x
2. __
=
30
14
__
3. =
16
8
__
4. =
x
Course 1
x
5
__
6
x
__
40
12
__
18
x=6
x = 25
x = 35
x = 12
Proportions and Customary
8-3 Measurement
Problem of the Day
There are 4 ounces in a gill. There are 4
gills in a pint. There are 8 pints in a
gallon. How many ounces are the same
as the total of 3 gallons, 3 pints, 3 gills,
and 3 ounces?
447
Course 1
Proportions and Customary
8-3 Measurement
Today’s Learning Goal Assignment
Learn to use
proportions to make
conversions within
the customary
system.
Course 1
Proportions and Customary
8-3 Measurement
Course 1
Proportions and Customary
8-3 Measurement
Additional Example 1A: Using Proportions to
Convert Measurements
A. Sonja went hiking for 4 hours. For how
many minutes did she go hiking?
1 hr
4 hr
_____
= ____
60 min
x min
60 • 4 = 1 • x
1 hour is 60 minutes. Write
a proportion. Use a
variable for the value you
are trying to find.
The cross products are equal.
240 = x
Sonja hiked for 240 minutes.
Course 1
Proportions and Customary
8-3 Measurement
Try This: Example 1A
A. Helga went biking for 3 hours. For how
many minutes did she go biking?
1 hr
3 hr
_____
= ____
60 min
x min
60 • 3 = 1 • x
1 hour is 60 minutes. Write
a proportion. Use a
variable for the value you
are trying to find.
The cross products are equal.
180 = x
Helga biked for 180 minutes.
Course 1
Proportions and Customary
8-3 Measurement
Additional Example 1B: Using Proportions to
Convert Measurements
B. Mr. Lee is 72 inches tall. Find his height in feet.
1 foot is 12 inches. Write a
1 ft
x ft
____
____
proportion. Use a variable
=
12 in 72 in.
for the value you are trying
to find.
12 • x = 1 • 72 The cross products are equal.
12x = 72
x is multiplied by 12.
12x = ___
72
___
Divide both sides by 12 to undo
12
12
the multiplication.
x=6
Mr. Lee is 6 feet tall.
Course 1
Proportions and Customary
8-3 Measurement
Try This: Example 1B
B. Ms. Hagan is 60 inches tall. Find her height in
feet.
1 foot is 12 inches. Write a
1 ft
x ft
____
____
proportion. Use a variable
=
12 in. 60 in.
for the value you are trying
to find.
12 • x = 1 • 60
12x = 60
The cross products are equal.
x is multiplied by 12.
12x
60
___
Divide both sides by 12 to undo
= ___
12
12
the multiplication.
x=5
Ms. Hagan is 5 feet tall.
Course 1
Proportions and Customary
8-3 Measurement
Additional Example 1C: Using Proportions to
Convert Measurements
C. Hunter used 56 cups of water to wash his car.
How many gallons of water did he use?
1 gallon is 16 cups. Write a
1 gal
x gal
_______
______
=
16 cups
56 cups proportion. Use a variable for the
value you are trying to find.
16 • x = 1 • 56
The cross products are equal.
16x = 56
x is multiplied by 16.
16x = ___
56
___
Divide both sides by 16 to undo
16
16
the multiplication.
x = 3.5
Hunter used 3.5 gallons of water to wash his car.
Course 1
Proportions and Customary
8-3 Measurement
Try This: Example 1C
C. Seymour used 40 cups of water to wash his
dog. How many gallons of water did he
use?
1 gallon is 16 cups. Write a
1
gal
x
gal
_______ = ______
16 cups
40 cups proportion. Use a variable for the
value you are trying to find.
16 • x = 1 • 40
The cross products are equal.
16x = 40
x is multiplied by 16.
16x = ___
40
___
16
16
Divide both sides by 16 to undo
the multiplication.
x = 2.5
Seymour used 2.5 gallons of water to wash his dog.
Course 1
th
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Grade Math Homework
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#1-5
Proportions and Customary
8-3 Measurement
Insert Lesson Title Here
Lesson Quiz
Find the missing value.
1.
in. = 6 yd
2. 24 pt =
gal
216
3
Compare. Write <, >, or =.
1 lb. >
2__
2
4. 7,920 ft 1.5 mi =
3. 42 oz
5. If your family is going to take a 3-week
vacation, how many days will you be gone?
21 days
Course 1